id	sid	tid	token	lemma	pos
ap-4125	1	1	acta	acta	PROPN
ap-4125	1	2	polytechnica	polytechnica	PROPN
ap-4125	1	3	doi:10.14311	doi:10.14311	PROPN
ap-4125	1	4	/	/	SYM
ap-4125	1	5	ap.2018.58.0201	ap.2018.58.0201	PROPN
ap-4125	1	6	acta	acta	PROPN
ap-4125	1	7	polytechnica	polytechnica	PROPN
ap-4125	1	8	58(3):201–208	58(3):201–208	PROPN
ap-4125	1	9	,	,	PUNCT
ap-4125	1	10	2018	2018	NUM
ap-4125	1	11	©	©	PROPN
ap-4125	1	12	czech	czech	PROPN
ap-4125	1	13	technical	technical	PROPN
ap-4125	1	14	university	university	PROPN
ap-4125	1	15	in	in	ADP
ap-4125	1	16	prague	prague	PROPN
ap-4125	1	17	,	,	PUNCT
ap-4125	1	18	2018	2018	NUM
ap-4125	1	19	available	available	ADJ
ap-4125	1	20	online	online	ADV
ap-4125	1	21	at	at	ADP
ap-4125	1	22	http://ojs.cvut.cz/ojs/index.php/ap	http://ojs.cvut.cz/ojs/index.php/ap	PROPN
ap-4125	1	23	particle	particle	NOUN
ap-4125	1	24	motion	motion	NOUN
ap-4125	1	25	on	on	ADP
ap-4125	1	26	the	the	DET
ap-4125	1	27	surface	surface	NOUN
ap-4125	1	28	of	of	ADP
ap-4125	1	29	a	a	DET
ap-4125	1	30	concave	concave	ADJ
ap-4125	1	31	soil	soil	NOUN
ap-4125	1	32	-	-	PUNCT
ap-4125	1	33	tilling	till	VERB
ap-4125	1	34	disk	disk	NOUN
ap-4125	1	35	serhii	serhii	NOUN
ap-4125	1	36	f.	f.	PROPN
ap-4125	1	37	pylypakaa	pylypakaa	PROPN
ap-4125	1	38	,	,	PUNCT
ap-4125	1	39	mykola	mykola	PROPN
ap-4125	1	40	b.	b.	PROPN
ap-4125	1	41	klendiib	klendiib	PROPN
ap-4125	1	42	,	,	PUNCT
ap-4125	1	43	oleksandra	oleksandra	PROPN
ap-4125	1	44	m.	m.	NOUN
ap-4125	1	45	klendiib,∗	klendiib,∗	CCONJ
ap-4125	1	46	a	a	DET
ap-4125	1	47	national	national	ADJ
ap-4125	1	48	university	university	NOUN
ap-4125	1	49	of	of	ADP
ap-4125	1	50	life	life	NOUN
ap-4125	1	51	and	and	CCONJ
ap-4125	1	52	environmental	environmental	ADJ
ap-4125	1	53	sciences	science	NOUN
ap-4125	1	54	of	of	ADP
ap-4125	1	55	ukraine	ukraine	NOUN
ap-4125	1	56	,	,	PUNCT
ap-4125	1	57	heroiv	heroiv	VERB
ap-4125	1	58	oborony	oborony	NOUN
ap-4125	1	59	str	str	PROPN
ap-4125	1	60	.	.	PUNCT
ap-4125	1	61	,	,	PUNCT
ap-4125	1	62	15	15	NUM
ap-4125	1	63	,	,	PUNCT
ap-4125	1	64	kyiv	kyiv	ADJ
ap-4125	1	65	,	,	PUNCT
ap-4125	1	66	ukraine	ukraine	PROPN
ap-4125	1	67	b	b	PROPN
ap-4125	1	68	separated	separate	VERB
ap-4125	1	69	subdivision	subdivision	NOUN
ap-4125	1	70	of	of	ADP
ap-4125	1	71	national	national	ADJ
ap-4125	1	72	university	university	PROPN
ap-4125	1	73	of	of	ADP
ap-4125	1	74	life	life	NOUN
ap-4125	1	75	and	and	CCONJ
ap-4125	1	76	environmental	environmental	ADJ
ap-4125	1	77	sciences	science	NOUN
ap-4125	1	78	of	of	ADP
ap-4125	1	79	ukraine	ukraine	PROPN
ap-4125	1	80	berezhany	berezhany	PROPN
ap-4125	1	81	agrotechnical	agrotechnical	PROPN
ap-4125	1	82	institute	institute	PROPN
ap-4125	1	83	,	,	PUNCT
ap-4125	1	84	akademichna	akademichna	VERB
ap-4125	1	85	str	str	PRON
ap-4125	1	86	.	.	PUNCT
ap-4125	1	87	,	,	PUNCT
ap-4125	1	88	20	20	NUM
ap-4125	1	89	,	,	PUNCT
ap-4125	1	90	berezhany	berezhany	ADJ
ap-4125	1	91	,	,	PUNCT
ap-4125	1	92	ukraine	ukraine	NOUN
ap-4125	1	93	.	.	PUNCT
ap-4125	2	1	∗	∗	NOUN
ap-4125	2	2	corresponding	correspond	VERB
ap-4125	2	3	author	author	NOUN
ap-4125	2	4	:	:	PUNCT
ap-4125	2	5	klendii_o@ukr.net	klendii_o@ukr.net	X
ap-4125	3	1	abstract	abstract	ADJ
ap-4125	3	2	.	.	PUNCT
ap-4125	4	1	relative	relative	ADJ
ap-4125	4	2	particle	particle	NOUN
ap-4125	4	3	motion	motion	NOUN
ap-4125	4	4	on	on	ADP
ap-4125	4	5	the	the	DET
ap-4125	4	6	internal	internal	ADJ
ap-4125	4	7	rough	rough	ADJ
ap-4125	4	8	surface	surface	NOUN
ap-4125	4	9	of	of	ADP
ap-4125	4	10	a	a	DET
ap-4125	4	11	concave	concave	ADJ
ap-4125	4	12	soil	soil	NOUN
ap-4125	4	13	-	-	PUNCT
ap-4125	4	14	tilling	till	VERB
ap-4125	4	15	disk	disk	NOUN
ap-4125	4	16	,	,	PUNCT
ap-4125	4	17	which	which	PRON
ap-4125	4	18	rotates	rotate	VERB
ap-4125	4	19	around	around	ADP
ap-4125	4	20	horizontal	horizontal	ADJ
ap-4125	4	21	axis	axis	NOUN
ap-4125	4	22	under	under	ADP
ap-4125	4	23	a	a	DET
ap-4125	4	24	soil	soil	NOUN
ap-4125	4	25	reaction	reaction	NOUN
ap-4125	4	26	force	force	NOUN
ap-4125	4	27	,	,	PUNCT
ap-4125	4	28	has	have	AUX
ap-4125	4	29	been	be	AUX
ap-4125	4	30	considered	consider	VERB
ap-4125	4	31	.	.	PUNCT
ap-4125	5	1	a	a	DET
ap-4125	5	2	disk	disk	NOUN
ap-4125	5	3	blade	blade	NOUN
ap-4125	5	4	is	be	AUX
ap-4125	5	5	positioned	position	VERB
ap-4125	5	6	in	in	ADP
ap-4125	5	7	a	a	DET
ap-4125	5	8	vertical	vertical	ADJ
ap-4125	5	9	plane	plane	NOUN
ap-4125	5	10	,	,	PUNCT
ap-4125	5	11	which	which	PRON
ap-4125	5	12	makes	make	VERB
ap-4125	5	13	an	an	DET
ap-4125	5	14	incidence	incidence	NOUN
ap-4125	5	15	angle	angle	NOUN
ap-4125	5	16	with	with	ADP
ap-4125	5	17	the	the	DET
ap-4125	5	18	direction	direction	NOUN
ap-4125	5	19	of	of	ADP
ap-4125	5	20	the	the	DET
ap-4125	5	21	machine	machine	NOUN
ap-4125	5	22	movement	movement	NOUN
ap-4125	5	23	.	.	PUNCT
ap-4125	6	1	this	this	DET
ap-4125	6	2	angle	angle	NOUN
ap-4125	6	3	has	have	VERB
ap-4125	6	4	its	its	PRON
ap-4125	6	5	acceptable	acceptable	ADJ
ap-4125	6	6	limit	limit	NOUN
ap-4125	6	7	and	and	CCONJ
ap-4125	6	8	when	when	SCONJ
ap-4125	6	9	it	it	PRON
ap-4125	6	10	exceeds	exceed	VERB
ap-4125	6	11	the	the	DET
ap-4125	6	12	limit	limit	NOUN
ap-4125	6	13	,	,	PUNCT
ap-4125	6	14	it	it	PRON
ap-4125	6	15	causes	cause	VERB
ap-4125	6	16	disk	disk	NOUN
ap-4125	6	17	dragging	dragging	NOUN
ap-4125	6	18	.	.	PUNCT
ap-4125	7	1	in	in	ADP
ap-4125	7	2	the	the	DET
ap-4125	7	3	paper	paper	NOUN
ap-4125	7	4	,	,	PUNCT
ap-4125	7	5	it	it	PRON
ap-4125	7	6	has	have	AUX
ap-4125	7	7	been	be	AUX
ap-4125	7	8	assumed	assume	VERB
ap-4125	7	9	that	that	SCONJ
ap-4125	7	10	dragging	drag	VERB
ap-4125	7	11	was	be	AUX
ap-4125	7	12	non	non	ADJ
ap-4125	7	13	-	-	ADJ
ap-4125	7	14	existent	existent	ADJ
ap-4125	7	15	,	,	PUNCT
ap-4125	7	16	the	the	DET
ap-4125	7	17	rotational	rotational	ADJ
ap-4125	7	18	rate	rate	NOUN
ap-4125	7	19	of	of	ADP
ap-4125	7	20	a	a	DET
ap-4125	7	21	disk	disk	NOUN
ap-4125	7	22	is	be	AUX
ap-4125	7	23	stable	stable	ADJ
ap-4125	7	24	and	and	CCONJ
ap-4125	7	25	it	it	PRON
ap-4125	7	26	depends	depend	VERB
ap-4125	7	27	on	on	ADP
ap-4125	7	28	stabilized	stabilized	ADJ
ap-4125	7	29	velocity	velocity	NOUN
ap-4125	7	30	of	of	ADP
ap-4125	7	31	the	the	DET
ap-4125	7	32	machine	machine	NOUN
ap-4125	7	33	movement	movement	NOUN
ap-4125	7	34	and	and	CCONJ
ap-4125	7	35	on	on	ADP
ap-4125	7	36	an	an	DET
ap-4125	7	37	incidence	incidence	NOUN
ap-4125	7	38	angle	angle	NOUN
ap-4125	7	39	.	.	PUNCT
ap-4125	8	1	when	when	SCONJ
ap-4125	8	2	a	a	DET
ap-4125	8	3	machine	machine	NOUN
ap-4125	8	4	is	be	AUX
ap-4125	8	5	operated	operate	VERB
ap-4125	8	6	,	,	PUNCT
ap-4125	8	7	soil	soil	NOUN
ap-4125	8	8	particles	particle	NOUN
ap-4125	8	9	get	get	VERB
ap-4125	8	10	onto	onto	ADP
ap-4125	8	11	an	an	DET
ap-4125	8	12	internal	internal	ADJ
ap-4125	8	13	disk	disk	NOUN
ap-4125	8	14	surface	surface	NOUN
ap-4125	8	15	and	and	CCONJ
ap-4125	8	16	perform	perform	VERB
ap-4125	8	17	a	a	DET
ap-4125	8	18	relative	relative	ADJ
ap-4125	8	19	motion	motion	NOUN
ap-4125	8	20	,	,	PUNCT
ap-4125	8	21	which	which	PRON
ap-4125	8	22	determines	determine	VERB
ap-4125	8	23	the	the	DET
ap-4125	8	24	slipping	slip	VERB
ap-4125	8	25	trajectory	trajectory	NOUN
ap-4125	8	26	of	of	ADP
ap-4125	8	27	a	a	DET
ap-4125	8	28	particle	particle	NOUN
ap-4125	8	29	on	on	ADP
ap-4125	8	30	a	a	DET
ap-4125	8	31	disk	disk	NOUN
ap-4125	8	32	surface	surface	NOUN
ap-4125	8	33	.	.	PUNCT
ap-4125	9	1	the	the	DET
ap-4125	9	2	trajectory	trajectory	NOUN
ap-4125	9	3	of	of	ADP
ap-4125	9	4	the	the	DET
ap-4125	9	5	absolute	absolute	ADJ
ap-4125	9	6	particle	particle	NOUN
ap-4125	9	7	motion	motion	NOUN
ap-4125	9	8	relative	relative	ADJ
ap-4125	9	9	to	to	ADP
ap-4125	9	10	a	a	DET
ap-4125	9	11	fixed	fix	VERB
ap-4125	9	12	coordinate	coordinate	NOUN
ap-4125	9	13	system	system	NOUN
ap-4125	9	14	allows	allow	VERB
ap-4125	9	15	tracing	trace	VERB
ap-4125	9	16	the	the	DET
ap-4125	9	17	rise	rise	NOUN
ap-4125	9	18	height	height	NOUN
ap-4125	9	19	of	of	ADP
ap-4125	9	20	a	a	DET
ap-4125	9	21	particle	particle	NOUN
ap-4125	9	22	after	after	SCONJ
ap-4125	9	23	its	its	PRON
ap-4125	9	24	gets	get	VERB
ap-4125	9	25	onto	onto	ADP
ap-4125	9	26	a	a	DET
ap-4125	9	27	disk	disk	NOUN
ap-4125	9	28	surface	surface	NOUN
ap-4125	9	29	.	.	PUNCT
ap-4125	10	1	differential	differential	ADJ
ap-4125	10	2	equations	equation	NOUN
ap-4125	10	3	of	of	ADP
ap-4125	10	4	particle	particle	NOUN
ap-4125	10	5	motion	motion	NOUN
ap-4125	10	6	have	have	AUX
ap-4125	10	7	been	be	AUX
ap-4125	10	8	developed	develop	VERB
ap-4125	10	9	and	and	CCONJ
ap-4125	10	10	solved	solve	VERB
ap-4125	10	11	using	use	VERB
ap-4125	10	12	numerical	numerical	ADJ
ap-4125	10	13	methods	method	NOUN
ap-4125	10	14	.	.	PUNCT
ap-4125	11	1	a	a	DET
ap-4125	11	2	particle	particle	NOUN
ap-4125	11	3	gets	get	VERB
ap-4125	11	4	onto	onto	ADP
ap-4125	11	5	a	a	DET
ap-4125	11	6	disk	disk	NOUN
ap-4125	11	7	with	with	ADP
ap-4125	11	8	specified	specify	VERB
ap-4125	11	9	initial	initial	ADJ
ap-4125	11	10	criteria	criterion	NOUN
ap-4125	11	11	,	,	PUNCT
ap-4125	11	12	namely	namely	ADV
ap-4125	11	13	the	the	DET
ap-4125	11	14	direction	direction	NOUN
ap-4125	11	15	of	of	ADP
ap-4125	11	16	its	its	PRON
ap-4125	11	17	entering	enter	VERB
ap-4125	11	18	on	on	ADP
ap-4125	11	19	a	a	DET
ap-4125	11	20	disk	disk	NOUN
ap-4125	11	21	and	and	CCONJ
ap-4125	11	22	its	its	PRON
ap-4125	11	23	initial	initial	ADJ
ap-4125	11	24	velocity	velocity	NOUN
ap-4125	11	25	.	.	PUNCT
ap-4125	12	1	two	two	NUM
ap-4125	12	2	models	model	NOUN
ap-4125	12	3	of	of	ADP
ap-4125	12	4	particle	particle	NOUN
ap-4125	12	5	motion	motion	NOUN
ap-4125	12	6	on	on	ADP
ap-4125	12	7	a	a	DET
ap-4125	12	8	disk	disk	NOUN
ap-4125	12	9	have	have	AUX
ap-4125	12	10	been	be	AUX
ap-4125	12	11	considered	consider	VERB
ap-4125	12	12	.	.	PUNCT
ap-4125	13	1	according	accord	VERB
ap-4125	13	2	to	to	ADP
ap-4125	13	3	the	the	DET
ap-4125	13	4	first	first	ADJ
ap-4125	13	5	model	model	NOUN
ap-4125	13	6	,	,	PUNCT
ap-4125	13	7	we	we	PRON
ap-4125	13	8	assume	assume	VERB
ap-4125	13	9	that	that	SCONJ
ap-4125	13	10	further	further	ADJ
ap-4125	13	11	particle	particle	NOUN
ap-4125	13	12	motion	motion	NOUN
ap-4125	13	13	after	after	ADP
ap-4125	13	14	its	its	PRON
ap-4125	13	15	getting	get	VERB
ap-4125	13	16	onto	onto	ADP
ap-4125	13	17	a	a	DET
ap-4125	13	18	disk	disk	NOUN
ap-4125	13	19	surface	surface	NOUN
ap-4125	13	20	is	be	AUX
ap-4125	13	21	performed	perform	VERB
ap-4125	13	22	due	due	ADP
ap-4125	13	23	to	to	ADP
ap-4125	13	24	the	the	DET
ap-4125	13	25	kinetic	kinetic	ADJ
ap-4125	13	26	energy	energy	NOUN
ap-4125	13	27	of	of	ADP
ap-4125	13	28	a	a	DET
ap-4125	13	29	particle	particle	NOUN
ap-4125	13	30	at	at	ADP
ap-4125	13	31	the	the	DET
ap-4125	13	32	moment	moment	NOUN
ap-4125	13	33	of	of	ADP
ap-4125	13	34	its	its	PRON
ap-4125	13	35	getting	get	VERB
ap-4125	13	36	onto	onto	ADP
ap-4125	13	37	a	a	DET
ap-4125	13	38	disk	disk	NOUN
ap-4125	13	39	surface	surface	NOUN
ap-4125	13	40	.	.	PUNCT
ap-4125	14	1	according	accord	VERB
ap-4125	14	2	to	to	ADP
ap-4125	14	3	the	the	DET
ap-4125	14	4	second	second	ADJ
ap-4125	14	5	model	model	NOUN
ap-4125	14	6	,	,	PUNCT
ap-4125	14	7	the	the	DET
ap-4125	14	8	backup	backup	ADJ
ap-4125	14	9	force	force	NOUN
ap-4125	14	10	of	of	ADP
ap-4125	14	11	other	other	ADJ
ap-4125	14	12	particles	particle	NOUN
ap-4125	14	13	,	,	PUNCT
ap-4125	14	14	which	which	PRON
ap-4125	14	15	breaks	break	VERB
ap-4125	14	16	the	the	DET
ap-4125	14	17	force	force	NOUN
ap-4125	14	18	of	of	ADP
ap-4125	14	19	particle	particle	NOUN
ap-4125	14	20	friction	friction	NOUN
ap-4125	14	21	on	on	ADP
ap-4125	14	22	a	a	DET
ap-4125	14	23	surface	surface	NOUN
ap-4125	14	24	,	,	PUNCT
ap-4125	14	25	is	be	AUX
ap-4125	14	26	taken	take	VERB
ap-4125	14	27	into	into	ADP
ap-4125	14	28	account	account	NOUN
ap-4125	14	29	.	.	PUNCT
ap-4125	15	1	differential	differential	ADJ
ap-4125	15	2	equations	equation	NOUN
ap-4125	15	3	of	of	ADP
ap-4125	15	4	particle	particle	NOUN
ap-4125	15	5	motion	motion	NOUN
ap-4125	15	6	have	have	AUX
ap-4125	15	7	been	be	AUX
ap-4125	15	8	developed	develop	VERB
ap-4125	15	9	in	in	ADP
ap-4125	15	10	projections	projection	NOUN
ap-4125	15	11	onto	onto	ADP
ap-4125	15	12	a	a	DET
ap-4125	15	13	fixed	fix	VERB
ap-4125	15	14	solid	solid	ADJ
ap-4125	15	15	system	system	NOUN
ap-4125	15	16	of	of	ADP
ap-4125	15	17	axes	axis	NOUN
ap-4125	15	18	.	.	PUNCT
ap-4125	16	1	thus	thus	ADV
ap-4125	16	2	,	,	PUNCT
ap-4125	16	3	the	the	DET
ap-4125	16	4	system	system	NOUN
ap-4125	16	5	includes	include	VERB
ap-4125	16	6	three	three	NUM
ap-4125	16	7	differential	differential	ADJ
ap-4125	16	8	equations	equation	NOUN
ap-4125	16	9	in	in	ADP
ap-4125	16	10	three	three	NUM
ap-4125	16	11	unknown	unknown	ADJ
ap-4125	16	12	functions	function	NOUN
ap-4125	16	13	.	.	PUNCT
ap-4125	17	1	one	one	NUM
ap-4125	17	2	of	of	ADP
ap-4125	17	3	the	the	DET
ap-4125	17	4	unknown	unknown	ADJ
ap-4125	17	5	functions	function	NOUN
ap-4125	17	6	is	be	AUX
ap-4125	17	7	the	the	DET
ap-4125	17	8	surface	surface	NOUN
ap-4125	17	9	reaction	reaction	NOUN
ap-4125	17	10	force	force	NOUN
ap-4125	17	11	and	and	CCONJ
ap-4125	17	12	the	the	DET
ap-4125	17	13	dependences	dependence	NOUN
ap-4125	17	14	,	,	PUNCT
ap-4125	17	15	which	which	PRON
ap-4125	17	16	describe	describe	VERB
ap-4125	17	17	relative	relative	ADJ
ap-4125	17	18	particle	particle	NOUN
ap-4125	17	19	motion	motion	NOUN
ap-4125	17	20	on	on	ADP
ap-4125	17	21	a	a	DET
ap-4125	17	22	disk	disk	NOUN
ap-4125	17	23	surface	surface	NOUN
ap-4125	17	24	.	.	PUNCT
ap-4125	18	1	for	for	ADP
ap-4125	18	2	the	the	DET
ap-4125	18	3	purpose	purpose	NOUN
ap-4125	18	4	of	of	ADP
ap-4125	18	5	the	the	DET
ap-4125	18	6	quality	quality	NOUN
ap-4125	18	7	of	of	ADP
ap-4125	18	8	soil	soil	NOUN
ap-4125	18	9	loosening	loosen	VERB
ap-4125	18	10	,	,	PUNCT
ap-4125	18	11	we	we	PRON
ap-4125	18	12	conducted	conduct	VERB
ap-4125	18	13	multivariate	multivariate	NOUN
ap-4125	18	14	experiment	experiment	NOUN
ap-4125	18	15	to	to	PART
ap-4125	18	16	determine	determine	VERB
ap-4125	18	17	the	the	DET
ap-4125	18	18	area	area	NOUN
ap-4125	18	19	of	of	ADP
ap-4125	18	20	the	the	DET
ap-4125	18	21	soil	soil	NOUN
ap-4125	18	22	dissipation	dissipation	NOUN
ap-4125	18	23	.	.	PUNCT
ap-4125	19	1	on	on	ADP
ap-4125	19	2	the	the	DET
ap-4125	19	3	basis	basis	NOUN
ap-4125	19	4	of	of	ADP
ap-4125	19	5	field	field	NOUN
ap-4125	19	6	experiments	experiment	NOUN
ap-4125	19	7	,	,	PUNCT
ap-4125	19	8	it	it	PRON
ap-4125	19	9	has	have	AUX
ap-4125	19	10	been	be	AUX
ap-4125	19	11	determined	determine	VERB
ap-4125	19	12	that	that	SCONJ
ap-4125	19	13	the	the	DET
ap-4125	19	14	production	production	NOUN
ap-4125	19	15	process	process	NOUN
ap-4125	19	16	quality	quality	NOUN
ap-4125	19	17	of	of	ADP
ap-4125	19	18	tillage	tillage	NOUN
ap-4125	19	19	machine	machine	NOUN
ap-4125	19	20	meets	meet	VERB
ap-4125	19	21	agrotechnical	agrotechnical	ADJ
ap-4125	19	22	requirements	requirement	NOUN
ap-4125	19	23	.	.	PUNCT
ap-4125	20	1	keywords	keyword	NOUN
ap-4125	20	2	:	:	PUNCT
ap-4125	20	3	soil	soil	NOUN
ap-4125	20	4	-	-	PUNCT
ap-4125	20	5	tilling	till	VERB
ap-4125	20	6	disk	disk	NOUN
ap-4125	20	7	;	;	PUNCT
ap-4125	20	8	rotary	rotary	NOUN
ap-4125	20	9	motion	motion	NOUN
ap-4125	20	10	;	;	PUNCT
ap-4125	20	11	differential	differential	ADJ
ap-4125	20	12	equations	equation	NOUN
ap-4125	20	13	of	of	ADP
ap-4125	20	14	motion	motion	NOUN
ap-4125	20	15	.	.	PUNCT
ap-4125	21	1	1	1	X
ap-4125	21	2	.	.	X
ap-4125	21	3	introduction	introduction	NOUN
ap-4125	21	4	concave	concave	NOUN
ap-4125	21	5	disks	disk	NOUN
ap-4125	21	6	are	be	AUX
ap-4125	21	7	widely	widely	ADV
ap-4125	21	8	spread	spread	VERB
ap-4125	21	9	operating	operating	NOUN
ap-4125	21	10	elements	element	NOUN
ap-4125	21	11	of	of	ADP
ap-4125	21	12	tillage	tillage	NOUN
ap-4125	21	13	machinery	machinery	NOUN
ap-4125	21	14	.	.	PUNCT
ap-4125	22	1	they	they	PRON
ap-4125	22	2	are	be	AUX
ap-4125	22	3	mounted	mount	VERB
ap-4125	22	4	at	at	ADP
ap-4125	22	5	an	an	DET
ap-4125	22	6	incidence	incidence	NOUN
ap-4125	22	7	angle	angle	NOUN
ap-4125	22	8	to	to	ADP
ap-4125	22	9	the	the	DET
ap-4125	22	10	direction	direction	NOUN
ap-4125	22	11	of	of	ADP
ap-4125	22	12	a	a	DET
ap-4125	22	13	machine	machine	NOUN
ap-4125	22	14	movement	movement	NOUN
ap-4125	22	15	,	,	PUNCT
ap-4125	22	16	which	which	PRON
ap-4125	22	17	results	result	VERB
ap-4125	22	18	in	in	ADP
ap-4125	22	19	a	a	DET
ap-4125	22	20	reaction	reaction	NOUN
ap-4125	22	21	force	force	NOUN
ap-4125	22	22	that	that	PRON
ap-4125	22	23	rotates	rotate	VERB
ap-4125	22	24	disks	disk	NOUN
ap-4125	22	25	.	.	PUNCT
ap-4125	23	1	here	here	ADV
ap-4125	23	2	,	,	PUNCT
ap-4125	23	3	soil	soil	NOUN
ap-4125	23	4	particles	particle	NOUN
ap-4125	23	5	slide	slide	VERB
ap-4125	23	6	on	on	ADP
ap-4125	23	7	the	the	DET
ap-4125	23	8	internal	internal	ADJ
ap-4125	23	9	operating	operating	NOUN
ap-4125	23	10	surface	surface	NOUN
ap-4125	23	11	of	of	ADP
ap-4125	23	12	a	a	DET
ap-4125	23	13	disk	disk	NOUN
ap-4125	23	14	,	,	PUNCT
ap-4125	23	15	thus	thus	ADV
ap-4125	23	16	,	,	PUNCT
ap-4125	23	17	perform	perform	VERB
ap-4125	23	18	relative	relative	ADJ
ap-4125	23	19	motion	motion	NOUN
ap-4125	23	20	.	.	PUNCT
ap-4125	24	1	a	a	DET
ap-4125	24	2	grain	grain	NOUN
ap-4125	24	3	or	or	CCONJ
ap-4125	24	4	material	material	NOUN
ap-4125	24	5	particle	particle	NOUN
ap-4125	24	6	performs	perform	VERB
ap-4125	24	7	a	a	DET
ap-4125	24	8	compound	compound	NOUN
ap-4125	24	9	motion	motion	NOUN
ap-4125	24	10	;	;	PUNCT
ap-4125	24	11	its	its	PRON
ap-4125	24	12	part	part	NOUN
ap-4125	24	13	is	be	AUX
ap-4125	24	14	a	a	DET
ap-4125	24	15	relative	relative	ADJ
ap-4125	24	16	trajectory	trajectory	NOUN
ap-4125	24	17	of	of	ADP
ap-4125	24	18	particle	particle	NOUN
ap-4125	24	19	sliding	slide	VERB
ap-4125	24	20	on	on	ADP
ap-4125	24	21	the	the	DET
ap-4125	24	22	internal	internal	ADJ
ap-4125	24	23	surface	surface	NOUN
ap-4125	24	24	of	of	ADP
ap-4125	24	25	a	a	DET
ap-4125	24	26	disk	disk	NOUN
ap-4125	24	27	.	.	PUNCT
ap-4125	25	1	investigation	investigation	NOUN
ap-4125	25	2	of	of	ADP
ap-4125	25	3	such	such	ADJ
ap-4125	25	4	motion	motion	NOUN
ap-4125	25	5	by	by	ADP
ap-4125	25	6	the	the	DET
ap-4125	25	7	example	example	NOUN
ap-4125	25	8	of	of	ADP
ap-4125	25	9	a	a	DET
ap-4125	25	10	separate	separate	ADJ
ap-4125	25	11	particle	particle	NOUN
ap-4125	25	12	allows	allow	VERB
ap-4125	25	13	understanding	understand	VERB
ap-4125	25	14	the	the	DET
ap-4125	25	15	nature	nature	NOUN
ap-4125	25	16	of	of	ADP
ap-4125	25	17	particle	particle	NOUN
ap-4125	25	18	movement	movement	NOUN
ap-4125	25	19	and	and	CCONJ
ap-4125	25	20	determining	determine	VERB
ap-4125	25	21	the	the	DET
ap-4125	25	22	influence	influence	NOUN
ap-4125	25	23	of	of	ADP
ap-4125	25	24	the	the	DET
ap-4125	25	25	parameters	parameter	NOUN
ap-4125	25	26	of	of	ADP
ap-4125	25	27	disk	disk	NOUN
ap-4125	25	28	mounting	mount	VERB
ap-4125	25	29	on	on	ADP
ap-4125	25	30	their	their	PRON
ap-4125	25	31	behaviour	behaviour	NOUN
ap-4125	25	32	.	.	PUNCT
ap-4125	26	1	in	in	ADP
ap-4125	26	2	its	its	PRON
ap-4125	26	3	turn	turn	NOUN
ap-4125	26	4	,	,	PUNCT
ap-4125	26	5	this	this	PRON
ap-4125	26	6	contributes	contribute	VERB
ap-4125	26	7	to	to	ADP
ap-4125	26	8	designing	design	VERB
ap-4125	26	9	tillage	tillage	NOUN
ap-4125	26	10	machinery	machinery	NOUN
ap-4125	26	11	with	with	ADP
ap-4125	26	12	disk	disk	NOUN
ap-4125	26	13	operating	operating	NOUN
ap-4125	26	14	elements	element	NOUN
ap-4125	26	15	.	.	PUNCT
ap-4125	27	1	the	the	DET
ap-4125	27	2	compound	compound	NOUN
ap-4125	27	3	motion	motion	NOUN
ap-4125	27	4	of	of	ADP
ap-4125	27	5	process	process	NOUN
ap-4125	27	6	material	material	NOUN
ap-4125	27	7	particles	particle	NOUN
ap-4125	27	8	on	on	ADP
ap-4125	27	9	running	run	VERB
ap-4125	27	10	surfaces	surface	NOUN
ap-4125	27	11	is	be	AUX
ap-4125	27	12	considered	consider	VERB
ap-4125	27	13	in	in	ADP
ap-4125	27	14	fundamental	fundamental	ADJ
ap-4125	27	15	studies	study	NOUN
ap-4125	27	16	[	[	X
ap-4125	27	17	14	14	NUM
ap-4125	27	18	,	,	PUNCT
ap-4125	27	19	15	15	NUM
ap-4125	27	20	,	,	PUNCT
ap-4125	27	21	20	20	NUM
ap-4125	27	22	]	]	PUNCT
ap-4125	27	23	.	.	PUNCT
ap-4125	28	1	motion	motion	NOUN
ap-4125	28	2	of	of	ADP
ap-4125	28	3	soil	soil	NOUN
ap-4125	28	4	grains	grain	NOUN
ap-4125	28	5	on	on	ADP
ap-4125	28	6	a	a	DET
ap-4125	28	7	plough	plough	NOUN
ap-4125	28	8	mould	mould	NOUN
ap-4125	28	9	board	board	PROPN
ap-4125	28	10	is	be	AUX
ap-4125	28	11	investigated	investigate	VERB
ap-4125	28	12	in	in	ADP
ap-4125	28	13	studies	study	NOUN
ap-4125	28	14	[	[	X
ap-4125	28	15	2	2	NUM
ap-4125	28	16	,	,	PUNCT
ap-4125	28	17	10	10	NUM
ap-4125	28	18	]	]	PUNCT
ap-4125	28	19	.	.	PUNCT
ap-4125	29	1	the	the	DET
ap-4125	29	2	determination	determination	NOUN
ap-4125	29	3	of	of	ADP
ap-4125	29	4	the	the	DET
ap-4125	29	5	trajectory	trajectory	NOUN
ap-4125	29	6	of	of	ADP
ap-4125	29	7	a	a	DET
ap-4125	29	8	particle	particle	NOUN
ap-4125	29	9	,	,	PUNCT
ap-4125	29	10	which	which	PRON
ap-4125	29	11	moves	move	VERB
ap-4125	29	12	on	on	ADP
ap-4125	29	13	a	a	DET
ap-4125	29	14	cylindrical	cylindrical	ADJ
ap-4125	29	15	surface	surface	NOUN
ap-4125	29	16	under	under	ADP
ap-4125	29	17	the	the	DET
ap-4125	29	18	action	action	NOUN
ap-4125	29	19	of	of	ADP
ap-4125	29	20	backup	backup	ADJ
ap-4125	29	21	forces	force	NOUN
ap-4125	29	22	,	,	PUNCT
ap-4125	29	23	is	be	AUX
ap-4125	29	24	considered	consider	VERB
ap-4125	29	25	in	in	ADP
ap-4125	29	26	papers	paper	NOUN
ap-4125	29	27	[	[	X
ap-4125	29	28	11	11	NUM
ap-4125	29	29	,	,	PUNCT
ap-4125	29	30	12	12	NUM
ap-4125	29	31	,	,	PUNCT
ap-4125	29	32	16	16	NUM
ap-4125	29	33	]	]	PUNCT
ap-4125	29	34	.	.	PUNCT
ap-4125	30	1	there	there	PRON
ap-4125	30	2	is	be	VERB
ap-4125	30	3	a	a	DET
ap-4125	30	4	separate	separate	ADJ
ap-4125	30	5	group	group	NOUN
ap-4125	30	6	of	of	ADP
ap-4125	30	7	scientific	scientific	ADJ
ap-4125	30	8	papers	paper	NOUN
ap-4125	30	9	,	,	PUNCT
ap-4125	30	10	which	which	PRON
ap-4125	30	11	investigate	investigate	VERB
ap-4125	30	12	particle	particle	NOUN
ap-4125	30	13	motion	motion	NOUN
ap-4125	30	14	on	on	ADP
ap-4125	30	15	a	a	DET
ap-4125	30	16	rough	rough	ADJ
ap-4125	30	17	surface	surface	NOUN
ap-4125	30	18	under	under	ADP
ap-4125	30	19	the	the	DET
ap-4125	30	20	action	action	NOUN
ap-4125	30	21	of	of	ADP
ap-4125	30	22	a	a	DET
ap-4125	30	23	weight	weight	NOUN
ap-4125	30	24	force	force	NOUN
ap-4125	30	25	[	[	X
ap-4125	30	26	1	1	NUM
ap-4125	30	27	,	,	PUNCT
ap-4125	30	28	3–9	3–9	NUM
ap-4125	30	29	,	,	PUNCT
ap-4125	30	30	13	13	NUM
ap-4125	30	31	,	,	PUNCT
ap-4125	30	32	17–20	17–20	NUM
ap-4125	30	33	]	]	PUNCT
ap-4125	30	34	.	.	PUNCT
ap-4125	31	1	2	2	X
ap-4125	31	2	.	.	X
ap-4125	31	3	material	material	NOUN
ap-4125	31	4	and	and	CCONJ
ap-4125	31	5	method	method	NOUN
ap-4125	31	6	for	for	ADP
ap-4125	31	7	the	the	DET
ap-4125	31	8	purpose	purpose	NOUN
ap-4125	31	9	of	of	ADP
ap-4125	31	10	studying	study	VERB
ap-4125	31	11	patterns	pattern	NOUN
ap-4125	31	12	of	of	ADP
ap-4125	31	13	a	a	DET
ap-4125	31	14	particle	particle	NOUN
ap-4125	31	15	along	along	ADP
ap-4125	31	16	the	the	DET
ap-4125	31	17	inner	inner	ADJ
ap-4125	31	18	surface	surface	NOUN
ap-4125	31	19	of	of	ADP
ap-4125	31	20	a	a	DET
ap-4125	31	21	spherical	spherical	ADJ
ap-4125	31	22	cultivating	cultivating	NOUN
ap-4125	31	23	disk	disk	NOUN
ap-4125	31	24	that	that	PRON
ap-4125	31	25	rotates	rotate	VERB
ap-4125	31	26	around	around	ADP
ap-4125	31	27	a	a	DET
ap-4125	31	28	horizontal	horizontal	ADJ
ap-4125	31	29	axis	axis	NOUN
ap-4125	31	30	,	,	PUNCT
ap-4125	31	31	let	let	VERB
ap-4125	31	32	us	we	PRON
ap-4125	31	33	consider	consider	VERB
ap-4125	31	34	tillage	tillage	NOUN
ap-4125	31	35	machinery	machinery	NOUN
ap-4125	31	36	,	,	PUNCT
ap-4125	31	37	presented	present	VERB
ap-4125	31	38	in	in	ADP
ap-4125	31	39	figure	figure	NOUN
ap-4125	31	40	1	1	NUM
ap-4125	31	41	.	.	PUNCT
ap-4125	31	42	disk	disk	NOUN
ap-4125	31	43	layout	layout	NOUN
ap-4125	31	44	in	in	ADP
ap-4125	31	45	tillage	tillage	NOUN
ap-4125	31	46	machinery	machinery	NOUN
ap-4125	31	47	is	be	AUX
ap-4125	31	48	shown	show	VERB
ap-4125	31	49	in	in	ADP
ap-4125	31	50	figure	figure	NOUN
ap-4125	31	51	2	2	NUM
ap-4125	31	52	,	,	PUNCT
ap-4125	31	53	a	a	PRON
ap-4125	31	54	in	in	ADP
ap-4125	31	55	projections	projection	NOUN
ap-4125	31	56	.	.	PUNCT
ap-4125	32	1	a	a	DET
ap-4125	32	2	disk	disk	NOUN
ap-4125	32	3	is	be	AUX
ap-4125	32	4	represented	represent	VERB
ap-4125	32	5	by	by	ADP
ap-4125	32	6	a	a	DET
ap-4125	32	7	segment	segment	NOUN
ap-4125	32	8	of	of	ADP
ap-4125	32	9	a	a	DET
ap-4125	32	10	sphere	sphere	NOUN
ap-4125	32	11	of	of	ADP
ap-4125	32	12	radius	radius	NOUN
ap-4125	32	13	r	r	NOUN
ap-4125	32	14	,	,	PUNCT
ap-4125	32	15	which	which	DET
ap-4125	32	16	periphery	periphery	NOUN
ap-4125	32	17	is	be	AUX
ap-4125	32	18	a	a	DET
ap-4125	32	19	circle	circle	NOUN
ap-4125	32	20	of	of	ADP
ap-4125	32	21	radius	radius	NOUN
ap-4125	32	22	r	r	NOUN
ap-4125	32	23	and	and	CCONJ
ap-4125	32	24	this	this	DET
ap-4125	32	25	circle	circle	NOUN
ap-4125	32	26	is	be	AUX
ap-4125	32	27	a	a	DET
ap-4125	32	28	cutting	cut	VERB
ap-4125	32	29	edge	edge	NOUN
ap-4125	32	30	,	,	PUNCT
ap-4125	32	31	that	that	PRON
ap-4125	32	32	is	be	AUX
ap-4125	32	33	to	to	PART
ap-4125	32	34	say	say	VERB
ap-4125	32	35	,	,	PUNCT
ap-4125	32	36	a	a	DET
ap-4125	32	37	blade	blade	NOUN
ap-4125	32	38	.	.	PUNCT
ap-4125	33	1	if	if	SCONJ
ap-4125	33	2	a	a	DET
ap-4125	33	3	machine	machine	NOUN
ap-4125	33	4	moves	move	VERB
ap-4125	33	5	in	in	ADP
ap-4125	33	6	y	y	PROPN
ap-4125	33	7	-direction	-direction	NOUN
ap-4125	33	8	,	,	PUNCT
ap-4125	33	9	the	the	DET
ap-4125	33	10	angle	angle	NOUN
ap-4125	33	11	α	α	NOUN
ap-4125	33	12	,	,	PUNCT
ap-4125	33	13	which	which	PRON
ap-4125	33	14	is	be	AUX
ap-4125	33	15	made	make	VERB
ap-4125	33	16	by	by	ADP
ap-4125	33	17	a	a	DET
ap-4125	33	18	blade	blade	NOUN
ap-4125	33	19	surface	surface	NOUN
ap-4125	33	20	and	and	CCONJ
ap-4125	33	21	y	y	PROPN
ap-4125	33	22	-axis	-axis	PROPN
ap-4125	33	23	,	,	PUNCT
ap-4125	33	24	is	be	AUX
ap-4125	33	25	an	an	DET
ap-4125	33	26	incidence	incidence	NOUN
ap-4125	33	27	angle	angle	NOUN
ap-4125	33	28	.	.	PUNCT
ap-4125	34	1	a	a	DET
ap-4125	34	2	disk	disk	NOUN
ap-4125	34	3	penetrates	penetrate	VERB
ap-4125	34	4	into	into	ADP
ap-4125	34	5	the	the	DET
ap-4125	34	6	soil	soil	NOUN
ap-4125	34	7	at	at	ADP
ap-4125	34	8	depth	depth	NOUN
ap-4125	34	9	a.	a.	NOUN
ap-4125	34	10	in	in	ADP
ap-4125	34	11	order	order	NOUN
ap-4125	34	12	to	to	PART
ap-4125	34	13	simplify	simplify	VERB
ap-4125	34	14	calculations	calculation	NOUN
ap-4125	34	15	,	,	PUNCT
ap-4125	34	16	we	we	PRON
ap-4125	34	17	do	do	AUX
ap-4125	34	18	not	not	PART
ap-4125	34	19	rotate	rotate	VERB
ap-4125	34	20	a	a	DET
ap-4125	34	21	disk	disk	NOUN
ap-4125	34	22	through	through	ADP
ap-4125	34	23	angle	angle	NOUN
ap-4125	34	24	α	α	NOUN
ap-4125	34	25	,	,	PUNCT
ap-4125	34	26	as	as	SCONJ
ap-4125	34	27	it	it	PRON
ap-4125	34	28	is	be	AUX
ap-4125	34	29	shown	show	VERB
ap-4125	34	30	in	in	ADP
ap-4125	34	31	201	201	NUM
ap-4125	34	32	http://dx.doi.org/10.14311/ap.2018.58.0201	http://dx.doi.org/10.14311/ap.2018.58.0201	NOUN
ap-4125	34	33	http://ojs.cvut.cz/ojs/index.php/ap	http://ojs.cvut.cz/ojs/index.php/ap	PROPN
ap-4125	34	34	s.	s.	PROPN
ap-4125	34	35	f.	f.	PROPN
ap-4125	34	36	pylypaka	pylypaka	PROPN
ap-4125	34	37	,	,	PUNCT
ap-4125	34	38	m.	m.	PROPN
ap-4125	34	39	e.	e.	PROPN
ap-4125	34	40	klendii	klendii	PROPN
ap-4125	34	41	,	,	PUNCT
ap-4125	34	42	o.	o.	PROPN
ap-4125	34	43	m.	m.	PROPN
ap-4125	34	44	klendii	klendii	PROPN
ap-4125	34	45	acta	acta	PROPN
ap-4125	34	46	polytechnica	polytechnica	PROPN
ap-4125	34	47	the	the	DET
ap-4125	34	48	trajectory	trajectory	NOUN
ap-4125	34	49	of	of	ADP
ap-4125	34	50	a	a	DET
ap-4125	34	51	particle	particle	NOUN
ap-4125	34	52	,	,	PUNCT
ap-4125	34	53	which	which	PRON
ap-4125	34	54	moves	move	VERB
ap-4125	34	55	on	on	ADP
ap-4125	34	56	a	a	DET
ap-4125	34	57	cylindrical	cylindrical	ADJ
ap-4125	34	58	surface	surface	NOUN
ap-4125	34	59	under	under	ADP
ap-4125	34	60	the	the	DET
ap-4125	34	61	action	action	NOUN
ap-4125	34	62	of	of	ADP
ap-4125	34	63	backup	backup	ADJ
ap-4125	34	64	forces	force	NOUN
ap-4125	34	65	,	,	PUNCT
ap-4125	34	66	is	be	AUX
ap-4125	34	67	considered	consider	VERB
ap-4125	34	68	in	in	ADP
ap-4125	34	69	paper	paper	NOUN
ap-4125	34	70	[	[	X
ap-4125	34	71	11	11	NUM
ap-4125	34	72	;	;	PUNCT
ap-4125	34	73	12	12	NUM
ap-4125	34	74	;	;	PUNCT
ap-4125	34	75	16	16	NUM
ap-4125	34	76	]	]	PUNCT
ap-4125	34	77	.	.	PUNCT
ap-4125	35	1	there	there	PRON
ap-4125	35	2	is	be	VERB
ap-4125	35	3	a	a	DET
ap-4125	35	4	separate	separate	ADJ
ap-4125	35	5	group	group	NOUN
ap-4125	35	6	of	of	ADP
ap-4125	35	7	scientific	scientific	ADJ
ap-4125	35	8	papers	paper	NOUN
ap-4125	35	9	,	,	PUNCT
ap-4125	35	10	which	which	PRON
ap-4125	35	11	investigate	investigate	VERB
ap-4125	35	12	particle	particle	NOUN
ap-4125	35	13	motion	motion	NOUN
ap-4125	35	14	on	on	ADP
ap-4125	35	15	a	a	DET
ap-4125	35	16	rough	rough	ADJ
ap-4125	35	17	surface	surface	NOUN
ap-4125	35	18	under	under	ADP
ap-4125	35	19	the	the	DET
ap-4125	35	20	action	action	NOUN
ap-4125	35	21	of	of	ADP
ap-4125	35	22	weight	weight	NOUN
ap-4125	35	23	force	force	NOUN
ap-4125	35	24	[	[	X
ap-4125	35	25	1	1	NUM
ap-4125	35	26	;	;	PUNCT
ap-4125	35	27	3	3	NUM
ap-4125	35	28	-	-	SYM
ap-4125	35	29	9	9	NUM
ap-4125	35	30	;	;	PUNCT
ap-4125	35	31	13	13	NUM
ap-4125	35	32	;	;	PUNCT
ap-4125	35	33	17	17	NUM
ap-4125	35	34	-	-	SYM
ap-4125	35	35	20	20	NUM
ap-4125	35	36	]	]	PUNCT
ap-4125	35	37	.	.	PUNCT
ap-4125	36	1	material	material	NOUN
ap-4125	36	2	and	and	CCONJ
ap-4125	36	3	method	method	NOUN
ap-4125	36	4	.	.	PUNCT
ap-4125	37	1	for	for	ADP
ap-4125	37	2	the	the	DET
ap-4125	37	3	purpose	purpose	NOUN
ap-4125	37	4	studying	study	VERB
ap-4125	37	5	patterns	pattern	NOUN
ap-4125	37	6	of	of	ADP
ap-4125	37	7	a	a	DET
ap-4125	37	8	particle	particle	NOUN
ap-4125	37	9	along	along	ADP
ap-4125	37	10	the	the	DET
ap-4125	37	11	inner	inner	ADJ
ap-4125	37	12	surface	surface	NOUN
ap-4125	37	13	of	of	ADP
ap-4125	37	14	a	a	DET
ap-4125	37	15	spherical	spherical	ADJ
ap-4125	37	16	cultivating	cultivating	NOUN
ap-4125	37	17	disk	disk	NOUN
ap-4125	37	18	that	that	PRON
ap-4125	37	19	rotates	rotate	VERB
ap-4125	37	20	around	around	ADP
ap-4125	37	21	a	a	DET
ap-4125	37	22	horizontal	horizontal	ADJ
ap-4125	37	23	axis	axis	NOUN
ap-4125	37	24	,	,	PUNCT
ap-4125	37	25	let	let	VERB
ap-4125	37	26	us	we	PRON
ap-4125	37	27	consider	consider	VERB
ap-4125	37	28	tillage	tillage	NOUN
ap-4125	37	29	machinery	machinery	NOUN
ap-4125	37	30	,	,	PUNCT
ap-4125	37	31	presented	present	VERB
ap-4125	37	32	in	in	ADP
ap-4125	37	33	fig.1	fig.1	PROPN
ap-4125	37	34	.	.	PUNCT
ap-4125	38	1	fig.1	fig.1	PROPN
ap-4125	38	2	.	.	PUNCT
ap-4125	39	1	overall	overall	ADJ
ap-4125	39	2	view	view	NOUN
ap-4125	39	3	of	of	ADP
ap-4125	39	4	tillage	tillage	NOUN
ap-4125	39	5	machinery	machinery	NOUN
ap-4125	39	6	with	with	ADP
ap-4125	39	7	a	a	DET
ap-4125	39	8	spherical	spherical	ADJ
ap-4125	39	9	cultivating	cultivating	NOUN
ap-4125	39	10	disk	disk	NOUN
ap-4125	39	11	disk	disk	NOUN
ap-4125	39	12	layout	layout	NOUN
ap-4125	39	13	in	in	ADP
ap-4125	39	14	tillage	tillage	NOUN
ap-4125	39	15	machinery	machinery	NOUN
ap-4125	39	16	is	be	AUX
ap-4125	39	17	shown	show	VERB
ap-4125	39	18	in	in	ADP
ap-4125	39	19	fig.2	fig.2	PROPN
ap-4125	39	20	,	,	PUNCT
ap-4125	39	21	a	a	PRON
ap-4125	39	22	in	in	ADP
ap-4125	39	23	projections	projection	NOUN
ap-4125	39	24	.	.	PUNCT
ap-4125	40	1	a	a	DET
ap-4125	40	2	disk	disk	NOUN
ap-4125	40	3	is	be	AUX
ap-4125	40	4	represented	represent	VERB
ap-4125	40	5	by	by	ADP
ap-4125	40	6	a	a	DET
ap-4125	40	7	segment	segment	NOUN
ap-4125	40	8	of	of	ADP
ap-4125	40	9	a	a	DET
ap-4125	40	10	sphere	sphere	NOUN
ap-4125	40	11	of	of	ADP
ap-4125	40	12	radius	radius	NOUN
ap-4125	40	13	r	r	NOUN
ap-4125	40	14	,	,	PUNCT
ap-4125	40	15	which	which	DET
ap-4125	40	16	periphery	periphery	NOUN
ap-4125	40	17	is	be	AUX
ap-4125	40	18	a	a	DET
ap-4125	40	19	circle	circle	NOUN
ap-4125	40	20	of	of	ADP
ap-4125	40	21	radius	radius	NOUN
ap-4125	40	22	r	r	NOUN
ap-4125	40	23	and	and	CCONJ
ap-4125	40	24	this	this	DET
ap-4125	40	25	circle	circle	NOUN
ap-4125	40	26	is	be	AUX
ap-4125	40	27	a	a	DET
ap-4125	40	28	cutting	cut	VERB
ap-4125	40	29	edge	edge	NOUN
ap-4125	40	30	,	,	PUNCT
ap-4125	40	31	that	that	PRON
ap-4125	40	32	is	be	AUX
ap-4125	40	33	to	to	PART
ap-4125	40	34	say	say	VERB
ap-4125	40	35	,	,	PUNCT
ap-4125	40	36	a	a	DET
ap-4125	40	37	blade	blade	NOUN
ap-4125	40	38	.	.	PUNCT
ap-4125	41	1	if	if	SCONJ
ap-4125	41	2	a	a	DET
ap-4125	41	3	machine	machine	NOUN
ap-4125	41	4	moves	move	VERB
ap-4125	41	5	in	in	ADP
ap-4125	41	6	y	y	NOUN
ap-4125	41	7	-	-	PUNCT
ap-4125	41	8	direction	direction	NOUN
ap-4125	41	9	,	,	PUNCT
ap-4125	41	10	the	the	DET
ap-4125	41	11	angle	angle	NOUN
ap-4125	41	12	α	α	NOUN
ap-4125	41	13	,	,	PUNCT
ap-4125	41	14	which	which	PRON
ap-4125	41	15	is	be	AUX
ap-4125	41	16	made	make	VERB
ap-4125	41	17	by	by	ADP
ap-4125	41	18	a	a	DET
ap-4125	41	19	blade	blade	NOUN
ap-4125	41	20	surface	surface	NOUN
ap-4125	41	21	and	and	CCONJ
ap-4125	41	22	y	y	NOUN
ap-4125	41	23	-	-	PUNCT
ap-4125	41	24	axis	axis	NOUN
ap-4125	41	25	,	,	PUNCT
ap-4125	41	26	is	be	AUX
ap-4125	41	27	an	an	DET
ap-4125	41	28	incidence	incidence	NOUN
ap-4125	41	29	angle	angle	NOUN
ap-4125	41	30	.	.	PUNCT
ap-4125	42	1	a	a	DET
ap-4125	42	2	disk	disk	NOUN
ap-4125	42	3	penetrates	penetrate	VERB
ap-4125	42	4	into	into	ADP
ap-4125	42	5	the	the	DET
ap-4125	42	6	soil	soil	NOUN
ap-4125	42	7	at	at	ADP
ap-4125	42	8	depth	depth	NOUN
ap-4125	42	9	а	а	NOUN
ap-4125	42	10	.	.	PUNCT
ap-4125	43	1	in	in	ADP
ap-4125	43	2	order	order	NOUN
ap-4125	43	3	to	to	PART
ap-4125	43	4	simplify	simplify	VERB
ap-4125	43	5	calculations	calculation	NOUN
ap-4125	43	6	,	,	PUNCT
ap-4125	43	7	we	we	PRON
ap-4125	43	8	do	do	AUX
ap-4125	43	9	not	not	PART
ap-4125	43	10	rotate	rotate	VERB
ap-4125	43	11	a	a	DET
ap-4125	43	12	disk	disk	NOUN
ap-4125	43	13	through	through	ADP
ap-4125	43	14	angle	angle	NOUN
ap-4125	43	15	α	α	NOUN
ap-4125	43	16	,	,	PUNCT
ap-4125	43	17	as	as	SCONJ
ap-4125	43	18	it	it	PRON
ap-4125	43	19	is	be	AUX
ap-4125	43	20	shown	show	VERB
ap-4125	43	21	in	in	ADP
ap-4125	43	22	fig.2,a	fig.2,a	PROPN
ap-4125	43	23	,	,	PUNCT
ap-4125	43	24	but	but	CCONJ
ap-4125	43	25	we	we	PRON
ap-4125	43	26	assume	assume	VERB
ap-4125	43	27	that	that	SCONJ
ap-4125	43	28	the	the	DET
ap-4125	43	29	soil	soil	NOUN
ap-4125	43	30	approaches	approach	VERB
ap-4125	43	31	a	a	DET
ap-4125	43	32	disk	disk	NOUN
ap-4125	43	33	at	at	ADP
ap-4125	43	34	velocity	velocity	NOUN
ap-4125	43	35	vm	vm	PROPN
ap-4125	43	36	at	at	ADP
ap-4125	43	37	angle	angle	PROPN
ap-4125	43	38	α	α	PROPN
ap-4125	43	39	,	,	PUNCT
ap-4125	43	40	where	where	SCONJ
ap-4125	43	41	vm	vm	PROPN
ap-4125	43	42	–	–	PUNCT
ap-4125	43	43	velocity	velocity	NOUN
ap-4125	43	44	of	of	ADP
ap-4125	43	45	machine	machine	NOUN
ap-4125	43	46	movement	movement	NOUN
ap-4125	43	47	(	(	PUNCT
ap-4125	43	48	fig	fig	NOUN
ap-4125	43	49	.	.	PUNCT
ap-4125	44	1	2,b	2,b	NUM
ap-4125	44	2	)	)	PUNCT
ap-4125	44	3	.	.	PUNCT
ap-4125	45	1	such	such	DET
ap-4125	45	2	a	a	DET
ap-4125	45	3	model	model	NOUN
ap-4125	45	4	enables	enable	VERB
ap-4125	45	5	simplified	simplify	VERB
ap-4125	45	6	description	description	NOUN
ap-4125	45	7	of	of	ADP
ap-4125	45	8	a	a	DET
ap-4125	45	9	disk	disk	NOUN
ap-4125	45	10	surface	surface	NOUN
ap-4125	45	11	without	without	ADP
ap-4125	45	12	its	its	PRON
ap-4125	45	13	rotation	rotation	NOUN
ap-4125	45	14	trough	trough	NOUN
ap-4125	45	15	angle	angle	PROPN
ap-4125	45	16	α	α	NOUN
ap-4125	45	17	,	,	PUNCT
ap-4125	45	18	by	by	ADP
ap-4125	45	19	replacing	replace	VERB
ap-4125	45	20	disk	disk	NOUN
ap-4125	45	21	rotation	rotation	NOUN
ap-4125	45	22	to	to	ADP
ap-4125	45	23	rotation	rotation	NOUN
ap-4125	45	24	of	of	ADP
ap-4125	45	25	a	a	DET
ap-4125	45	26	velocity	velocity	NOUN
ap-4125	45	27	vector	vector	NOUN
ap-4125	45	28	of	of	ADP
ap-4125	45	29	a	a	DET
ap-4125	45	30	machine	machine	NOUN
ap-4125	45	31	.	.	PUNCT
ap-4125	46	1	fig.2	fig.2	PROPN
ap-4125	46	2	.	.	PUNCT
ap-4125	47	1	illustrations	illustration	NOUN
ap-4125	47	2	of	of	ADP
ap-4125	47	3	disk	disk	NOUN
ap-4125	47	4	layout	layout	NOUN
ap-4125	47	5	in	in	ADP
ap-4125	47	6	coordinates	coordinate	NOUN
ap-4125	47	7	the	the	DET
ap-4125	47	8	value	value	NOUN
ap-4125	47	9	of	of	ADP
ap-4125	47	10	angular	angular	ADJ
ap-4125	47	11	velocity	velocity	NOUN
ap-4125	47	12	of	of	ADP
ap-4125	47	13	disk	disk	NOUN
ap-4125	47	14	rotation	rotation	NOUN
ap-4125	47	15	depends	depend	VERB
ap-4125	47	16	on	on	ADP
ap-4125	47	17	an	an	DET
ap-4125	47	18	incidence	incidence	NOUN
ap-4125	47	19	angle	angle	NOUN
ap-4125	47	20	α	α	NOUN
ap-4125	47	21	.	.	PUNCT
ap-4125	48	1	at	at	ADP
ap-4125	48	2	α=900	α=900	ADJ
ap-4125	48	3	rotation	rotation	NOUN
ap-4125	48	4	is	be	AUX
ap-4125	48	5	not	not	PART
ap-4125	48	6	possible	possible	ADJ
ap-4125	48	7	.	.	PUNCT
ap-4125	49	1	with	with	ADP
ap-4125	49	2	the	the	DET
ap-4125	49	3	decrease	decrease	NOUN
ap-4125	49	4	of	of	ADP
ap-4125	49	5	angle	angle	NOUN
ap-4125	49	6	α	α	PROPN
ap-4125	49	7	,	,	PUNCT
ap-4125	49	8	angular	angular	ADJ
ap-4125	49	9	velocity	velocity	NOUN
ap-4125	49	10	of	of	ADP
ap-4125	49	11	disk	disk	NOUN
ap-4125	49	12	rotation	rotation	NOUN
ap-4125	49	13	increases	increase	NOUN
ap-4125	49	14	and	and	CCONJ
ap-4125	49	15	figure	figure	VERB
ap-4125	49	16	1	1	NUM
ap-4125	49	17	.	.	PUNCT
ap-4125	49	18	overall	overall	ADJ
ap-4125	49	19	view	view	NOUN
ap-4125	49	20	of	of	ADP
ap-4125	49	21	tillage	tillage	NOUN
ap-4125	49	22	machinery	machinery	NOUN
ap-4125	49	23	with	with	ADP
ap-4125	49	24	a	a	DET
ap-4125	49	25	spherical	spherical	ADJ
ap-4125	49	26	cultivating	cultivate	VERB
ap-4125	49	27	disk	disk	NOUN
ap-4125	49	28	.	.	PUNCT
ap-4125	50	1	the	the	DET
ap-4125	50	2	trajectory	trajectory	NOUN
ap-4125	50	3	of	of	ADP
ap-4125	50	4	a	a	DET
ap-4125	50	5	particle	particle	NOUN
ap-4125	50	6	,	,	PUNCT
ap-4125	50	7	which	which	PRON
ap-4125	50	8	moves	move	VERB
ap-4125	50	9	on	on	ADP
ap-4125	50	10	a	a	DET
ap-4125	50	11	cylindrical	cylindrical	ADJ
ap-4125	50	12	surface	surface	NOUN
ap-4125	50	13	under	under	ADP
ap-4125	50	14	the	the	DET
ap-4125	50	15	action	action	NOUN
ap-4125	50	16	of	of	ADP
ap-4125	50	17	backup	backup	ADJ
ap-4125	50	18	forces	force	NOUN
ap-4125	50	19	,	,	PUNCT
ap-4125	50	20	is	be	AUX
ap-4125	50	21	considered	consider	VERB
ap-4125	50	22	in	in	ADP
ap-4125	50	23	paper	paper	NOUN
ap-4125	50	24	[	[	X
ap-4125	50	25	11	11	NUM
ap-4125	50	26	;	;	PUNCT
ap-4125	50	27	12	12	NUM
ap-4125	50	28	;	;	PUNCT
ap-4125	50	29	16	16	NUM
ap-4125	50	30	]	]	PUNCT
ap-4125	50	31	.	.	PUNCT
ap-4125	51	1	there	there	PRON
ap-4125	51	2	is	be	VERB
ap-4125	51	3	a	a	DET
ap-4125	51	4	separate	separate	ADJ
ap-4125	51	5	group	group	NOUN
ap-4125	51	6	of	of	ADP
ap-4125	51	7	scientific	scientific	ADJ
ap-4125	51	8	papers	paper	NOUN
ap-4125	51	9	,	,	PUNCT
ap-4125	51	10	which	which	PRON
ap-4125	51	11	investigate	investigate	VERB
ap-4125	51	12	particle	particle	NOUN
ap-4125	51	13	motion	motion	NOUN
ap-4125	51	14	on	on	ADP
ap-4125	51	15	a	a	DET
ap-4125	51	16	rough	rough	ADJ
ap-4125	51	17	surface	surface	NOUN
ap-4125	51	18	under	under	ADP
ap-4125	51	19	the	the	DET
ap-4125	51	20	action	action	NOUN
ap-4125	51	21	of	of	ADP
ap-4125	51	22	weight	weight	NOUN
ap-4125	51	23	force	force	NOUN
ap-4125	51	24	[	[	X
ap-4125	51	25	1	1	NUM
ap-4125	51	26	;	;	PUNCT
ap-4125	51	27	3	3	NUM
ap-4125	51	28	-	-	SYM
ap-4125	51	29	9	9	NUM
ap-4125	51	30	;	;	PUNCT
ap-4125	51	31	13	13	NUM
ap-4125	51	32	;	;	PUNCT
ap-4125	51	33	17	17	NUM
ap-4125	51	34	-	-	SYM
ap-4125	51	35	20	20	NUM
ap-4125	51	36	]	]	PUNCT
ap-4125	51	37	.	.	PUNCT
ap-4125	52	1	material	material	NOUN
ap-4125	52	2	and	and	CCONJ
ap-4125	52	3	method	method	NOUN
ap-4125	52	4	.	.	PUNCT
ap-4125	53	1	for	for	ADP
ap-4125	53	2	the	the	DET
ap-4125	53	3	purpose	purpose	NOUN
ap-4125	53	4	studying	study	VERB
ap-4125	53	5	patterns	pattern	NOUN
ap-4125	53	6	of	of	ADP
ap-4125	53	7	a	a	DET
ap-4125	53	8	particle	particle	NOUN
ap-4125	53	9	along	along	ADP
ap-4125	53	10	the	the	DET
ap-4125	53	11	inner	inner	ADJ
ap-4125	53	12	surface	surface	NOUN
ap-4125	53	13	of	of	ADP
ap-4125	53	14	a	a	DET
ap-4125	53	15	spherical	spherical	ADJ
ap-4125	53	16	cultivating	cultivating	NOUN
ap-4125	53	17	disk	disk	NOUN
ap-4125	53	18	that	that	PRON
ap-4125	53	19	rotates	rotate	VERB
ap-4125	53	20	around	around	ADP
ap-4125	53	21	a	a	DET
ap-4125	53	22	horizontal	horizontal	ADJ
ap-4125	53	23	axis	axis	NOUN
ap-4125	53	24	,	,	PUNCT
ap-4125	53	25	let	let	VERB
ap-4125	53	26	us	we	PRON
ap-4125	53	27	consider	consider	VERB
ap-4125	53	28	tillage	tillage	NOUN
ap-4125	53	29	machinery	machinery	NOUN
ap-4125	53	30	,	,	PUNCT
ap-4125	53	31	presented	present	VERB
ap-4125	53	32	in	in	ADP
ap-4125	53	33	fig.1	fig.1	PROPN
ap-4125	53	34	.	.	PUNCT
ap-4125	54	1	fig.1	fig.1	PROPN
ap-4125	54	2	.	.	PUNCT
ap-4125	55	1	overall	overall	ADJ
ap-4125	55	2	view	view	NOUN
ap-4125	55	3	of	of	ADP
ap-4125	55	4	tillage	tillage	NOUN
ap-4125	55	5	machinery	machinery	NOUN
ap-4125	55	6	with	with	ADP
ap-4125	55	7	a	a	DET
ap-4125	55	8	spherical	spherical	ADJ
ap-4125	55	9	cultivating	cultivating	NOUN
ap-4125	55	10	disk	disk	NOUN
ap-4125	55	11	disk	disk	NOUN
ap-4125	55	12	layout	layout	NOUN
ap-4125	55	13	in	in	ADP
ap-4125	55	14	tillage	tillage	NOUN
ap-4125	55	15	machinery	machinery	NOUN
ap-4125	55	16	is	be	AUX
ap-4125	55	17	shown	show	VERB
ap-4125	55	18	in	in	ADP
ap-4125	55	19	fig.2	fig.2	PROPN
ap-4125	55	20	,	,	PUNCT
ap-4125	55	21	a	a	PRON
ap-4125	55	22	in	in	ADP
ap-4125	55	23	projections	projection	NOUN
ap-4125	55	24	.	.	PUNCT
ap-4125	56	1	a	a	DET
ap-4125	56	2	disk	disk	NOUN
ap-4125	56	3	is	be	AUX
ap-4125	56	4	represented	represent	VERB
ap-4125	56	5	by	by	ADP
ap-4125	56	6	a	a	DET
ap-4125	56	7	segment	segment	NOUN
ap-4125	56	8	of	of	ADP
ap-4125	56	9	a	a	DET
ap-4125	56	10	sphere	sphere	NOUN
ap-4125	56	11	of	of	ADP
ap-4125	56	12	radius	radius	NOUN
ap-4125	56	13	r	r	NOUN
ap-4125	56	14	,	,	PUNCT
ap-4125	56	15	which	which	DET
ap-4125	56	16	periphery	periphery	NOUN
ap-4125	56	17	is	be	AUX
ap-4125	56	18	a	a	DET
ap-4125	56	19	circle	circle	NOUN
ap-4125	56	20	of	of	ADP
ap-4125	56	21	radius	radius	NOUN
ap-4125	56	22	r	r	NOUN
ap-4125	56	23	and	and	CCONJ
ap-4125	56	24	this	this	DET
ap-4125	56	25	circle	circle	NOUN
ap-4125	56	26	is	be	AUX
ap-4125	56	27	a	a	DET
ap-4125	56	28	cutting	cut	VERB
ap-4125	56	29	edge	edge	NOUN
ap-4125	56	30	,	,	PUNCT
ap-4125	56	31	that	that	PRON
ap-4125	56	32	is	be	AUX
ap-4125	56	33	to	to	PART
ap-4125	56	34	say	say	VERB
ap-4125	56	35	,	,	PUNCT
ap-4125	56	36	a	a	DET
ap-4125	56	37	blade	blade	NOUN
ap-4125	56	38	.	.	PUNCT
ap-4125	57	1	if	if	SCONJ
ap-4125	57	2	a	a	DET
ap-4125	57	3	machine	machine	NOUN
ap-4125	57	4	moves	move	VERB
ap-4125	57	5	in	in	ADP
ap-4125	57	6	y	y	NOUN
ap-4125	57	7	-	-	PUNCT
ap-4125	57	8	direction	direction	NOUN
ap-4125	57	9	,	,	PUNCT
ap-4125	57	10	the	the	DET
ap-4125	57	11	angle	angle	NOUN
ap-4125	57	12	α	α	NOUN
ap-4125	57	13	,	,	PUNCT
ap-4125	57	14	which	which	PRON
ap-4125	57	15	is	be	AUX
ap-4125	57	16	made	make	VERB
ap-4125	57	17	by	by	ADP
ap-4125	57	18	a	a	DET
ap-4125	57	19	blade	blade	NOUN
ap-4125	57	20	surface	surface	NOUN
ap-4125	57	21	and	and	CCONJ
ap-4125	57	22	y	y	NOUN
ap-4125	57	23	-	-	PUNCT
ap-4125	57	24	axis	axis	NOUN
ap-4125	57	25	,	,	PUNCT
ap-4125	57	26	is	be	AUX
ap-4125	57	27	an	an	DET
ap-4125	57	28	incidence	incidence	NOUN
ap-4125	57	29	angle	angle	NOUN
ap-4125	57	30	.	.	PUNCT
ap-4125	58	1	a	a	DET
ap-4125	58	2	disk	disk	NOUN
ap-4125	58	3	penetrates	penetrate	VERB
ap-4125	58	4	into	into	ADP
ap-4125	58	5	the	the	DET
ap-4125	58	6	soil	soil	NOUN
ap-4125	58	7	at	at	ADP
ap-4125	58	8	depth	depth	NOUN
ap-4125	58	9	а	а	NOUN
ap-4125	58	10	.	.	PUNCT
ap-4125	59	1	in	in	ADP
ap-4125	59	2	order	order	NOUN
ap-4125	59	3	to	to	PART
ap-4125	59	4	simplify	simplify	VERB
ap-4125	59	5	calculations	calculation	NOUN
ap-4125	59	6	,	,	PUNCT
ap-4125	59	7	we	we	PRON
ap-4125	59	8	do	do	AUX
ap-4125	59	9	not	not	PART
ap-4125	59	10	rotate	rotate	VERB
ap-4125	59	11	a	a	DET
ap-4125	59	12	disk	disk	NOUN
ap-4125	59	13	through	through	ADP
ap-4125	59	14	angle	angle	NOUN
ap-4125	59	15	α	α	NOUN
ap-4125	59	16	,	,	PUNCT
ap-4125	59	17	as	as	SCONJ
ap-4125	59	18	it	it	PRON
ap-4125	59	19	is	be	AUX
ap-4125	59	20	shown	show	VERB
ap-4125	59	21	in	in	ADP
ap-4125	59	22	fig.2,a	fig.2,a	PROPN
ap-4125	59	23	,	,	PUNCT
ap-4125	59	24	but	but	CCONJ
ap-4125	59	25	we	we	PRON
ap-4125	59	26	assume	assume	VERB
ap-4125	59	27	that	that	SCONJ
ap-4125	59	28	the	the	DET
ap-4125	59	29	soil	soil	NOUN
ap-4125	59	30	approaches	approach	VERB
ap-4125	59	31	a	a	DET
ap-4125	59	32	disk	disk	NOUN
ap-4125	59	33	at	at	ADP
ap-4125	59	34	velocity	velocity	NOUN
ap-4125	59	35	vm	vm	PROPN
ap-4125	59	36	at	at	ADP
ap-4125	59	37	angle	angle	PROPN
ap-4125	59	38	α	α	PROPN
ap-4125	59	39	,	,	PUNCT
ap-4125	59	40	where	where	SCONJ
ap-4125	59	41	vm	vm	PROPN
ap-4125	59	42	–	–	PUNCT
ap-4125	59	43	velocity	velocity	NOUN
ap-4125	59	44	of	of	ADP
ap-4125	59	45	machine	machine	NOUN
ap-4125	59	46	movement	movement	NOUN
ap-4125	59	47	(	(	PUNCT
ap-4125	59	48	fig	fig	NOUN
ap-4125	59	49	.	.	PUNCT
ap-4125	60	1	2,b	2,b	NUM
ap-4125	60	2	)	)	PUNCT
ap-4125	60	3	.	.	PUNCT
ap-4125	61	1	such	such	DET
ap-4125	61	2	a	a	DET
ap-4125	61	3	model	model	NOUN
ap-4125	61	4	enables	enable	VERB
ap-4125	61	5	simplified	simplify	VERB
ap-4125	61	6	description	description	NOUN
ap-4125	61	7	of	of	ADP
ap-4125	61	8	a	a	DET
ap-4125	61	9	disk	disk	NOUN
ap-4125	61	10	surface	surface	NOUN
ap-4125	61	11	without	without	ADP
ap-4125	61	12	its	its	PRON
ap-4125	61	13	rotation	rotation	NOUN
ap-4125	61	14	trough	trough	NOUN
ap-4125	61	15	angle	angle	PROPN
ap-4125	61	16	α	α	NOUN
ap-4125	61	17	,	,	PUNCT
ap-4125	61	18	by	by	ADP
ap-4125	61	19	replacing	replace	VERB
ap-4125	61	20	disk	disk	NOUN
ap-4125	61	21	rotation	rotation	NOUN
ap-4125	61	22	to	to	ADP
ap-4125	61	23	rotation	rotation	NOUN
ap-4125	61	24	of	of	ADP
ap-4125	61	25	a	a	DET
ap-4125	61	26	velocity	velocity	NOUN
ap-4125	61	27	vector	vector	NOUN
ap-4125	61	28	of	of	ADP
ap-4125	61	29	a	a	DET
ap-4125	61	30	machine	machine	NOUN
ap-4125	61	31	.	.	PUNCT
ap-4125	62	1	fig.2	fig.2	PROPN
ap-4125	62	2	.	.	PUNCT
ap-4125	63	1	illustrations	illustration	NOUN
ap-4125	63	2	of	of	ADP
ap-4125	63	3	disk	disk	NOUN
ap-4125	63	4	layout	layout	NOUN
ap-4125	63	5	in	in	ADP
ap-4125	63	6	coordinates	coordinate	NOUN
ap-4125	63	7	the	the	DET
ap-4125	63	8	value	value	NOUN
ap-4125	63	9	of	of	ADP
ap-4125	63	10	angular	angular	ADJ
ap-4125	63	11	velocity	velocity	NOUN
ap-4125	63	12	of	of	ADP
ap-4125	63	13	disk	disk	NOUN
ap-4125	63	14	rotation	rotation	NOUN
ap-4125	63	15	depends	depend	VERB
ap-4125	63	16	on	on	ADP
ap-4125	63	17	an	an	DET
ap-4125	63	18	incidence	incidence	NOUN
ap-4125	63	19	angle	angle	NOUN
ap-4125	63	20	α	α	NOUN
ap-4125	63	21	.	.	PUNCT
ap-4125	64	1	at	at	ADP
ap-4125	64	2	α=900	α=900	ADJ
ap-4125	64	3	rotation	rotation	NOUN
ap-4125	64	4	is	be	AUX
ap-4125	64	5	not	not	PART
ap-4125	64	6	possible	possible	ADJ
ap-4125	64	7	.	.	PUNCT
ap-4125	65	1	with	with	ADP
ap-4125	65	2	the	the	DET
ap-4125	65	3	decrease	decrease	NOUN
ap-4125	65	4	of	of	ADP
ap-4125	65	5	angle	angle	NOUN
ap-4125	65	6	α	α	PROPN
ap-4125	65	7	,	,	PUNCT
ap-4125	65	8	angular	angular	ADJ
ap-4125	65	9	velocity	velocity	NOUN
ap-4125	65	10	of	of	ADP
ap-4125	65	11	disk	disk	NOUN
ap-4125	65	12	rotation	rotation	NOUN
ap-4125	65	13	increases	increase	NOUN
ap-4125	65	14	and	and	CCONJ
ap-4125	65	15	figure	figure	VERB
ap-4125	65	16	2	2	NUM
ap-4125	65	17	.	.	PUNCT
ap-4125	65	18	illustrations	illustration	NOUN
ap-4125	65	19	of	of	ADP
ap-4125	65	20	disk	disk	NOUN
ap-4125	65	21	layout	layout	NOUN
ap-4125	65	22	in	in	ADP
ap-4125	65	23	coordinates	coordinate	NOUN
ap-4125	65	24	figure	figure	VERB
ap-4125	65	25	2a	2a	NUM
ap-4125	65	26	,	,	PUNCT
ap-4125	65	27	but	but	CCONJ
ap-4125	65	28	we	we	PRON
ap-4125	65	29	assume	assume	VERB
ap-4125	65	30	that	that	SCONJ
ap-4125	65	31	the	the	DET
ap-4125	65	32	soil	soil	NOUN
ap-4125	65	33	approaches	approach	VERB
ap-4125	65	34	a	a	DET
ap-4125	65	35	disk	disk	NOUN
ap-4125	65	36	at	at	ADP
ap-4125	65	37	a	a	DET
ap-4125	65	38	velocity	velocity	NOUN
ap-4125	65	39	vm	vm	NOUN
ap-4125	65	40	at	at	ADP
ap-4125	65	41	an	an	DET
ap-4125	65	42	angle	angle	NOUN
ap-4125	65	43	α	α	NOUN
ap-4125	65	44	,	,	PUNCT
ap-4125	65	45	where	where	SCONJ
ap-4125	65	46	vm	vm	PROPN
ap-4125	65	47	—	—	PUNCT
ap-4125	65	48	the	the	DET
ap-4125	65	49	velocity	velocity	NOUN
ap-4125	65	50	of	of	ADP
ap-4125	65	51	machine	machine	NOUN
ap-4125	65	52	movement	movement	NOUN
ap-4125	65	53	(	(	PUNCT
ap-4125	65	54	figure	figure	NOUN
ap-4125	65	55	2b	2b	NOUN
ap-4125	65	56	)	)	PUNCT
ap-4125	65	57	.	.	PUNCT
ap-4125	66	1	such	such	ADJ
ap-4125	66	2	model	model	NOUN
ap-4125	66	3	enables	enable	VERB
ap-4125	66	4	a	a	DET
ap-4125	66	5	simplified	simplified	ADJ
ap-4125	66	6	description	description	NOUN
ap-4125	66	7	of	of	ADP
ap-4125	66	8	a	a	DET
ap-4125	66	9	disk	disk	NOUN
ap-4125	66	10	surface	surface	NOUN
ap-4125	66	11	without	without	ADP
ap-4125	66	12	its	its	PRON
ap-4125	66	13	rotation	rotation	NOUN
ap-4125	66	14	trough	trough	NOUN
ap-4125	66	15	an	an	DET
ap-4125	66	16	angle	angle	NOUN
ap-4125	66	17	α	α	NOUN
ap-4125	66	18	,	,	PUNCT
ap-4125	66	19	by	by	ADP
ap-4125	66	20	replacing	replace	VERB
ap-4125	66	21	the	the	DET
ap-4125	66	22	disk	disk	NOUN
ap-4125	66	23	rotation	rotation	NOUN
ap-4125	66	24	to	to	ADP
ap-4125	66	25	a	a	DET
ap-4125	66	26	rotation	rotation	NOUN
ap-4125	66	27	of	of	ADP
ap-4125	66	28	a	a	DET
ap-4125	66	29	velocity	velocity	NOUN
ap-4125	66	30	vector	vector	NOUN
ap-4125	66	31	of	of	ADP
ap-4125	66	32	a	a	DET
ap-4125	66	33	machine	machine	NOUN
ap-4125	66	34	.	.	PUNCT
ap-4125	67	1	the	the	DET
ap-4125	67	2	value	value	NOUN
ap-4125	67	3	of	of	ADP
ap-4125	67	4	an	an	DET
ap-4125	67	5	angular	angular	ADJ
ap-4125	67	6	velocity	velocity	NOUN
ap-4125	67	7	of	of	ADP
ap-4125	67	8	a	a	DET
ap-4125	67	9	disk	disk	NOUN
ap-4125	67	10	rotation	rotation	NOUN
ap-4125	67	11	depends	depend	VERB
ap-4125	67	12	on	on	ADP
ap-4125	67	13	an	an	DET
ap-4125	67	14	incidence	incidence	NOUN
ap-4125	67	15	angle	angle	NOUN
ap-4125	67	16	α	α	NOUN
ap-4125	67	17	.	.	PUNCT
ap-4125	68	1	at	at	ADP
ap-4125	68	2	α	α	NOUN
ap-4125	68	3	=	=	SYM
ap-4125	68	4	90	90	NUM
ap-4125	68	5	°	°	NUM
ap-4125	68	6	,	,	PUNCT
ap-4125	68	7	the	the	DET
ap-4125	68	8	rotation	rotation	NOUN
ap-4125	68	9	is	be	AUX
ap-4125	68	10	not	not	PART
ap-4125	68	11	possible	possible	ADJ
ap-4125	68	12	.	.	PUNCT
ap-4125	69	1	with	with	ADP
ap-4125	69	2	the	the	DET
ap-4125	69	3	decrease	decrease	NOUN
ap-4125	69	4	of	of	ADP
ap-4125	69	5	the	the	DET
ap-4125	69	6	angle	angle	NOUN
ap-4125	69	7	α	α	NOUN
ap-4125	69	8	,	,	PUNCT
ap-4125	69	9	the	the	DET
ap-4125	69	10	angular	angular	ADJ
ap-4125	69	11	velocity	velocity	NOUN
ap-4125	69	12	of	of	ADP
ap-4125	69	13	disk	disk	NOUN
ap-4125	69	14	rotation	rotation	NOUN
ap-4125	69	15	increases	increase	NOUN
ap-4125	69	16	and	and	CCONJ
ap-4125	69	17	at	at	ADP
ap-4125	69	18	α	α	NOUN
ap-4125	69	19	=	=	SYM
ap-4125	69	20	0	0	NUM
ap-4125	69	21	°	°	NUM
ap-4125	69	22	,	,	PUNCT
ap-4125	69	23	it	it	PRON
ap-4125	69	24	is	be	AUX
ap-4125	69	25	maximum	maximum	ADJ
ap-4125	69	26	.	.	PUNCT
ap-4125	70	1	in	in	ADP
ap-4125	70	2	order	order	NOUN
ap-4125	70	3	to	to	PART
ap-4125	70	4	determine	determine	VERB
ap-4125	70	5	its	its	PRON
ap-4125	70	6	value	value	NOUN
ap-4125	70	7	,	,	PUNCT
ap-4125	70	8	let	let	VERB
ap-4125	70	9	us	we	PRON
ap-4125	70	10	resolve	resolve	VERB
ap-4125	70	11	the	the	DET
ap-4125	70	12	machine	machine	NOUN
ap-4125	70	13	velocity	velocity	NOUN
ap-4125	70	14	vector	vector	PROPN
ap-4125	70	15	vm	vm	PROPN
ap-4125	70	16	into	into	ADP
ap-4125	70	17	two	two	NUM
ap-4125	70	18	components	component	NOUN
ap-4125	70	19	:	:	PUNCT
ap-4125	70	20	longitudinal	longitudinal	ADJ
ap-4125	70	21	vτ	vτ	NOUN
ap-4125	70	22	and	and	CCONJ
ap-4125	70	23	transverse	transverse	NOUN
ap-4125	70	24	vt	vt	PROPN
ap-4125	70	25	(	(	PUNCT
ap-4125	70	26	figure	figure	NOUN
ap-4125	70	27	2b	2b	NOUN
ap-4125	70	28	)	)	PUNCT
ap-4125	70	29	.	.	PUNCT
ap-4125	71	1	the	the	DET
ap-4125	71	2	value	value	NOUN
ap-4125	71	3	of	of	ADP
ap-4125	71	4	the	the	DET
ap-4125	71	5	components	component	NOUN
ap-4125	71	6	can	can	AUX
ap-4125	71	7	be	be	AUX
ap-4125	71	8	found	find	VERB
ap-4125	71	9	from	from	ADP
ap-4125	71	10	angle	angle	NOUN
ap-4125	71	11	α	α	PROPN
ap-4125	71	12	as	as	ADP
ap-4125	71	13	vτ	vτ	PROPN
ap-4125	71	14	=	=	PROPN
ap-4125	71	15	vm	vm	PROPN
ap-4125	71	16	cosα	cosα	PROPN
ap-4125	71	17	,	,	PUNCT
ap-4125	71	18	vt	vt	PROPN
ap-4125	71	19	=	=	PROPN
ap-4125	71	20	vm	vm	PROPN
ap-4125	71	21	sinα	sinα	PROPN
ap-4125	71	22	.	.	PUNCT
ap-4125	72	1	a	a	DET
ap-4125	72	2	particle	particle	NOUN
ap-4125	72	3	gets	get	VERB
ap-4125	72	4	onto	onto	ADP
ap-4125	72	5	a	a	DET
ap-4125	72	6	disk	disk	NOUN
ap-4125	72	7	surface	surface	NOUN
ap-4125	72	8	having	have	VERB
ap-4125	72	9	transverse	transverse	NOUN
ap-4125	72	10	velocity	velocity	NOUN
ap-4125	72	11	vt	vt	PROPN
ap-4125	72	12	,	,	PUNCT
ap-4125	72	13	and	and	CCONJ
ap-4125	72	14	an	an	DET
ap-4125	72	15	angular	angular	ADJ
ap-4125	72	16	velocity	velocity	NOUN
ap-4125	72	17	of	of	ADP
ap-4125	72	18	a	a	DET
ap-4125	72	19	disk	disk	NOUN
ap-4125	72	20	rotation	rotation	NOUN
ap-4125	72	21	depending	depend	VERB
ap-4125	72	22	on	on	ADP
ap-4125	72	23	the	the	DET
ap-4125	72	24	longitudinal	longitudinal	ADJ
ap-4125	72	25	velocity	velocity	NOUN
ap-4125	72	26	vτ	vτ	NOUN
ap-4125	72	27	.	.	PUNCT
ap-4125	73	1	for	for	ADP
ap-4125	73	2	an	an	DET
ap-4125	73	3	effective	effective	ADJ
ap-4125	73	4	operation	operation	NOUN
ap-4125	73	5	of	of	ADP
ap-4125	73	6	a	a	DET
ap-4125	73	7	machine	machine	NOUN
ap-4125	73	8	,	,	PUNCT
ap-4125	73	9	the	the	DET
ap-4125	73	10	angle	angle	NOUN
ap-4125	73	11	α	α	PRON
ap-4125	73	12	should	should	AUX
ap-4125	73	13	be	be	AUX
ap-4125	73	14	increased	increase	VERB
ap-4125	73	15	,	,	PUNCT
ap-4125	73	16	but	but	CCONJ
ap-4125	73	17	there	there	PRON
ap-4125	73	18	is	be	VERB
ap-4125	73	19	a	a	DET
ap-4125	73	20	certain	certain	ADJ
ap-4125	73	21	limit	limit	NOUN
ap-4125	73	22	at	at	ADP
ap-4125	73	23	which	which	PRON
ap-4125	73	24	a	a	DET
ap-4125	73	25	disk	disk	NOUN
ap-4125	73	26	dragging	dragging	NOUN
ap-4125	73	27	begins	begin	VERB
ap-4125	73	28	.	.	PUNCT
ap-4125	74	1	let	let	VERB
ap-4125	74	2	us	we	PRON
ap-4125	74	3	assume	assume	VERB
ap-4125	74	4	that	that	SCONJ
ap-4125	74	5	there	there	PRON
ap-4125	74	6	is	be	VERB
ap-4125	74	7	no	no	DET
ap-4125	74	8	dragging	dragging	NOUN
ap-4125	74	9	,	,	PUNCT
ap-4125	74	10	that	that	PRON
ap-4125	74	11	is	be	AUX
ap-4125	74	12	to	to	PART
ap-4125	74	13	say	say	VERB
ap-4125	74	14	,	,	PUNCT
ap-4125	74	15	vτ	vτ	NOUN
ap-4125	74	16	=	=	SYM
ap-4125	74	17	ωr	ωr	PROPN
ap-4125	74	18	,	,	PUNCT
ap-4125	74	19	where	where	SCONJ
ap-4125	74	20	ω	ω	X
ap-4125	74	21	—	—	PUNCT
ap-4125	74	22	angular	angular	ADJ
ap-4125	74	23	velocity	velocity	NOUN
ap-4125	74	24	of	of	ADP
ap-4125	74	25	the	the	DET
ap-4125	74	26	disk	disk	NOUN
ap-4125	74	27	rotation	rotation	NOUN
ap-4125	74	28	.	.	PUNCT
ap-4125	75	1	hence	hence	ADV
ap-4125	75	2	,	,	PUNCT
ap-4125	75	3	we	we	PRON
ap-4125	75	4	define	define	VERB
ap-4125	75	5	ω	ω	PROPN
ap-4125	75	6	as	as	ADP
ap-4125	75	7	ω	ω	PROPN
ap-4125	75	8	=	=	PROPN
ap-4125	75	9	vm	vm	PROPN
ap-4125	75	10	cosα	cosα	PROPN
ap-4125	75	11	/	/	SYM
ap-4125	75	12	r.	r.	PROPN
ap-4125	75	13	the	the	DET
ap-4125	75	14	value	value	NOUN
ap-4125	75	15	of	of	ADP
ap-4125	75	16	the	the	DET
ap-4125	75	17	transverse	transverse	NOUN
ap-4125	75	18	velocity	velocity	NOUN
ap-4125	75	19	vt	vt	PROPN
ap-4125	75	20	,	,	PUNCT
ap-4125	75	21	as	as	ADV
ap-4125	75	22	well	well	ADV
ap-4125	75	23	as	as	ADP
ap-4125	75	24	the	the	DET
ap-4125	75	25	angular	angular	ADJ
ap-4125	75	26	velocity	velocity	NOUN
ap-4125	75	27	of	of	ADP
ap-4125	75	28	the	the	DET
ap-4125	75	29	disk	disk	NOUN
ap-4125	75	30	rotation	rotation	NOUN
ap-4125	75	31	,	,	PUNCT
ap-4125	75	32	is	be	AUX
ap-4125	75	33	taken	take	VERB
ap-4125	75	34	into	into	ADP
ap-4125	75	35	account	account	NOUN
ap-4125	75	36	for	for	ADP
ap-4125	75	37	numerical	numerical	ADJ
ap-4125	75	38	integration	integration	NOUN
ap-4125	75	39	of	of	ADP
ap-4125	75	40	differential	differential	ADJ
ap-4125	75	41	equations	equation	NOUN
ap-4125	75	42	relative	relative	ADJ
ap-4125	75	43	to	to	ADP
ap-4125	75	44	particle	particle	NOUN
ap-4125	75	45	motion	motion	NOUN
ap-4125	75	46	on	on	ADP
ap-4125	75	47	a	a	DET
ap-4125	75	48	disk	disk	NOUN
ap-4125	75	49	surface	surface	NOUN
ap-4125	75	50	.	.	PUNCT
ap-4125	76	1	let	let	VERB
ap-4125	76	2	us	we	PRON
ap-4125	76	3	govern	govern	VERB
ap-4125	76	4	the	the	DET
ap-4125	76	5	initial	initial	ADJ
ap-4125	76	6	position	position	NOUN
ap-4125	76	7	of	of	ADP
ap-4125	76	8	a	a	DET
ap-4125	76	9	sphere	sphere	NOUN
ap-4125	76	10	using	use	VERB
ap-4125	76	11	parametric	parametric	ADJ
ap-4125	76	12	equations	equation	NOUN
ap-4125	76	13	;	;	PUNCT
ap-4125	76	14	here	here	ADV
ap-4125	76	15	x	x	NOUN
ap-4125	76	16	-	-	NOUN
ap-4125	76	17	axis	axis	NOUN
ap-4125	76	18	of	of	ADP
ap-4125	76	19	coordinates	coordinate	NOUN
ap-4125	76	20	,	,	PUNCT
ap-4125	76	21	which	which	PRON
ap-4125	76	22	is	be	AUX
ap-4125	76	23	parallel	parallel	ADJ
ap-4125	76	24	to	to	ADP
ap-4125	76	25	a	a	DET
ap-4125	76	26	horizontal	horizontal	ADJ
ap-4125	76	27	plane	plane	NOUN
ap-4125	76	28	,	,	PUNCT
ap-4125	76	29	that	that	PRON
ap-4125	76	30	is	be	AUX
ap-4125	76	31	to	to	PART
ap-4125	76	32	say	say	VERB
ap-4125	76	33	,	,	PUNCT
ap-4125	76	34	which	which	PRON
ap-4125	76	35	is	be	AUX
ap-4125	76	36	parallel	parallel	ADJ
ap-4125	76	37	to	to	ADP
ap-4125	76	38	a	a	DET
ap-4125	76	39	field	field	NOUN
ap-4125	76	40	surface	surface	NOUN
ap-4125	76	41	,	,	PUNCT
ap-4125	76	42	is	be	AUX
ap-4125	76	43	taken	take	VERB
ap-4125	76	44	for	for	ADP
ap-4125	76	45	a	a	DET
ap-4125	76	46	rotational	rotational	ADJ
ap-4125	76	47	axis	axis	NOUN
ap-4125	76	48	(	(	PUNCT
ap-4125	76	49	figure	figure	NOUN
ap-4125	76	50	2b	2b	NOUN
ap-4125	76	51	):	):	PUNCT
ap-4125	77	1	x	x	SYM
ap-4125	77	2	=	=	SYM
ap-4125	77	3	−r	−r	ADJ
ap-4125	77	4	cosu	cosu	PROPN
ap-4125	77	5	,	,	PUNCT
ap-4125	77	6	y	y	PROPN
ap-4125	77	7	=	=	PUNCT
ap-4125	77	8	r	r	NOUN
ap-4125	77	9	sin	sin	NOUN
ap-4125	77	10	u	u	NOUN
ap-4125	77	11	sin	sin	NOUN
ap-4125	77	12	v	v	NOUN
ap-4125	77	13	,	,	PUNCT
ap-4125	77	14	z	z	NOUN
ap-4125	77	15	=	=	PUNCT
ap-4125	78	1	r	r	NOUN
ap-4125	78	2	sin	sin	NOUN
ap-4125	78	3	u	u	PROPN
ap-4125	78	4	cos	cos	PROPN
ap-4125	78	5	v	v	PROPN
ap-4125	78	6	,	,	PUNCT
ap-4125	78	7	(	(	PUNCT
ap-4125	78	8	1	1	X
ap-4125	78	9	)	)	PUNCT
ap-4125	78	10	where	where	SCONJ
ap-4125	78	11	u	u	NOUN
ap-4125	78	12	,	,	PUNCT
ap-4125	78	13	v	v	INTJ
ap-4125	78	14	—	—	PUNCT
ap-4125	78	15	independent	independent	ADJ
ap-4125	78	16	variables	variable	NOUN
ap-4125	78	17	of	of	ADP
ap-4125	78	18	a	a	DET
ap-4125	78	19	surface	surface	NOUN
ap-4125	78	20	;	;	PUNCT
ap-4125	78	21	v	v	X
ap-4125	78	22	—	—	PUNCT
ap-4125	78	23	angle	angle	NOUN
ap-4125	78	24	of	of	ADP
ap-4125	78	25	rotation	rotation	NOUN
ap-4125	78	26	of	of	ADP
ap-4125	78	27	a	a	DET
ap-4125	78	28	point	point	NOUN
ap-4125	78	29	around	around	ADP
ap-4125	78	30	x	x	NOUN
ap-4125	78	31	-	-	NOUN
ap-4125	78	32	axis	axis	NOUN
ap-4125	78	33	along	along	ADP
ap-4125	78	34	the	the	DET
ap-4125	78	35	parallel	parallel	NOUN
ap-4125	78	36	(	(	PUNCT
ap-4125	78	37	v	v	NOUN
ap-4125	78	38	=	=	PUNCT
ap-4125	78	39	0–2π	0–2π	NUM
ap-4125	78	40	)	)	PUNCT
ap-4125	78	41	;	;	PUNCT
ap-4125	78	42	u	u	X
ap-4125	78	43	—	—	PUNCT
ap-4125	78	44	an	an	DET
ap-4125	78	45	angular	angular	ADJ
ap-4125	78	46	coordinate	coordinate	NOUN
ap-4125	78	47	of	of	ADP
ap-4125	78	48	this	this	DET
ap-4125	78	49	point	point	NOUN
ap-4125	78	50	along	along	ADP
ap-4125	78	51	the	the	DET
ap-4125	78	52	meridian	meridian	PROPN
ap-4125	78	53	,	,	PUNCT
ap-4125	78	54	which	which	DET
ap-4125	78	55	origin	origin	NOUN
ap-4125	78	56	starts	start	VERB
ap-4125	78	57	from	from	ADP
ap-4125	78	58	the	the	DET
ap-4125	78	59	point	point	NOUN
ap-4125	78	60	of	of	ADP
ap-4125	78	61	the	the	DET
ap-4125	78	62	intersection	intersection	NOUN
ap-4125	78	63	of	of	ADP
ap-4125	78	64	the	the	DET
ap-4125	78	65	x	x	NOUN
ap-4125	78	66	-	-	NOUN
ap-4125	78	67	axis	axis	NOUN
ap-4125	78	68	and	and	CCONJ
ap-4125	78	69	a	a	DET
ap-4125	78	70	sphere	sphere	NOUN
ap-4125	78	71	surface	surface	NOUN
ap-4125	78	72	.	.	PUNCT
ap-4125	79	1	in	in	ADP
ap-4125	79	2	order	order	NOUN
ap-4125	79	3	to	to	PART
ap-4125	79	4	separate	separate	VERB
ap-4125	79	5	the	the	DET
ap-4125	79	6	required	require	VERB
ap-4125	79	7	segment	segment	NOUN
ap-4125	79	8	out	out	ADP
ap-4125	79	9	of	of	ADP
ap-4125	79	10	the	the	DET
ap-4125	79	11	equations	equation	NOUN
ap-4125	79	12	of	of	ADP
ap-4125	79	13	a	a	DET
ap-4125	79	14	sphere	sphere	NOUN
ap-4125	79	15	(	(	PUNCT
ap-4125	79	16	1	1	NUM
ap-4125	79	17	)	)	PUNCT
ap-4125	79	18	,	,	PUNCT
ap-4125	79	19	it	it	PRON
ap-4125	79	20	is	be	AUX
ap-4125	79	21	necessary	necessary	ADJ
ap-4125	79	22	to	to	PART
ap-4125	79	23	set	set	VERB
ap-4125	79	24	the	the	DET
ap-4125	79	25	limits	limit	NOUN
ap-4125	79	26	of	of	ADP
ap-4125	79	27	the	the	DET
ap-4125	79	28	variable	variable	NOUN
ap-4125	79	29	u.	u.	VERB
ap-4125	79	30	the	the	DET
ap-4125	79	31	variable	variable	ADJ
ap-4125	79	32	u	u	NOUN
ap-4125	79	33	changes	change	VERB
ap-4125	79	34	from	from	ADP
ap-4125	79	35	0	0	NUM
ap-4125	79	36	(	(	PUNCT
ap-4125	79	37	corresponds	correspond	VERB
ap-4125	79	38	to	to	ADP
ap-4125	79	39	a	a	DET
ap-4125	79	40	segment	segment	NOUN
ap-4125	79	41	point	point	NOUN
ap-4125	79	42	,	,	PUNCT
ap-4125	79	43	through	through	ADP
ap-4125	79	44	which	which	DET
ap-4125	79	45	axis	axis	NOUN
ap-4125	79	46	of	of	ADP
ap-4125	79	47	rotation	rotation	NOUN
ap-4125	79	48	passes	pass	NOUN
ap-4125	79	49	)	)	PUNCT
ap-4125	79	50	to	to	ADP
ap-4125	79	51	arcsin(r	arcsin(r	NOUN
ap-4125	79	52	/	/	SYM
ap-4125	79	53	r	r	NOUN
ap-4125	79	54	)	)	PUNCT
ap-4125	79	55	—	—	PUNCT
ap-4125	79	56	this	this	DET
ap-4125	79	57	value	value	NOUN
ap-4125	79	58	u	u	NOUN
ap-4125	79	59	corresponds	correspond	VERB
ap-4125	79	60	to	to	ADP
ap-4125	79	61	a	a	DET
ap-4125	79	62	segment	segment	NOUN
ap-4125	79	63	circle	circle	NOUN
ap-4125	79	64	(	(	PUNCT
ap-4125	79	65	cutting	cut	VERB
ap-4125	79	66	edge	edge	NOUN
ap-4125	79	67	)	)	PUNCT
ap-4125	80	1	[	[	X
ap-4125	80	2	9	9	NUM
ap-4125	80	3	]	]	PUNCT
ap-4125	80	4	.	.	PUNCT
ap-4125	81	1	if	if	SCONJ
ap-4125	81	2	independent	independent	ADJ
ap-4125	81	3	variables	variable	NOUN
ap-4125	81	4	of	of	ADP
ap-4125	81	5	a	a	DET
ap-4125	81	6	surface	surface	NOUN
ap-4125	81	7	u	u	NOUN
ap-4125	81	8	and	and	CCONJ
ap-4125	81	9	v	v	NOUN
ap-4125	81	10	are	be	AUX
ap-4125	81	11	made	make	VERB
ap-4125	81	12	dependent	dependent	ADJ
ap-4125	81	13	on	on	ADP
ap-4125	81	14	one	one	NUM
ap-4125	81	15	another	another	DET
ap-4125	81	16	,	,	PUNCT
ap-4125	81	17	a	a	DET
ap-4125	81	18	line	line	NOUN
ap-4125	81	19	will	will	AUX
ap-4125	81	20	be	be	AUX
ap-4125	81	21	described	describe	VERB
ap-4125	81	22	on	on	ADP
ap-4125	81	23	the	the	DET
ap-4125	81	24	surface	surface	NOUN
ap-4125	81	25	of	of	ADP
ap-4125	81	26	a	a	DET
ap-4125	81	27	segment	segment	NOUN
ap-4125	81	28	.	.	PUNCT
ap-4125	82	1	let	let	VERB
ap-4125	82	2	us	we	PRON
ap-4125	82	3	assume	assume	VERB
ap-4125	82	4	that	that	SCONJ
ap-4125	82	5	such	such	ADJ
ap-4125	82	6	dependence	dependence	NOUN
ap-4125	82	7	is	be	AUX
ap-4125	82	8	determined	determine	VERB
ap-4125	82	9	by	by	ADP
ap-4125	82	10	the	the	DET
ap-4125	82	11	other	other	ADJ
ap-4125	82	12	variable	variable	NOUN
ap-4125	82	13	t	t	PROPN
ap-4125	82	14	—	—	PUNCT
ap-4125	82	15	time	time	NOUN
ap-4125	82	16	of	of	ADP
ap-4125	82	17	the	the	DET
ap-4125	82	18	particle	particle	NOUN
ap-4125	82	19	sliding	slide	VERB
ap-4125	82	20	on	on	ADP
ap-4125	82	21	the	the	DET
ap-4125	82	22	surface	surface	NOUN
ap-4125	82	23	of	of	ADP
ap-4125	82	24	a	a	DET
ap-4125	82	25	segment	segment	NOUN
ap-4125	82	26	(	(	PUNCT
ap-4125	82	27	a	a	DET
ap-4125	82	28	disk	disk	NOUN
ap-4125	82	29	)	)	PUNCT
ap-4125	82	30	.	.	PUNCT
ap-4125	83	1	then	then	ADV
ap-4125	83	2	,	,	PUNCT
ap-4125	83	3	an	an	DET
ap-4125	83	4	intrinsic	intrinsic	ADJ
ap-4125	83	5	equation	equation	NOUN
ap-4125	83	6	relative	relative	ADJ
ap-4125	83	7	to	to	ADP
ap-4125	83	8	particle	particle	NOUN
ap-4125	83	9	trajectory	trajectory	NOUN
ap-4125	83	10	is	be	AUX
ap-4125	83	11	defined	define	VERB
ap-4125	83	12	by	by	ADP
ap-4125	83	13	u	u	NOUN
ap-4125	83	14	=	=	SYM
ap-4125	83	15	u(t	u(t	NOUN
ap-4125	83	16	)	)	PUNCT
ap-4125	83	17	and	and	CCONJ
ap-4125	83	18	v	v	NOUN
ap-4125	83	19	=	=	SYM
ap-4125	83	20	v(t	v(t	NUM
ap-4125	83	21	)	)	PUNCT
ap-4125	83	22	.	.	PUNCT
ap-4125	84	1	these	these	DET
ap-4125	84	2	dependences	dependence	NOUN
ap-4125	84	3	are	be	AUX
ap-4125	84	4	to	to	PART
ap-4125	84	5	be	be	AUX
ap-4125	84	6	found	find	VERB
ap-4125	84	7	.	.	PUNCT
ap-4125	85	1	equations	equation	NOUN
ap-4125	85	2	(	(	PUNCT
ap-4125	85	3	1	1	X
ap-4125	85	4	)	)	PUNCT
ap-4125	85	5	are	be	AUX
ap-4125	85	6	the	the	DET
ap-4125	85	7	equations	equation	NOUN
ap-4125	85	8	of	of	ADP
ap-4125	85	9	a	a	DET
ap-4125	85	10	surface	surface	NOUN
ap-4125	85	11	,	,	PUNCT
ap-4125	85	12	but	but	CCONJ
ap-4125	85	13	when	when	SCONJ
ap-4125	85	14	determining	determine	VERB
ap-4125	85	15	dependences	dependence	NOUN
ap-4125	85	16	u	u	NOUN
ap-4125	85	17	=	=	SYM
ap-4125	85	18	u(t	u(t	NOUN
ap-4125	85	19	)	)	PUNCT
ap-4125	85	20	and	and	CCONJ
ap-4125	85	21	v	v	NOUN
ap-4125	85	22	=	=	SYM
ap-4125	85	23	v(t	v(t	NUM
ap-4125	85	24	)	)	PUNCT
ap-4125	85	25	they	they	PRON
ap-4125	85	26	change	change	VERB
ap-4125	85	27	into	into	ADP
ap-4125	85	28	the	the	DET
ap-4125	85	29	202	202	NUM
ap-4125	85	30	vol	vol	NOUN
ap-4125	85	31	.	.	PUNCT
ap-4125	86	1	58	58	NUM
ap-4125	87	1	no	no	NOUN
ap-4125	87	2	.	.	PUNCT
ap-4125	88	1	3/2018	3/2018	NUM
ap-4125	88	2	particle	particle	NOUN
ap-4125	88	3	motion	motion	NOUN
ap-4125	88	4	on	on	ADP
ap-4125	88	5	the	the	DET
ap-4125	88	6	surface	surface	NOUN
ap-4125	88	7	of	of	ADP
ap-4125	88	8	a	a	DET
ap-4125	88	9	concave	concave	ADJ
ap-4125	88	10	soil	soil	NOUN
ap-4125	88	11	-	-	PUNCT
ap-4125	88	12	tilling	till	VERB
ap-4125	88	13	disk	disk	NOUN
ap-4125	88	14	equations	equation	NOUN
ap-4125	88	15	of	of	ADP
ap-4125	88	16	a	a	DET
ap-4125	88	17	line	line	NOUN
ap-4125	88	18	on	on	ADP
ap-4125	88	19	a	a	DET
ap-4125	88	20	surface	surface	NOUN
ap-4125	88	21	.	.	PUNCT
ap-4125	89	1	in	in	ADP
ap-4125	89	2	order	order	NOUN
ap-4125	89	3	to	to	PART
ap-4125	89	4	differentiate	differentiate	VERB
ap-4125	89	5	equations	equation	NOUN
ap-4125	89	6	of	of	ADP
ap-4125	89	7	a	a	DET
ap-4125	89	8	surface	surface	NOUN
ap-4125	89	9	from	from	ADP
ap-4125	89	10	equations	equation	NOUN
ap-4125	89	11	of	of	ADP
ap-4125	89	12	a	a	DET
ap-4125	89	13	curve	curve	NOUN
ap-4125	89	14	on	on	ADP
ap-4125	89	15	it	it	PRON
ap-4125	89	16	,	,	PUNCT
ap-4125	89	17	for	for	ADP
ap-4125	89	18	indicating	indicate	VERB
ap-4125	89	19	x	x	PRON
ap-4125	89	20	,	,	PUNCT
ap-4125	89	21	y	y	PROPN
ap-4125	89	22	,	,	PUNCT
ap-4125	89	23	z	z	PROPN
ap-4125	89	24	in	in	ADP
ap-4125	89	25	the	the	DET
ap-4125	89	26	equations	equation	NOUN
ap-4125	89	27	of	of	ADP
ap-4125	89	28	a	a	DET
ap-4125	89	29	surface	surface	NOUN
ap-4125	89	30	we	we	PRON
ap-4125	89	31	use	use	VERB
ap-4125	89	32	upper	upper	ADJ
ap-4125	89	33	case	case	NOUN
ap-4125	89	34	and	and	CCONJ
ap-4125	89	35	in	in	ADP
ap-4125	89	36	the	the	DET
ap-4125	89	37	equations	equation	NOUN
ap-4125	89	38	of	of	ADP
ap-4125	89	39	a	a	DET
ap-4125	89	40	line	line	NOUN
ap-4125	89	41	we	we	PRON
ap-4125	89	42	use	use	VERB
ap-4125	89	43	lower	low	ADJ
ap-4125	89	44	case	case	NOUN
ap-4125	89	45	.	.	PUNCT
ap-4125	90	1	with	with	ADP
ap-4125	90	2	dependences	dependence	NOUN
ap-4125	90	3	u	u	NOUN
ap-4125	90	4	=	=	SYM
ap-4125	90	5	u(t	u(t	NOUN
ap-4125	90	6	)	)	PUNCT
ap-4125	90	7	and	and	CCONJ
ap-4125	90	8	v	v	NOUN
ap-4125	90	9	=	=	SYM
ap-4125	90	10	v(t	v(t	NUM
ap-4125	90	11	)	)	PUNCT
ap-4125	90	12	(	(	PUNCT
ap-4125	90	13	yet	yet	ADV
ap-4125	90	14	unknown	unknown	ADJ
ap-4125	90	15	)	)	PUNCT
ap-4125	90	16	,	,	PUNCT
ap-4125	90	17	equations	equation	NOUN
ap-4125	90	18	(	(	PUNCT
ap-4125	90	19	1	1	NUM
ap-4125	90	20	)	)	PUNCT
ap-4125	90	21	trace	trace	NOUN
ap-4125	90	22	out	out	ADP
ap-4125	90	23	a	a	DET
ap-4125	90	24	trajectory	trajectory	NOUN
ap-4125	90	25	of	of	ADP
ap-4125	90	26	relative	relative	ADJ
ap-4125	90	27	particle	particle	NOUN
ap-4125	90	28	motion	motion	NOUN
ap-4125	90	29	.	.	PUNCT
ap-4125	91	1	using	use	VERB
ap-4125	91	2	a	a	DET
ap-4125	91	3	differentiation	differentiation	NOUN
ap-4125	91	4	(	(	PUNCT
ap-4125	91	5	1	1	NUM
ap-4125	91	6	)	)	PUNCT
ap-4125	91	7	according	accord	VERB
ap-4125	91	8	to	to	ADP
ap-4125	91	9	time	time	NOUN
ap-4125	91	10	t	t	PROPN
ap-4125	91	11	,	,	PUNCT
ap-4125	91	12	we	we	PRON
ap-4125	91	13	obtain	obtain	VERB
ap-4125	91	14	projections	projection	NOUN
ap-4125	91	15	of	of	ADP
ap-4125	91	16	a	a	DET
ap-4125	91	17	relative	relative	ADJ
ap-4125	91	18	velocity	velocity	NOUN
ap-4125	91	19	of	of	ADP
ap-4125	91	20	particle	particle	NOUN
ap-4125	91	21	sliding	slide	VERB
ap-4125	91	22	on	on	ADP
ap-4125	91	23	a	a	DET
ap-4125	91	24	disk	disk	NOUN
ap-4125	91	25	surface	surface	NOUN
ap-4125	91	26	:	:	PUNCT
ap-4125	91	27	x′	x′	PROPN
ap-4125	91	28	=	=	PUNCT
ap-4125	91	29	ru′	ru′	ADJ
ap-4125	91	30	sin	sin	NOUN
ap-4125	91	31	u	u	NOUN
ap-4125	91	32	,	,	PUNCT
ap-4125	91	33	y′	y′	ADV
ap-4125	91	34	=	=	SYM
ap-4125	91	35	r(u′	r(u′	NOUN
ap-4125	91	36	cosu	cosu	VERB
ap-4125	91	37	sin	sin	VERB
ap-4125	91	38	v	v	ADP
ap-4125	91	39	+	+	CCONJ
ap-4125	91	40	v′	v′	PROPN
ap-4125	91	41	sin	sin	NOUN
ap-4125	91	42	u	u	NOUN
ap-4125	91	43	cos	cos	PROPN
ap-4125	91	44	v	v	NOUN
ap-4125	91	45	)	)	PUNCT
ap-4125	91	46	,	,	PUNCT
ap-4125	91	47	z′	z′	X
ap-4125	91	48	=	=	PUNCT
ap-4125	91	49	r(u′	r(u′	PROPN
ap-4125	91	50	cosu	cosu	VERB
ap-4125	91	51	cos	cos	PROPN
ap-4125	91	52	v	v	PROPN
ap-4125	91	53	−	−	PROPN
ap-4125	91	54	v′	v′	NOUN
ap-4125	91	55	sin	sin	NOUN
ap-4125	91	56	u	u	PROPN
ap-4125	91	57	sin	sin	NOUN
ap-4125	91	58	v	v	NOUN
ap-4125	91	59	)	)	PUNCT
ap-4125	91	60	.	.	PUNCT
ap-4125	92	1	(	(	PUNCT
ap-4125	92	2	2	2	X
ap-4125	92	3	)	)	PUNCT
ap-4125	92	4	the	the	DET
ap-4125	92	5	value	value	NOUN
ap-4125	92	6	of	of	ADP
ap-4125	92	7	relative	relative	ADJ
ap-4125	92	8	velocity	velocity	NOUN
ap-4125	92	9	is	be	AUX
ap-4125	92	10	obtained	obtain	VERB
ap-4125	92	11	from	from	ADP
ap-4125	92	12	vector	vector	NOUN
ap-4125	92	13	sum	sum	NOUN
ap-4125	92	14	of	of	ADP
ap-4125	92	15	the	the	DET
ap-4125	92	16	components	component	NOUN
ap-4125	92	17	:	:	PUNCT
ap-4125	92	18	v	v	X
ap-4125	92	19	=	=	SYM
ap-4125	92	20	√	√	PROPN
ap-4125	92	21	x′2	x′2	NOUN
ap-4125	93	1	+	+	CCONJ
ap-4125	93	2	y′2	y′2	ADJ
ap-4125	93	3	+	+	CCONJ
ap-4125	93	4	z′2	z′2	NOUN
ap-4125	93	5	=	=	SYM
ap-4125	94	1	r	r	NOUN
ap-4125	94	2	√	√	NUM
ap-4125	94	3	u′2	u′2	NOUN
ap-4125	94	4	+	+	CCONJ
ap-4125	94	5	v′2	v′2	ADJ
ap-4125	94	6	sin2	sin2	PROPN
ap-4125	94	7	u.	u.	PROPN
ap-4125	94	8	(	(	PUNCT
ap-4125	94	9	3	3	NUM
ap-4125	94	10	)	)	PUNCT
ap-4125	94	11	when	when	SCONJ
ap-4125	94	12	rotating	rotate	VERB
ap-4125	94	13	around	around	ADP
ap-4125	94	14	its	its	PRON
ap-4125	94	15	axis	axis	NOUN
ap-4125	94	16	at	at	ADP
ap-4125	94	17	angular	angular	ADJ
ap-4125	94	18	velocity	velocity	NOUN
ap-4125	94	19	ω	ω	PROPN
ap-4125	94	20	,	,	PUNCT
ap-4125	94	21	all	all	DET
ap-4125	94	22	segment	segment	NOUN
ap-4125	94	23	points	point	NOUN
ap-4125	94	24	(	(	PUNCT
ap-4125	94	25	1	1	X
ap-4125	94	26	)	)	PUNCT
ap-4125	94	27	turn	turn	NOUN
ap-4125	94	28	at	at	ADP
ap-4125	94	29	angle	angle	NOUN
ap-4125	94	30	ϕ	ϕ	NOUN
ap-4125	94	31	=	=	SYM
ap-4125	94	32	−ωt	−ωt	PROPN
ap-4125	94	33	.	.	PUNCT
ap-4125	94	34	sign	sign	NOUN
ap-4125	94	35	“	"	PUNCT
ap-4125	94	36	−	−	PROPN
ap-4125	94	37	”	"	PUNCT
ap-4125	94	38	was	be	AUX
ap-4125	94	39	adopted	adopt	VERB
ap-4125	94	40	in	in	ADP
ap-4125	94	41	order	order	NOUN
ap-4125	94	42	to	to	PART
ap-4125	94	43	correlate	correlate	VERB
ap-4125	94	44	velocity	velocity	NOUN
ap-4125	94	45	vector	vector	NOUN
ap-4125	94	46	of	of	ADP
ap-4125	94	47	a	a	DET
ap-4125	94	48	machine	machine	NOUN
ap-4125	94	49	and	and	CCONJ
ap-4125	94	50	rotation	rotation	NOUN
ap-4125	94	51	direction	direction	NOUN
ap-4125	94	52	of	of	ADP
ap-4125	94	53	a	a	DET
ap-4125	94	54	segment	segment	NOUN
ap-4125	94	55	(	(	PUNCT
ap-4125	94	56	a	a	DET
ap-4125	94	57	disk	disk	NOUN
ap-4125	94	58	)	)	PUNCT
ap-4125	94	59	.	.	PUNCT
ap-4125	95	1	by	by	ADP
ap-4125	95	2	applying	apply	VERB
ap-4125	95	3	rotation	rotation	NOUN
ap-4125	95	4	formulas	formula	NOUN
ap-4125	95	5	,	,	PUNCT
ap-4125	95	6	let	let	VERB
ap-4125	95	7	us	we	PRON
ap-4125	95	8	write	write	VERB
ap-4125	95	9	parametric	parametric	ADJ
ap-4125	95	10	equations	equation	NOUN
ap-4125	95	11	of	of	ADP
ap-4125	95	12	a	a	DET
ap-4125	95	13	segment	segment	NOUN
ap-4125	95	14	,	,	PUNCT
ap-4125	95	15	which	which	PRON
ap-4125	95	16	describe	describe	VERB
ap-4125	95	17	its	its	PRON
ap-4125	95	18	position	position	NOUN
ap-4125	95	19	after	after	ADP
ap-4125	95	20	its	its	PRON
ap-4125	95	21	turn	turn	NOUN
ap-4125	95	22	at	at	ADP
ap-4125	95	23	an	an	DET
ap-4125	95	24	angle	angle	NOUN
ap-4125	95	25	ϕ	ϕ	NOUN
ap-4125	95	26	:	:	PUNCT
ap-4125	95	27	x	x	SYM
ap-4125	95	28	=	=	SYM
ap-4125	95	29	−r	−r	ADJ
ap-4125	95	30	cosu	cosu	PROPN
ap-4125	95	31	,	,	PUNCT
ap-4125	95	32	y	y	PROPN
ap-4125	95	33	=	=	PUNCT
ap-4125	95	34	r	r	NOUN
ap-4125	95	35	sin	sin	NOUN
ap-4125	95	36	u	u	PROPN
ap-4125	95	37	sin	sin	NOUN
ap-4125	95	38	v	v	ADP
ap-4125	95	39	cos(−ωt)−r	cos(−ωt)−r	PROPN
ap-4125	95	40	sin	sin	NOUN
ap-4125	95	41	u	u	PROPN
ap-4125	95	42	cos	cos	PROPN
ap-4125	95	43	v	v	ADP
ap-4125	95	44	sin(−ωt	sin(−ωt	PROPN
ap-4125	95	45	)	)	PUNCT
ap-4125	95	46	,	,	PUNCT
ap-4125	95	47	z	z	NOUN
ap-4125	96	1	=	=	PUNCT
ap-4125	96	2	r	r	NOUN
ap-4125	96	3	sin	sin	NOUN
ap-4125	96	4	u	u	NOUN
ap-4125	96	5	sin	sin	VERB
ap-4125	96	6	v	v	ADP
ap-4125	96	7	sin(−ωt	sin(−ωt	NOUN
ap-4125	96	8	)	)	PUNCT
ap-4125	97	1	+	+	NOUN
ap-4125	97	2	r	r	NOUN
ap-4125	97	3	sin	sin	NOUN
ap-4125	97	4	u	u	NOUN
ap-4125	97	5	cos	cos	PROPN
ap-4125	97	6	v	v	PROPN
ap-4125	97	7	cos(−ωt	cos(−ωt	NOUN
ap-4125	97	8	)	)	PUNCT
ap-4125	97	9	.	.	PUNCT
ap-4125	98	1	(	(	PUNCT
ap-4125	98	2	4	4	X
ap-4125	98	3	)	)	PUNCT
ap-4125	98	4	after	after	ADP
ap-4125	98	5	simplifications	simplification	NOUN
ap-4125	98	6	(	(	PUNCT
ap-4125	98	7	4	4	NUM
ap-4125	98	8	)	)	PUNCT
ap-4125	98	9	,	,	PUNCT
ap-4125	98	10	we	we	PRON
ap-4125	98	11	obtain	obtain	VERB
ap-4125	98	12	an	an	DET
ap-4125	98	13	equation	equation	NOUN
ap-4125	98	14	of	of	ADP
ap-4125	98	15	a	a	DET
ap-4125	98	16	line	line	NOUN
ap-4125	98	17	on	on	ADP
ap-4125	98	18	a	a	DET
ap-4125	98	19	segment	segment	NOUN
ap-4125	98	20	surface	surface	NOUN
ap-4125	98	21	,	,	PUNCT
ap-4125	98	22	which	which	PRON
ap-4125	98	23	is	be	AUX
ap-4125	98	24	an	an	DET
ap-4125	98	25	absolute	absolute	ADJ
ap-4125	98	26	trajectory	trajectory	NOUN
ap-4125	98	27	of	of	ADP
ap-4125	98	28	particle	particle	NOUN
ap-4125	98	29	motion	motion	NOUN
ap-4125	98	30	;	;	PUNCT
ap-4125	98	31	that	that	PRON
ap-4125	98	32	is	be	AUX
ap-4125	98	33	why	why	SCONJ
ap-4125	98	34	we	we	PRON
ap-4125	98	35	pass	pass	VERB
ap-4125	98	36	on	on	ADP
ap-4125	98	37	to	to	ADP
ap-4125	98	38	lower	low	ADJ
ap-4125	98	39	case	case	NOUN
ap-4125	98	40	letters	letter	NOUN
ap-4125	98	41	:	:	PUNCT
ap-4125	98	42	x	x	SYM
ap-4125	98	43	=	=	SYM
ap-4125	98	44	−r	−r	ADJ
ap-4125	98	45	cosu	cosu	PROPN
ap-4125	98	46	,	,	PUNCT
ap-4125	98	47	y	y	PROPN
ap-4125	98	48	=	=	PUNCT
ap-4125	98	49	r	r	NOUN
ap-4125	98	50	sin	sin	NOUN
ap-4125	98	51	u	u	NOUN
ap-4125	98	52	sin(v	sin(v	PROPN
ap-4125	98	53	+	+	PROPN
ap-4125	98	54	ωt	ωt	PROPN
ap-4125	98	55	)	)	PUNCT
ap-4125	98	56	,	,	PUNCT
ap-4125	98	57	z	z	NOUN
ap-4125	99	1	=	=	PUNCT
ap-4125	99	2	r	r	NOUN
ap-4125	99	3	sin	sin	NOUN
ap-4125	99	4	u	u	NOUN
ap-4125	99	5	cos(v	cos(v	NOUN
ap-4125	99	6	+	+	CCONJ
ap-4125	99	7	ωt	ωt	PROPN
ap-4125	99	8	)	)	PUNCT
ap-4125	99	9	.	.	PUNCT
ap-4125	100	1	(	(	PUNCT
ap-4125	100	2	5	5	X
ap-4125	100	3	)	)	PUNCT
ap-4125	100	4	the	the	DET
ap-4125	100	5	differential	differential	ADJ
ap-4125	100	6	equation	equation	NOUN
ap-4125	100	7	of	of	ADP
ap-4125	100	8	particle	particle	NOUN
ap-4125	100	9	motion	motion	NOUN
ap-4125	100	10	on	on	ADP
ap-4125	100	11	the	the	DET
ap-4125	100	12	surface	surface	NOUN
ap-4125	100	13	of	of	ADP
ap-4125	100	14	a	a	DET
ap-4125	100	15	segment	segment	NOUN
ap-4125	100	16	of	of	ADP
ap-4125	100	17	a	a	DET
ap-4125	100	18	sphere	sphere	NOUN
ap-4125	100	19	is	be	AUX
ap-4125	100	20	written	write	VERB
ap-4125	100	21	as	as	ADP
ap-4125	100	22	m	m	PROPN
ap-4125	100	23	~	~	X
ap-4125	100	24	w	w	PROPN
ap-4125	100	25	=	=	SYM
ap-4125	100	26	~f	~f	PUNCT
ap-4125	100	27	,	,	PUNCT
ap-4125	100	28	where	where	SCONJ
ap-4125	100	29	m	m	VERB
ap-4125	100	30	—	—	PUNCT
ap-4125	100	31	a	a	DET
ap-4125	100	32	mass	mass	NOUN
ap-4125	100	33	of	of	ADP
ap-4125	100	34	a	a	DET
ap-4125	100	35	particle	particle	NOUN
ap-4125	100	36	,	,	PUNCT
ap-4125	100	37	~w	~w	NUM
ap-4125	100	38	—	—	PUNCT
ap-4125	100	39	the	the	DET
ap-4125	100	40	vector	vector	NOUN
ap-4125	100	41	of	of	ADP
ap-4125	100	42	absolute	absolute	ADJ
ap-4125	100	43	acceleration	acceleration	NOUN
ap-4125	100	44	,	,	PUNCT
ap-4125	100	45	~f	~f	PUNCT
ap-4125	100	46	—	—	PUNCT
ap-4125	100	47	equal	equal	ADJ
ap-4125	100	48	vector	vector	NOUN
ap-4125	100	49	forces	force	NOUN
ap-4125	100	50	,	,	PUNCT
ap-4125	100	51	which	which	PRON
ap-4125	100	52	are	be	AUX
ap-4125	100	53	exerted	exert	VERB
ap-4125	100	54	on	on	ADP
ap-4125	100	55	a	a	DET
ap-4125	100	56	particle	particle	NOUN
ap-4125	100	57	.	.	PUNCT
ap-4125	101	1	such	such	ADJ
ap-4125	101	2	forces	force	NOUN
ap-4125	101	3	are	be	AUX
ap-4125	101	4	the	the	DET
ap-4125	101	5	following	follow	VERB
ap-4125	101	6	:	:	PUNCT
ap-4125	101	7	weight	weight	NOUN
ap-4125	101	8	force	force	NOUN
ap-4125	101	9	of	of	ADP
ap-4125	101	10	a	a	DET
ap-4125	101	11	particle	particle	NOUN
ap-4125	101	12	mg	mg	PROPN
ap-4125	101	13	(	(	PUNCT
ap-4125	101	14	g	g	NOUN
ap-4125	101	15	=	=	SYM
ap-4125	101	16	9.81m	9.81m	PROPN
ap-4125	101	17	/	/	SYM
ap-4125	101	18	s2	s2	PROPN
ap-4125	101	19	)	)	PUNCT
ap-4125	101	20	,	,	PUNCT
ap-4125	101	21	surface	surface	NOUN
ap-4125	101	22	reaction	reaction	NOUN
ap-4125	101	23	~n	~n	NUM
ap-4125	101	24	and	and	CCONJ
ap-4125	101	25	friction	friction	NOUN
ap-4125	101	26	force	force	NOUN
ap-4125	101	27	f	f	PROPN
ap-4125	101	28	~n	~n	NUM
ap-4125	101	29	,	,	PUNCT
ap-4125	101	30	which	which	PRON
ap-4125	101	31	offers	offer	VERB
ap-4125	101	32	a	a	DET
ap-4125	101	33	resistance	resistance	NOUN
ap-4125	101	34	to	to	ADP
ap-4125	101	35	the	the	DET
ap-4125	101	36	particle	particle	NOUN
ap-4125	101	37	sliding	slide	VERB
ap-4125	101	38	on	on	ADP
ap-4125	101	39	the	the	DET
ap-4125	101	40	surface	surface	NOUN
ap-4125	101	41	of	of	ADP
ap-4125	101	42	a	a	DET
ap-4125	101	43	segment	segment	NOUN
ap-4125	101	44	(	(	PUNCT
ap-4125	101	45	f	f	NOUN
ap-4125	101	46	—	—	PUNCT
ap-4125	101	47	friction	friction	NOUN
ap-4125	101	48	coefficient	coefficient	NOUN
ap-4125	101	49	)	)	PUNCT
ap-4125	101	50	.	.	PUNCT
ap-4125	102	1	let	let	VERB
ap-4125	102	2	us	we	PRON
ap-4125	102	3	write	write	VERB
ap-4125	102	4	the	the	DET
ap-4125	102	5	deduced	deduce	VERB
ap-4125	102	6	vector	vector	NOUN
ap-4125	102	7	equation	equation	NOUN
ap-4125	102	8	in	in	ADP
ap-4125	102	9	projections	projection	NOUN
ap-4125	102	10	onto	onto	ADP
ap-4125	102	11	an	an	DET
ap-4125	102	12	axis	axis	NOUN
ap-4125	102	13	and	and	CCONJ
ap-4125	102	14	,	,	PUNCT
ap-4125	102	15	as	as	ADP
ap-4125	102	16	a	a	DET
ap-4125	102	17	result	result	NOUN
ap-4125	102	18	,	,	PUNCT
ap-4125	102	19	we	we	PRON
ap-4125	102	20	obtain	obtain	VERB
ap-4125	102	21	a	a	DET
ap-4125	102	22	set	set	NOUN
ap-4125	102	23	of	of	ADP
ap-4125	102	24	three	three	NUM
ap-4125	102	25	differential	differential	ADJ
ap-4125	102	26	equations	equation	NOUN
ap-4125	102	27	.	.	PUNCT
ap-4125	103	1	absolute	absolute	ADJ
ap-4125	103	2	acceleration	acceleration	NOUN
ap-4125	103	3	of	of	ADP
ap-4125	103	4	a	a	DET
ap-4125	103	5	particle	particle	NOUN
ap-4125	103	6	is	be	AUX
ap-4125	103	7	obtained	obtain	VERB
ap-4125	103	8	from	from	ADP
ap-4125	103	9	successive	successive	ADJ
ap-4125	103	10	differentiation	differentiation	NOUN
ap-4125	103	11	of	of	ADP
ap-4125	103	12	equations	equation	NOUN
ap-4125	103	13	(	(	PUNCT
ap-4125	103	14	5	5	NUM
ap-4125	103	15	)	)	PUNCT
ap-4125	103	16	according	accord	VERB
ap-4125	103	17	to	to	ADP
ap-4125	103	18	time	time	NOUN
ap-4125	103	19	t.	t.	NOUN
ap-4125	103	20	the	the	DET
ap-4125	103	21	first	first	ADJ
ap-4125	103	22	-	-	PUNCT
ap-4125	103	23	order	order	NOUN
ap-4125	103	24	derivative	derivative	NOUN
ap-4125	103	25	of	of	ADP
ap-4125	103	26	equations	equation	NOUN
ap-4125	103	27	(	(	PUNCT
ap-4125	103	28	5	5	NUM
ap-4125	103	29	)	)	PUNCT
ap-4125	103	30	,	,	PUNCT
ap-4125	103	31	that	that	PRON
ap-4125	103	32	is	be	AUX
ap-4125	103	33	to	to	PART
ap-4125	103	34	say	say	VERB
ap-4125	103	35	a	a	DET
ap-4125	103	36	vector	vector	NOUN
ap-4125	103	37	of	of	ADP
ap-4125	103	38	an	an	DET
ap-4125	103	39	absolute	absolute	ADJ
ap-4125	103	40	velocity	velocity	NOUN
ap-4125	103	41	of	of	ADP
ap-4125	103	42	a	a	DET
ap-4125	103	43	particle	particle	NOUN
ap-4125	103	44	,	,	PUNCT
ap-4125	103	45	takes	take	VERB
ap-4125	103	46	the	the	DET
ap-4125	103	47	following	follow	VERB
ap-4125	103	48	form	form	NOUN
ap-4125	103	49	:	:	PUNCT
ap-4125	104	1	x′	x′	PROPN
ap-4125	104	2	=	=	PUNCT
ap-4125	104	3	ru′	ru′	ADJ
ap-4125	104	4	sin	sin	NOUN
ap-4125	104	5	u	u	NOUN
ap-4125	104	6	,	,	PUNCT
ap-4125	104	7	y′	y′	X
ap-4125	104	8	=	=	SYM
ap-4125	104	9	r	r	NOUN
ap-4125	104	10	(	(	PUNCT
ap-4125	104	11	u′	u′	PROPN
ap-4125	104	12	cosu	cosu	VERB
ap-4125	104	13	sin(v	sin(v	PROPN
ap-4125	104	14	+	+	CCONJ
ap-4125	104	15	ωt	ωt	PROPN
ap-4125	104	16	)	)	PUNCT
ap-4125	104	17	+	+	CCONJ
ap-4125	104	18	(	(	PUNCT
ap-4125	104	19	v′	v′	NOUN
ap-4125	104	20	+	+	CCONJ
ap-4125	104	21	ω	ω	X
ap-4125	104	22	)	)	PUNCT
ap-4125	104	23	sin	sin	NOUN
ap-4125	104	24	u	u	NOUN
ap-4125	104	25	cos(v	cos(v	NOUN
ap-4125	104	26	+	+	CCONJ
ap-4125	104	27	ωt	ωt	PROPN
ap-4125	104	28	)	)	PUNCT
ap-4125	104	29	)	)	PUNCT
ap-4125	104	30	,	,	PUNCT
ap-4125	104	31	z′	z′	NUM
ap-4125	105	1	=	=	SYM
ap-4125	105	2	r	r	NOUN
ap-4125	105	3	(	(	PUNCT
ap-4125	105	4	u′	u′	PROPN
ap-4125	105	5	cosu	cosu	VERB
ap-4125	105	6	cos(v	cos(v	NOUN
ap-4125	105	7	+	+	CCONJ
ap-4125	105	8	ωt	ωt	PROPN
ap-4125	105	9	)	)	PUNCT
ap-4125	105	10	−	−	PROPN
ap-4125	105	11	(	(	PUNCT
ap-4125	105	12	v′	v′	NOUN
ap-4125	105	13	+	+	CCONJ
ap-4125	105	14	ω	ω	X
ap-4125	105	15	)	)	PUNCT
ap-4125	105	16	sin	sin	NOUN
ap-4125	105	17	u	u	PROPN
ap-4125	105	18	sin(v	sin(v	PROPN
ap-4125	105	19	+	+	PROPN
ap-4125	105	20	ωt	ωt	PROPN
ap-4125	105	21	)	)	PUNCT
ap-4125	105	22	)	)	PUNCT
ap-4125	105	23	.	.	PUNCT
ap-4125	106	1	(	(	PUNCT
ap-4125	106	2	6	6	X
ap-4125	106	3	)	)	PUNCT
ap-4125	106	4	we	we	PRON
ap-4125	106	5	differentiate	differentiate	VERB
ap-4125	106	6	equations	equation	NOUN
ap-4125	106	7	(	(	PUNCT
ap-4125	106	8	6	6	NUM
ap-4125	106	9	)	)	PUNCT
ap-4125	106	10	and	and	CCONJ
ap-4125	106	11	obtain	obtain	VERB
ap-4125	106	12	projections	projection	NOUN
ap-4125	106	13	of	of	ADP
ap-4125	106	14	a	a	DET
ap-4125	106	15	vector	vector	NOUN
ap-4125	106	16	of	of	ADP
ap-4125	106	17	an	an	DET
ap-4125	106	18	absolute	absolute	ADJ
ap-4125	106	19	acceleration	acceleration	NOUN
ap-4125	106	20	onto	onto	ADP
ap-4125	106	21	an	an	DET
ap-4125	106	22	axis	axis	NOUN
ap-4125	106	23	:	:	PUNCT
ap-4125	106	24	x′′	x′′	PROPN
ap-4125	106	25	=	=	SYM
ap-4125	106	26	r(u′2	r(u′2	PRON
ap-4125	106	27	cosu+	cosu+	NOUN
ap-4125	106	28	u′′	u′′	PROPN
ap-4125	106	29	sin	sin	NOUN
ap-4125	106	30	u	u	NOUN
ap-4125	106	31	)	)	PUNCT
ap-4125	106	32	,	,	PUNCT
ap-4125	106	33	y′′	y′′	NOUN
ap-4125	106	34	=	=	PUNCT
ap-4125	106	35	r	r	NOUN
ap-4125	106	36	cos(v+ωt	cos(v+ωt	PROPN
ap-4125	106	37	)	)	PUNCT
ap-4125	106	38	(	(	PUNCT
ap-4125	106	39	2u′(v′+ω	2u′(v′+ω	NUM
ap-4125	106	40	)	)	PUNCT
ap-4125	106	41	cosu+	cosu+	NOUN
ap-4125	106	42	v′′	v′′	NOUN
ap-4125	106	43	sin	sin	NOUN
ap-4125	106	44	u	u	NOUN
ap-4125	106	45	)	)	PUNCT
ap-4125	107	1	+	+	PUNCT
ap-4125	107	2	r	r	NOUN
ap-4125	107	3	sin(v+ωt	sin(v+ωt	NOUN
ap-4125	107	4	)	)	PUNCT
ap-4125	107	5	(	(	PUNCT
ap-4125	107	6	u′′	u′′	PROPN
ap-4125	107	7	cosu−	cosu−	PROPN
ap-4125	107	8	(	(	PUNCT
ap-4125	107	9	u′2	u′2	X
ap-4125	107	10	+	+	CCONJ
ap-4125	107	11	(	(	PUNCT
ap-4125	107	12	v′+ω)2	v′+ω)2	NOUN
ap-4125	107	13	)	)	PUNCT
ap-4125	107	14	sin	sin	NOUN
ap-4125	107	15	u	u	NOUN
ap-4125	107	16	)	)	PUNCT
ap-4125	107	17	,	,	PUNCT
ap-4125	107	18	z′′	z′′	NOUN
ap-4125	107	19	=	=	PUNCT
ap-4125	107	20	−r	−r	ADJ
ap-4125	107	21	sin(v+ωt	sin(v+ωt	NUM
ap-4125	107	22	)	)	PUNCT
ap-4125	107	23	(	(	PUNCT
ap-4125	107	24	2u′(v′+ω	2u′(v′+ω	NUM
ap-4125	107	25	)	)	PUNCT
ap-4125	107	26	cosu+	cosu+	NOUN
ap-4125	107	27	v′′	v′′	NOUN
ap-4125	107	28	sin	sin	NOUN
ap-4125	107	29	u	u	NOUN
ap-4125	107	30	)	)	PUNCT
ap-4125	108	1	+	+	ADP
ap-4125	108	2	r	r	NOUN
ap-4125	108	3	cos(v+ωt	cos(v+ωt	PROPN
ap-4125	108	4	)	)	PUNCT
ap-4125	108	5	(	(	PUNCT
ap-4125	108	6	u′′	u′′	PROPN
ap-4125	108	7	cosu−	cosu−	PROPN
ap-4125	108	8	(	(	PUNCT
ap-4125	108	9	u′2	u′2	X
ap-4125	108	10	+	+	CCONJ
ap-4125	108	11	(	(	PUNCT
ap-4125	108	12	v′+ω)2	v′+ω)2	PROPN
ap-4125	108	13	sin	sin	NOUN
ap-4125	108	14	u	u	NOUN
ap-4125	108	15	)	)	PUNCT
ap-4125	108	16	.	.	PUNCT
ap-4125	109	1	(	(	PUNCT
ap-4125	109	2	7	7	X
ap-4125	109	3	)	)	PUNCT
ap-4125	109	4	the	the	DET
ap-4125	109	5	first	first	ADJ
ap-4125	109	6	exerted	exert	VERB
ap-4125	109	7	force	force	NOUN
ap-4125	109	8	is	be	AUX
ap-4125	109	9	the	the	DET
ap-4125	109	10	particle	particle	NOUN
ap-4125	109	11	weight	weight	NOUN
ap-4125	109	12	mg	mg	PROPN
ap-4125	109	13	.	.	PUNCT
ap-4125	110	1	since	since	SCONJ
ap-4125	110	2	a	a	DET
ap-4125	110	3	vector	vector	NOUN
ap-4125	110	4	of	of	ADP
ap-4125	110	5	weight	weight	NOUN
ap-4125	110	6	is	be	AUX
ap-4125	110	7	down	down	ADV
ap-4125	110	8	-	-	PUNCT
ap-4125	110	9	directed	direct	VERB
ap-4125	110	10	,	,	PUNCT
ap-4125	110	11	its	its	PRON
ap-4125	110	12	projections	projection	NOUN
ap-4125	110	13	onto	onto	ADP
ap-4125	110	14	an	an	DET
ap-4125	110	15	axis	axis	NOUN
ap-4125	110	16	are	be	AUX
ap-4125	110	17	{	{	PUNCT
ap-4125	110	18	0	0	NUM
ap-4125	110	19	;	;	PUNCT
ap-4125	110	20	0;−mg	0;−mg	NUM
ap-4125	110	21	}	}	PUNCT
ap-4125	110	22	.	.	PUNCT
ap-4125	111	1	(	(	PUNCT
ap-4125	111	2	8)	8)	NUM
ap-4125	111	3	the	the	DET
ap-4125	111	4	second	second	ADJ
ap-4125	111	5	exerted	exert	VERB
ap-4125	111	6	force	force	NOUN
ap-4125	111	7	is	be	AUX
ap-4125	111	8	surface	surface	NOUN
ap-4125	111	9	reaction	reaction	NOUN
ap-4125	111	10	~n	~n	NUM
ap-4125	111	11	of	of	ADP
ap-4125	111	12	a	a	DET
ap-4125	111	13	segment	segment	NOUN
ap-4125	111	14	,	,	PUNCT
ap-4125	111	15	which	which	PRON
ap-4125	111	16	is	be	AUX
ap-4125	111	17	directed	direct	VERB
ap-4125	111	18	normal	normal	ADJ
ap-4125	111	19	to	to	ADP
ap-4125	111	20	a	a	DET
ap-4125	111	21	surface	surface	NOUN
ap-4125	111	22	.	.	PUNCT
ap-4125	112	1	all	all	DET
ap-4125	112	2	the	the	DET
ap-4125	112	3	normal	normal	ADJ
ap-4125	112	4	lines	line	NOUN
ap-4125	112	5	of	of	ADP
ap-4125	112	6	a	a	DET
ap-4125	112	7	sphere	sphere	NOUN
ap-4125	112	8	are	be	AUX
ap-4125	112	9	directed	direct	VERB
ap-4125	112	10	toward	toward	ADP
ap-4125	112	11	its	its	PRON
ap-4125	112	12	centre	centre	NOUN
ap-4125	112	13	,	,	PUNCT
ap-4125	112	14	that	that	PRON
ap-4125	112	15	is	be	AUX
ap-4125	112	16	why	why	SCONJ
ap-4125	112	17	,	,	PUNCT
ap-4125	112	18	their	their	PRON
ap-4125	112	19	coordinates	coordinate	NOUN
ap-4125	112	20	are	be	AUX
ap-4125	112	21	equal	equal	ADJ
ap-4125	112	22	to	to	ADP
ap-4125	112	23	parametric	parametric	ADJ
ap-4125	112	24	equations	equation	NOUN
ap-4125	112	25	(	(	PUNCT
ap-4125	112	26	1	1	NUM
ap-4125	112	27	)	)	PUNCT
ap-4125	112	28	,	,	PUNCT
ap-4125	112	29	having	having	AUX
ap-4125	112	30	taken	take	VERB
ap-4125	112	31	an	an	DET
ap-4125	112	32	opposite	opposite	ADJ
ap-4125	112	33	sign	sign	NOUN
ap-4125	112	34	and	and	CCONJ
ap-4125	112	35	taking	take	VERB
ap-4125	112	36	into	into	ADP
ap-4125	112	37	account	account	NOUN
ap-4125	112	38	surface	surface	NOUN
ap-4125	112	39	effect	effect	NOUN
ap-4125	112	40	on	on	ADP
ap-4125	112	41	a	a	DET
ap-4125	112	42	particle	particle	NOUN
ap-4125	112	43	.	.	PUNCT
ap-4125	113	1	this	this	DET
ap-4125	113	2	vector	vector	NOUN
ap-4125	113	3	is	be	AUX
ap-4125	113	4	applied	apply	VERB
ap-4125	113	5	to	to	ADP
ap-4125	113	6	a	a	DET
ap-4125	113	7	particle	particle	NOUN
ap-4125	113	8	at	at	ADP
ap-4125	113	9	its	its	PRON
ap-4125	113	10	locating	locating	NOUN
ap-4125	113	11	point	point	NOUN
ap-4125	113	12	.	.	PUNCT
ap-4125	114	1	it	it	PRON
ap-4125	114	2	must	must	AUX
ap-4125	114	3	be	be	AUX
ap-4125	114	4	turned	turn	VERB
ap-4125	114	5	through	through	ADP
ap-4125	114	6	angle	angle	NOUN
ap-4125	114	7	ϕ	ϕ	NOUN
ap-4125	114	8	=	=	SYM
ap-4125	114	9	−ωt	−ωt	NOUN
ap-4125	114	10	,	,	PUNCT
ap-4125	114	11	so	so	SCONJ
ap-4125	114	12	that	that	SCONJ
ap-4125	114	13	it	it	PRON
ap-4125	114	14	corresponds	correspond	VERB
ap-4125	114	15	to	to	ADP
ap-4125	114	16	the	the	DET
ap-4125	114	17	point	point	NOUN
ap-4125	114	18	of	of	ADP
ap-4125	114	19	its	its	PRON
ap-4125	114	20	location	location	NOUN
ap-4125	114	21	on	on	ADP
ap-4125	114	22	the	the	DET
ap-4125	114	23	surface	surface	NOUN
ap-4125	114	24	.	.	PUNCT
ap-4125	115	1	after	after	ADP
ap-4125	115	2	the	the	DET
ap-4125	115	3	turn	turn	NOUN
ap-4125	115	4	,	,	PUNCT
ap-4125	115	5	projections	projection	NOUN
ap-4125	115	6	of	of	ADP
ap-4125	115	7	a	a	DET
ap-4125	115	8	vector	vector	NOUN
ap-4125	115	9	take	take	VERB
ap-4125	115	10	the	the	DET
ap-4125	115	11	following	following	NOUN
ap-4125	115	12	:	:	PUNCT
ap-4125	115	13	nx	nx	X
ap-4125	115	14	=	=	SYM
ap-4125	115	15	cosu	cosu	PROPN
ap-4125	115	16	,	,	PUNCT
ap-4125	115	17	ny	ny	PROPN
ap-4125	115	18	=	=	SYM
ap-4125	116	1	−	−	PROPN
ap-4125	116	2	sin	sin	NOUN
ap-4125	116	3	u	u	PROPN
ap-4125	116	4	sin(v	sin(v	PROPN
ap-4125	116	5	+	+	PROPN
ap-4125	116	6	ωt	ωt	PROPN
ap-4125	116	7	)	)	PUNCT
ap-4125	116	8	,	,	PUNCT
ap-4125	116	9	nz	nz	NOUN
ap-4125	116	10	=	=	SYM
ap-4125	116	11	−	−	PROPN
ap-4125	116	12	sin	sin	NOUN
ap-4125	116	13	u	u	NOUN
ap-4125	116	14	cos(v	cos(v	NOUN
ap-4125	116	15	+	+	CCONJ
ap-4125	116	16	ωt	ωt	PROPN
ap-4125	116	17	)	)	PUNCT
ap-4125	116	18	.	.	PUNCT
ap-4125	117	1	(	(	PUNCT
ap-4125	117	2	9	9	X
ap-4125	117	3	)	)	PUNCT
ap-4125	117	4	as	as	SCONJ
ap-4125	117	5	may	may	AUX
ap-4125	117	6	be	be	AUX
ap-4125	117	7	inferred	infer	VERB
ap-4125	117	8	from	from	ADP
ap-4125	117	9	(	(	PUNCT
ap-4125	117	10	9	9	NUM
ap-4125	117	11	)	)	PUNCT
ap-4125	117	12	,	,	PUNCT
ap-4125	117	13	projections	projection	NOUN
ap-4125	117	14	of	of	ADP
ap-4125	117	15	a	a	DET
ap-4125	117	16	vector	vector	NOUN
ap-4125	117	17	differ	differ	VERB
ap-4125	117	18	from	from	ADP
ap-4125	117	19	equations	equation	NOUN
ap-4125	117	20	(	(	PUNCT
ap-4125	117	21	5	5	NUM
ap-4125	117	22	)	)	PUNCT
ap-4125	117	23	by	by	ADP
ap-4125	117	24	a	a	DET
ap-4125	117	25	sign	sign	NOUN
ap-4125	117	26	and	and	CCONJ
ap-4125	117	27	the	the	DET
ap-4125	117	28	absence	absence	NOUN
ap-4125	117	29	of	of	ADP
ap-4125	117	30	radius	radius	NOUN
ap-4125	117	31	r	r	NOUN
ap-4125	117	32	,	,	PUNCT
ap-4125	117	33	since	since	SCONJ
ap-4125	117	34	this	this	PRON
ap-4125	117	35	is	be	AUX
ap-4125	117	36	a	a	DET
ap-4125	117	37	unit	unit	NOUN
ap-4125	117	38	vector	vector	NOUN
ap-4125	117	39	.	.	PUNCT
ap-4125	118	1	the	the	DET
ap-4125	118	2	last	last	ADJ
ap-4125	118	3	one	one	NOUN
ap-4125	118	4	is	be	AUX
ap-4125	118	5	the	the	DET
ap-4125	118	6	friction	friction	NOUN
ap-4125	118	7	force	force	NOUN
ap-4125	118	8	f	f	PROPN
ap-4125	118	9	~n	~n	NUM
ap-4125	118	10	,	,	PUNCT
ap-4125	118	11	which	which	PRON
ap-4125	118	12	is	be	AUX
ap-4125	118	13	directed	direct	VERB
ap-4125	118	14	opposite	opposite	ADV
ap-4125	118	15	to	to	ADP
ap-4125	118	16	the	the	DET
ap-4125	118	17	relative	relative	ADJ
ap-4125	118	18	velocity	velocity	NOUN
ap-4125	118	19	~v	~v	NUM
ap-4125	118	20	of	of	ADP
ap-4125	118	21	particle	particle	NOUN
ap-4125	118	22	motion	motion	NOUN
ap-4125	118	23	,	,	PUNCT
ap-4125	118	24	that	that	PRON
ap-4125	118	25	is	be	AUX
ap-4125	118	26	to	to	PART
ap-4125	118	27	say	say	VERB
ap-4125	118	28	,	,	PUNCT
ap-4125	118	29	at	at	ADP
ap-4125	118	30	a	a	DET
ap-4125	118	31	tangent	tangent	NOUN
ap-4125	118	32	to	to	ADP
ap-4125	118	33	a	a	DET
ap-4125	118	34	relative	relative	ADJ
ap-4125	118	35	trajectory	trajectory	NOUN
ap-4125	118	36	.	.	PUNCT
ap-4125	119	1	projections	projection	NOUN
ap-4125	119	2	of	of	ADP
ap-4125	119	3	a	a	DET
ap-4125	119	4	unit	unit	NOUN
ap-4125	119	5	vector	vector	NOUN
ap-4125	119	6	~t	~t	PUNCT
ap-4125	119	7	,	,	PUNCT
ap-4125	119	8	along	along	ADP
ap-4125	119	9	which	which	PRON
ap-4125	119	10	velocity	velocity	NOUN
ap-4125	119	11	of	of	ADP
ap-4125	119	12	a	a	DET
ap-4125	119	13	particle	particle	NOUN
ap-4125	119	14	is	be	AUX
ap-4125	119	15	directed	direct	VERB
ap-4125	119	16	,	,	PUNCT
ap-4125	119	17	are	be	AUX
ap-4125	119	18	determined	determine	VERB
ap-4125	119	19	by	by	ADP
ap-4125	119	20	dividing	divide	VERB
ap-4125	119	21	velocity	velocity	NOUN
ap-4125	119	22	components	component	NOUN
ap-4125	119	23	(	(	PUNCT
ap-4125	119	24	2	2	NUM
ap-4125	119	25	)	)	PUNCT
ap-4125	119	26	by	by	ADP
ap-4125	119	27	its	its	PRON
ap-4125	119	28	modulus	modulus	NOUN
ap-4125	119	29	(	(	PUNCT
ap-4125	119	30	3	3	NUM
ap-4125	119	31	)	)	PUNCT
ap-4125	119	32	with	with	ADP
ap-4125	119	33	further	further	ADJ
ap-4125	119	34	rotation	rotation	NOUN
ap-4125	119	35	through	through	ADP
ap-4125	119	36	angle	angle	NOUN
ap-4125	119	37	ϕ	ϕ	NOUN
ap-4125	119	38	=	=	SYM
ap-4125	119	39	−ωt	−ωt	NOUN
ap-4125	119	40	:	:	PUNCT
ap-4125	119	41	tx	tx	PROPN
ap-4125	119	42	=	=	PUNCT
ap-4125	119	43	u′	u′	PROPN
ap-4125	119	44	sin	sin	NOUN
ap-4125	119	45	u√	u√	AUX
ap-4125	119	46	u′2	u′2	X
ap-4125	119	47	+	+	CCONJ
ap-4125	119	48	v′2	v′2	ADJ
ap-4125	119	49	sin2	sin2	PROPN
ap-4125	119	50	u	u	PROPN
ap-4125	119	51	,	,	PUNCT
ap-4125	119	52	ty	ty	PRON
ap-4125	119	53	=	=	PUNCT
ap-4125	119	54	u′	u′	PROPN
ap-4125	119	55	cosu	cosu	VERB
ap-4125	119	56	sin(v	sin(v	PROPN
ap-4125	119	57	+	+	CCONJ
ap-4125	119	58	ωt	ωt	PROPN
ap-4125	119	59	)	)	PUNCT
ap-4125	119	60	+	+	NUM
ap-4125	119	61	v′	v′	NOUN
ap-4125	119	62	sin	sin	VERB
ap-4125	119	63	u	u	NOUN
ap-4125	119	64	cos(v	cos(v	NOUN
ap-4125	119	65	+	+	CCONJ
ap-4125	119	66	ωt)√	ωt)√	PROPN
ap-4125	119	67	u′2	u′2	X
ap-4125	119	68	+	+	CCONJ
ap-4125	119	69	v′2	v′2	ADJ
ap-4125	119	70	sin2	sin2	PROPN
ap-4125	119	71	u	u	PROPN
ap-4125	119	72	,	,	PUNCT
ap-4125	119	73	tz	tz	PROPN
ap-4125	119	74	=	=	SYM
ap-4125	119	75	u′	u′	PROPN
ap-4125	119	76	cosu	cosu	VERB
ap-4125	119	77	cos(v	cos(v	NOUN
ap-4125	120	1	+	+	CCONJ
ap-4125	120	2	ωt)−	ωt)−	PUNCT
ap-4125	120	3	v′	v′	NOUN
ap-4125	120	4	sin	sin	NOUN
ap-4125	120	5	u	u	X
ap-4125	120	6	sin(v	sin(v	PROPN
ap-4125	120	7	+	+	CCONJ
ap-4125	120	8	ωt)√	ωt)√	PROPN
ap-4125	120	9	u′2	u′2	X
ap-4125	120	10	+	+	CCONJ
ap-4125	120	11	v′2	v′2	ADJ
ap-4125	120	12	sin2	sin2	PROPN
ap-4125	120	13	u	u	PROPN
ap-4125	120	14	.	.	PUNCT
ap-4125	121	1	(	(	PUNCT
ap-4125	121	2	10	10	NUM
ap-4125	121	3	)	)	PUNCT
ap-4125	121	4	203	203	NUM
ap-4125	121	5	s.	s.	PROPN
ap-4125	121	6	f.	f.	PROPN
ap-4125	121	7	pylypaka	pylypaka	PROPN
ap-4125	121	8	,	,	PUNCT
ap-4125	121	9	m.	m.	PROPN
ap-4125	121	10	e.	e.	PROPN
ap-4125	121	11	klendii	klendii	PROPN
ap-4125	121	12	,	,	PUNCT
ap-4125	121	13	o.	o.	PROPN
ap-4125	121	14	m.	m.	PROPN
ap-4125	121	15	klendii	klendii	PROPN
ap-4125	121	16	acta	acta	PROPN
ap-4125	121	17	polytechnica	polytechnica	PROPN
ap-4125	121	18	now	now	ADV
ap-4125	121	19	,	,	PUNCT
ap-4125	121	20	we	we	PRON
ap-4125	121	21	can	can	AUX
ap-4125	121	22	write	write	VERB
ap-4125	121	23	differential	differential	ADJ
ap-4125	121	24	equations	equation	NOUN
ap-4125	121	25	relative	relative	ADJ
ap-4125	121	26	to	to	ADP
ap-4125	121	27	particle	particle	NOUN
ap-4125	121	28	motion	motion	NOUN
ap-4125	121	29	taking	take	VERB
ap-4125	121	30	into	into	ADP
ap-4125	121	31	consideration	consideration	NOUN
ap-4125	121	32	the	the	DET
ap-4125	121	33	exerted	exert	VERB
ap-4125	121	34	weight	weight	NOUN
ap-4125	121	35	force	force	NOUN
ap-4125	121	36	(	(	PUNCT
ap-4125	121	37	8)	8)	NUM
ap-4125	121	38	,	,	PUNCT
ap-4125	121	39	surface	surface	NOUN
ap-4125	121	40	reaction	reaction	NOUN
ap-4125	121	41	~n	~n	NUM
ap-4125	121	42	and	and	CCONJ
ap-4125	121	43	friction	friction	NOUN
ap-4125	121	44	force	force	NOUN
ap-4125	121	45	f	f	PROPN
ap-4125	121	46	~n	~n	NUM
ap-4125	121	47	,	,	PUNCT
ap-4125	121	48	which	which	PRON
ap-4125	121	49	are	be	AUX
ap-4125	121	50	vectored	vectore	VERB
ap-4125	121	51	by	by	ADP
ap-4125	121	52	unit	unit	NOUN
ap-4125	121	53	vectors	vector	NOUN
ap-4125	121	54	(	(	PUNCT
ap-4125	121	55	9	9	NUM
ap-4125	121	56	)	)	PUNCT
ap-4125	121	57	and	and	CCONJ
ap-4125	121	58	(	(	PUNCT
ap-4125	121	59	10	10	NUM
ap-4125	121	60	)	)	PUNCT
ap-4125	121	61	.	.	PUNCT
ap-4125	122	1	the	the	DET
ap-4125	122	2	vector	vector	NOUN
ap-4125	122	3	equation	equation	NOUN
ap-4125	122	4	m	m	NOUN
ap-4125	122	5	~	~	PUNCT
ap-4125	122	6	w	w	PROPN
ap-4125	122	7	=	=	SYM
ap-4125	122	8	~f	~f	PROPN
ap-4125	122	9	is	be	AUX
ap-4125	122	10	written	write	VERB
ap-4125	122	11	in	in	ADP
ap-4125	122	12	projections	projection	NOUN
ap-4125	122	13	on	on	ADP
ap-4125	122	14	an	an	DET
ap-4125	122	15	axis	axis	NOUN
ap-4125	122	16	taking	take	VERB
ap-4125	122	17	into	into	ADP
ap-4125	122	18	consideration	consideration	NOUN
ap-4125	122	19	that	that	SCONJ
ap-4125	122	20	projections	projection	NOUN
ap-4125	122	21	of	of	ADP
ap-4125	122	22	a	a	DET
ap-4125	122	23	vector	vector	NOUN
ap-4125	122	24	of	of	ADP
ap-4125	122	25	an	an	DET
ap-4125	122	26	absolute	absolute	ADJ
ap-4125	122	27	acceleration	acceleration	NOUN
ap-4125	122	28	~w	~w	PUNCT
ap-4125	122	29	are	be	AUX
ap-4125	122	30	represented	represent	VERB
ap-4125	122	31	by	by	ADP
ap-4125	122	32	expressions	expression	NOUN
ap-4125	122	33	(	(	PUNCT
ap-4125	122	34	7	7	NUM
ap-4125	122	35	):	):	PUNCT
ap-4125	122	36	mx′′	mx′′	PROPN
ap-4125	122	37	=	=	SYM
ap-4125	122	38	n	n	PROPN
ap-4125	122	39	cosu−	cosu−	PRON
ap-4125	122	40	fn	fn	NOUN
ap-4125	122	41	u′	u′	PROPN
ap-4125	122	42	sin	sin	VERB
ap-4125	122	43	u√	u√	AUX
ap-4125	122	44	u′2	u′2	X
ap-4125	122	45	+	+	CCONJ
ap-4125	122	46	v′2	v′2	ADJ
ap-4125	122	47	sin2	sin2	PROPN
ap-4125	122	48	u	u	PROPN
ap-4125	122	49	,	,	PUNCT
ap-4125	122	50	my′′	my′′	NOUN
ap-4125	122	51	=	=	NOUN
ap-4125	123	1	−n	−n	ADJ
ap-4125	123	2	sin	sin	VERB
ap-4125	123	3	u	u	PROPN
ap-4125	123	4	sin(v	sin(v	PROPN
ap-4125	123	5	+	+	CCONJ
ap-4125	123	6	ωt	ωt	PROPN
ap-4125	123	7	)	)	PUNCT
ap-4125	123	8	−	−	PROPN
ap-4125	123	9	fn	fn	NOUN
ap-4125	123	10	u′	u′	PROPN
ap-4125	123	11	cosu	cosu	NOUN
ap-4125	123	12	sin(v	sin(v	PROPN
ap-4125	123	13	+	+	CCONJ
ap-4125	123	14	ωt	ωt	PROPN
ap-4125	123	15	)	)	PUNCT
ap-4125	123	16	+	+	NUM
ap-4125	123	17	v′	v′	NOUN
ap-4125	123	18	sin	sin	VERB
ap-4125	123	19	u	u	NOUN
ap-4125	123	20	cos(v	cos(v	NOUN
ap-4125	123	21	+	+	CCONJ
ap-4125	123	22	ωt)√	ωt)√	PROPN
ap-4125	123	23	u′2	u′2	X
ap-4125	123	24	+	+	CCONJ
ap-4125	123	25	v′2	v′2	ADJ
ap-4125	123	26	sin2	sin2	PROPN
ap-4125	123	27	u	u	PROPN
ap-4125	123	28	,	,	PUNCT
ap-4125	123	29	mz′′	mz′′	NOUN
ap-4125	123	30	=	=	SYM
ap-4125	123	31	−mg	−mg	NOUN
ap-4125	123	32	−n	−n	ADV
ap-4125	123	33	sin	sin	VERB
ap-4125	123	34	u	u	NOUN
ap-4125	123	35	cos(v	cos(v	NOUN
ap-4125	123	36	+	+	CCONJ
ap-4125	123	37	ωt	ωt	PROPN
ap-4125	123	38	)	)	PUNCT
ap-4125	123	39	−	−	PROPN
ap-4125	124	1	fn	fn	NOUN
ap-4125	125	1	u′	u′	PROPN
ap-4125	126	1	cosu	cosu	VERB
ap-4125	126	2	cos(v	cos(v	NOUN
ap-4125	127	1	+	+	CCONJ
ap-4125	127	2	ωt)−	ωt)−	PUNCT
ap-4125	127	3	v′	v′	NOUN
ap-4125	127	4	sin	sin	NOUN
ap-4125	127	5	u	u	X
ap-4125	127	6	sin(v	sin(v	PROPN
ap-4125	127	7	+	+	CCONJ
ap-4125	127	8	ωt)√	ωt)√	PROPN
ap-4125	127	9	u′2	u′2	X
ap-4125	127	10	+	+	CCONJ
ap-4125	127	11	v′2	v′2	ADJ
ap-4125	127	12	sin2	sin2	PROPN
ap-4125	127	13	u	u	PROPN
ap-4125	127	14	.	.	PUNCT
ap-4125	128	1	(	(	PUNCT
ap-4125	128	2	11	11	NUM
ap-4125	128	3	)	)	PUNCT
ap-4125	128	4	let	let	VERB
ap-4125	128	5	us	we	PRON
ap-4125	128	6	substitute	substitute	VERB
ap-4125	128	7	,	,	PUNCT
ap-4125	128	8	in	in	ADP
ap-4125	128	9	(	(	PUNCT
ap-4125	128	10	11	11	NUM
ap-4125	128	11	)	)	PUNCT
ap-4125	128	12	,	,	PUNCT
ap-4125	128	13	the	the	DET
ap-4125	128	14	expressions	expression	NOUN
ap-4125	128	15	of	of	ADP
ap-4125	128	16	other	other	ADJ
ap-4125	128	17	derivatives	derivative	NOUN
ap-4125	128	18	from	from	ADP
ap-4125	128	19	(	(	PUNCT
ap-4125	128	20	7	7	NUM
ap-4125	128	21	)	)	PUNCT
ap-4125	128	22	and	and	CCONJ
ap-4125	128	23	let	let	VERB
ap-4125	128	24	us	we	PRON
ap-4125	128	25	solve	solve	VERB
ap-4125	128	26	the	the	DET
ap-4125	128	27	system	system	NOUN
ap-4125	128	28	(	(	PUNCT
ap-4125	128	29	11	11	NUM
ap-4125	128	30	)	)	PUNCT
ap-4125	128	31	for	for	ADP
ap-4125	128	32	other	other	ADJ
ap-4125	128	33	unknown	unknown	ADJ
ap-4125	128	34	functions	function	NOUN
ap-4125	128	35	u	u	NOUN
ap-4125	128	36	=	=	SYM
ap-4125	128	37	u(t	u(t	NOUN
ap-4125	128	38	)	)	PUNCT
ap-4125	128	39	and	and	CCONJ
ap-4125	128	40	v	v	NOUN
ap-4125	128	41	=	=	SYM
ap-4125	128	42	v(t	v(t	NUM
ap-4125	128	43	)	)	PUNCT
ap-4125	128	44	,	,	PUNCT
ap-4125	128	45	as	as	ADV
ap-4125	128	46	well	well	ADV
ap-4125	128	47	as	as	ADP
ap-4125	128	48	n	n	NOUN
ap-4125	128	49	=	=	SYM
ap-4125	128	50	n(t	n(t	PROPN
ap-4125	128	51	)	)	PUNCT
ap-4125	128	52	.	.	PUNCT
ap-4125	129	1	as	as	ADP
ap-4125	129	2	a	a	DET
ap-4125	129	3	result	result	NOUN
ap-4125	129	4	of	of	ADP
ap-4125	129	5	simplifications	simplification	NOUN
ap-4125	129	6	we	we	PRON
ap-4125	129	7	obtain	obtain	VERB
ap-4125	129	8	:	:	PUNCT
ap-4125	129	9	u′′	u′′	PROPN
ap-4125	129	10	=	=	PUNCT
ap-4125	129	11	−fu′r(v′+ω)2	−fu′r(v′+ω)2	PROPN
ap-4125	129	12	sin2	sin2	PROPN
ap-4125	129	13	u+ru′2−g	u+ru′2−g	AUX
ap-4125	129	14	sin	sin	VERB
ap-4125	129	15	u	u	NOUN
ap-4125	129	16	cos(v+ωt	cos(v+ωt	NOUN
ap-4125	129	17	)	)	PUNCT
ap-4125	129	18	r	r	NOUN
ap-4125	129	19	√	√	NUM
ap-4125	129	20	u′2	u′2	NOUN
ap-4125	129	21	+	+	CCONJ
ap-4125	129	22	v′2	v′2	ADJ
ap-4125	129	23	sin2	sin2	NOUN
ap-4125	129	24	u	u	PROPN
ap-4125	129	25	+	+	CCONJ
ap-4125	129	26	cosu	cosu	NOUN
ap-4125	129	27	(	(	PUNCT
ap-4125	129	28	(	(	PUNCT
ap-4125	129	29	v′	v′	NOUN
ap-4125	129	30	+	+	PUNCT
ap-4125	129	31	ω)2	ω)2	NOUN
ap-4125	129	32	sin	sin	NOUN
ap-4125	129	33	u−	u−	PROPN
ap-4125	129	34	g	g	NOUN
ap-4125	129	35	r	r	NOUN
ap-4125	129	36	cos(v	cos(v	NOUN
ap-4125	129	37	+	+	CCONJ
ap-4125	129	38	ωt	ωt	PROPN
ap-4125	129	39	)	)	PUNCT
ap-4125	129	40	)	)	PUNCT
ap-4125	129	41	,	,	PUNCT
ap-4125	129	42	v′′	v′′	NOUN
ap-4125	129	43	=	=	SYM
ap-4125	129	44	−fv′r(v′+ω)2	−fv′r(v′+ω)2	SYM
ap-4125	129	45	sin2	sin2	NOUN
ap-4125	129	46	u+ru′2−g	u+ru′2−g	AUX
ap-4125	129	47	sin	sin	VERB
ap-4125	129	48	u	u	NOUN
ap-4125	129	49	cos(v+ωt	cos(v+ωt	NOUN
ap-4125	129	50	)	)	PUNCT
ap-4125	129	51	r	r	NOUN
ap-4125	129	52	√	√	NUM
ap-4125	129	53	u′2	u′2	NOUN
ap-4125	129	54	+	+	CCONJ
ap-4125	129	55	v′2	v′2	ADJ
ap-4125	129	56	sin2	sin2	NOUN
ap-4125	129	57	u	u	PROPN
ap-4125	129	58	+	+	CCONJ
ap-4125	129	59	g	g	PROPN
ap-4125	129	60	sin(v	sin(v	PROPN
ap-4125	129	61	+	+	CCONJ
ap-4125	129	62	ωt	ωt	PROPN
ap-4125	129	63	)	)	PUNCT
ap-4125	129	64	r	r	NOUN
ap-4125	129	65	sin	sin	NOUN
ap-4125	129	66	u	u	NOUN
ap-4125	129	67	−	−	PROPN
ap-4125	129	68	2u′(v′	2u′(v′	NUM
ap-4125	129	69	+	+	NUM
ap-4125	129	70	ω	ω	NUM
ap-4125	129	71	)	)	PUNCT
ap-4125	129	72	cosu	cosu	VERB
ap-4125	129	73	sin	sin	PROPN
ap-4125	129	74	u	u	PROPN
ap-4125	129	75	,	,	PUNCT
ap-4125	129	76	n	n	PROPN
ap-4125	129	77	=	=	SYM
ap-4125	129	78	m	m	PROPN
ap-4125	129	79	(	(	PUNCT
ap-4125	129	80	r(v′	r(v′	NOUN
ap-4125	129	81	+	+	CCONJ
ap-4125	129	82	ω)2	ω)2	NOUN
ap-4125	129	83	sin2	sin2	NOUN
ap-4125	129	84	u+ru′	u+ru′	NUM
ap-4125	129	85	2	2	NUM
ap-4125	129	86	−	−	NOUN
ap-4125	129	87	g	g	PROPN
ap-4125	129	88	sin	sin	NOUN
ap-4125	129	89	u	u	NOUN
ap-4125	129	90	cos(v	cos(v	NOUN
ap-4125	129	91	+	+	CCONJ
ap-4125	129	92	ωt	ωt	PROPN
ap-4125	129	93	)	)	PUNCT
ap-4125	129	94	)	)	PUNCT
ap-4125	129	95	.	.	PUNCT
ap-4125	130	1	(	(	PUNCT
ap-4125	130	2	12	12	NUM
ap-4125	130	3	)	)	PUNCT
ap-4125	130	4	expressions	expression	NOUN
ap-4125	130	5	(	(	PUNCT
ap-4125	130	6	12	12	NUM
ap-4125	130	7	)	)	PUNCT
ap-4125	130	8	should	should	AUX
ap-4125	130	9	be	be	AUX
ap-4125	130	10	viewed	view	VERB
ap-4125	130	11	as	as	ADP
ap-4125	130	12	a	a	DET
ap-4125	130	13	system	system	NOUN
ap-4125	130	14	of	of	ADP
ap-4125	130	15	the	the	DET
ap-4125	130	16	first	first	ADJ
ap-4125	130	17	two	two	NUM
ap-4125	130	18	equations	equation	NOUN
ap-4125	130	19	.	.	PUNCT
ap-4125	131	1	the	the	DET
ap-4125	131	2	third	third	ADJ
ap-4125	131	3	equation	equation	NOUN
ap-4125	131	4	—	—	PUNCT
ap-4125	131	5	surface	surface	NOUN
ap-4125	131	6	reaction	reaction	NOUN
ap-4125	131	7	—	—	PUNCT
ap-4125	131	8	becomes	become	VERB
ap-4125	131	9	known	know	VERB
ap-4125	131	10	after	after	ADP
ap-4125	131	11	solving	solve	VERB
ap-4125	131	12	the	the	DET
ap-4125	131	13	system	system	NOUN
ap-4125	131	14	of	of	ADP
ap-4125	131	15	the	the	DET
ap-4125	131	16	first	first	ADJ
ap-4125	131	17	two	two	NUM
ap-4125	131	18	equations	equation	NOUN
ap-4125	131	19	.	.	PUNCT
ap-4125	132	1	it	it	PRON
ap-4125	132	2	must	must	AUX
ap-4125	132	3	be	be	AUX
ap-4125	132	4	solved	solve	VERB
ap-4125	132	5	using	use	VERB
ap-4125	132	6	numerical	numerical	ADJ
ap-4125	132	7	methods	method	NOUN
ap-4125	132	8	.	.	PUNCT
ap-4125	133	1	initial	initial	ADJ
ap-4125	133	2	conditions	condition	NOUN
ap-4125	133	3	of	of	ADP
ap-4125	133	4	an	an	DET
ap-4125	133	5	integration	integration	NOUN
ap-4125	133	6	are	be	AUX
ap-4125	133	7	chosen	choose	VERB
ap-4125	133	8	proceeding	proceed	VERB
ap-4125	133	9	from	from	ADP
ap-4125	133	10	the	the	DET
ap-4125	133	11	point	point	NOUN
ap-4125	133	12	on	on	ADP
ap-4125	133	13	a	a	DET
ap-4125	133	14	blade	blade	NOUN
ap-4125	133	15	at	at	ADP
ap-4125	133	16	which	which	PRON
ap-4125	133	17	a	a	DET
ap-4125	133	18	particle	particle	NOUN
ap-4125	133	19	gets	get	VERB
ap-4125	133	20	onto	onto	ADP
ap-4125	133	21	a	a	DET
ap-4125	133	22	surface	surface	NOUN
ap-4125	133	23	.	.	PUNCT
ap-4125	134	1	this	this	DET
ap-4125	134	2	point	point	NOUN
ap-4125	134	3	can	can	AUX
ap-4125	134	4	be	be	AUX
ap-4125	134	5	chosen	choose	VERB
ap-4125	134	6	within	within	ADP
ap-4125	134	7	the	the	DET
ap-4125	134	8	limits	limit	NOUN
ap-4125	134	9	of	of	ADP
ap-4125	134	10	the	the	DET
ap-4125	134	11	soil	soil	NOUN
ap-4125	134	12	penetration	penetration	NOUN
ap-4125	134	13	depth	depth	NOUN
ap-4125	134	14	a	a	PRON
ap-4125	134	15	of	of	ADP
ap-4125	134	16	a	a	DET
ap-4125	134	17	disk	disk	NOUN
ap-4125	134	18	and	and	CCONJ
ap-4125	134	19	it	it	PRON
ap-4125	134	20	is	be	AUX
ap-4125	134	21	specified	specify	VERB
ap-4125	134	22	by	by	ADP
ap-4125	134	23	initial	initial	ADJ
ap-4125	134	24	coordinates	coordinate	NOUN
ap-4125	134	25	u	u	NOUN
ap-4125	134	26	and	and	CCONJ
ap-4125	134	27	v.	v.	X
ap-4125	134	28	at	at	ADP
ap-4125	134	29	u	u	NOUN
ap-4125	134	30	=	=	SYM
ap-4125	134	31	arcsin(r	arcsin(r	PROPN
ap-4125	134	32	/	/	SYM
ap-4125	134	33	r	r	NOUN
ap-4125	134	34	)	)	PUNCT
ap-4125	134	35	and	and	CCONJ
ap-4125	134	36	at	at	ADP
ap-4125	134	37	v	v	NOUN
ap-4125	134	38	=	=	SYM
ap-4125	134	39	π	π	NOUN
ap-4125	134	40	the	the	DET
ap-4125	134	41	point	point	NOUN
ap-4125	134	42	is	be	AUX
ap-4125	134	43	located	locate	VERB
ap-4125	134	44	in	in	ADP
ap-4125	134	45	the	the	DET
ap-4125	134	46	lowermost	lowermost	ADJ
ap-4125	134	47	part	part	NOUN
ap-4125	134	48	of	of	ADP
ap-4125	134	49	a	a	DET
ap-4125	134	50	disk	disk	NOUN
ap-4125	134	51	,	,	PUNCT
ap-4125	134	52	that	that	PRON
ap-4125	134	53	is	be	AUX
ap-4125	134	54	at	at	ADP
ap-4125	134	55	depth	depth	NOUN
ap-4125	134	56	a.	a.	NOUN
ap-4125	134	57	at	at	ADP
ap-4125	134	58	u	u	NOUN
ap-4125	134	59	=	=	SYM
ap-4125	134	60	arcsin(r	arcsin(r	PROPN
ap-4125	134	61	/	/	SYM
ap-4125	134	62	r	r	NOUN
ap-4125	134	63	)	)	PUNCT
ap-4125	134	64	and	and	CCONJ
ap-4125	134	65	at	at	ADP
ap-4125	134	66	v	v	NOUN
ap-4125	134	67	=	=	SYM
ap-4125	134	68	π	π	NOUN
ap-4125	134	69	−	−	PROPN
ap-4125	134	70	arccos((r	arccos((r	NUM
ap-4125	134	71	−	−	PROPN
ap-4125	134	72	a)/r	a)/r	PROPN
ap-4125	134	73	)	)	PUNCT
ap-4125	134	74	the	the	DET
ap-4125	134	75	point	point	NOUN
ap-4125	134	76	is	be	AUX
ap-4125	134	77	located	locate	VERB
ap-4125	134	78	in	in	ADP
ap-4125	134	79	such	such	ADJ
ap-4125	134	80	part	part	NOUN
ap-4125	134	81	of	of	ADP
ap-4125	134	82	a	a	DET
ap-4125	134	83	blade	blade	NOUN
ap-4125	134	84	,	,	PUNCT
ap-4125	134	85	where	where	SCONJ
ap-4125	134	86	it	it	PRON
ap-4125	134	87	meets	meet	VERB
ap-4125	134	88	a	a	DET
ap-4125	134	89	field	field	NOUN
ap-4125	134	90	surface	surface	NOUN
ap-4125	134	91	.	.	PUNCT
ap-4125	135	1	when	when	SCONJ
ap-4125	135	2	choosing	choose	VERB
ap-4125	135	3	the	the	DET
ap-4125	135	4	parameter	parameter	NOUN
ap-4125	135	5	v	v	NOUN
ap-4125	135	6	within	within	ADP
ap-4125	135	7	the	the	DET
ap-4125	135	8	specified	specify	VERB
ap-4125	135	9	limits	limit	NOUN
ap-4125	135	10	,	,	PUNCT
ap-4125	135	11	we	we	PRON
ap-4125	135	12	choose	choose	VERB
ap-4125	135	13	a	a	DET
ap-4125	135	14	point	point	NOUN
ap-4125	135	15	on	on	ADP
ap-4125	135	16	a	a	DET
ap-4125	135	17	blade	blade	NOUN
ap-4125	135	18	at	at	ADP
ap-4125	135	19	a	a	DET
ap-4125	135	20	digging	dig	VERB
ap-4125	135	21	depth	depth	NOUN
ap-4125	135	22	of	of	ADP
ap-4125	135	23	penetration	penetration	NOUN
ap-4125	135	24	.	.	PUNCT
ap-4125	136	1	the	the	DET
ap-4125	136	2	initial	initial	ADJ
ap-4125	136	3	value	value	NOUN
ap-4125	136	4	of	of	ADP
ap-4125	136	5	first	first	ADJ
ap-4125	136	6	-	-	PUNCT
ap-4125	136	7	order	order	NOUN
ap-4125	136	8	derivatives	derivative	NOUN
ap-4125	136	9	u′	u′	PROPN
ap-4125	136	10	and	and	CCONJ
ap-4125	136	11	v′	v′	PROPN
ap-4125	136	12	determine	determine	VERB
ap-4125	136	13	the	the	DET
ap-4125	136	14	direction	direction	NOUN
ap-4125	136	15	of	of	ADP
ap-4125	136	16	the	the	DET
ap-4125	136	17	particle	particle	NOUN
ap-4125	136	18	entering	enter	VERB
ap-4125	136	19	a	a	DET
ap-4125	136	20	surface	surface	NOUN
ap-4125	136	21	.	.	PUNCT
ap-4125	137	1	at	at	ADP
ap-4125	137	2	u	u	NOUN
ap-4125	137	3	=	=	PROPN
ap-4125	137	4	arccos(r	arccos(r	PROPN
ap-4125	137	5	/	/	SYM
ap-4125	137	6	r)−	r)−	PROPN
ap-4125	137	7	const	const	NOUN
ap-4125	137	8	.	.	PUNCT
ap-4125	138	1	and	and	CCONJ
ap-4125	138	2	a	a	DET
ap-4125	138	3	change	change	NOUN
ap-4125	138	4	of	of	ADP
ap-4125	138	5	the	the	DET
ap-4125	138	6	independent	independent	ADJ
ap-4125	138	7	value	value	NOUN
ap-4125	138	8	v	v	NOUN
ap-4125	138	9	,	,	PUNCT
ap-4125	138	10	a	a	DET
ap-4125	138	11	circle	circle	NOUN
ap-4125	138	12	—	—	PUNCT
ap-4125	138	13	disk	disk	NOUN
ap-4125	138	14	periphery	periphery	NOUN
ap-4125	138	15	—	—	PUNCT
ap-4125	138	16	is	be	AUX
ap-4125	138	17	described	describe	VERB
ap-4125	138	18	on	on	ADP
ap-4125	138	19	a	a	DET
ap-4125	138	20	surface	surface	NOUN
ap-4125	138	21	.	.	PUNCT
ap-4125	139	1	the	the	DET
ap-4125	139	2	derivative	derivative	ADJ
ap-4125	139	3	v′	v′	NOUN
ap-4125	139	4	represents	represent	VERB
ap-4125	139	5	the	the	DET
ap-4125	139	6	angular	angular	ADJ
ap-4125	139	7	velocity	velocity	NOUN
ap-4125	139	8	of	of	ADP
ap-4125	139	9	particle	particle	NOUN
ap-4125	139	10	sliding	slide	VERB
ap-4125	139	11	at	at	ADP
ap-4125	139	12	the	the	DET
ap-4125	139	13	moment	moment	NOUN
ap-4125	139	14	of	of	ADP
ap-4125	139	15	it	it	PRON
ap-4125	139	16	getting	get	VERB
ap-4125	139	17	onto	onto	ADP
ap-4125	139	18	a	a	DET
ap-4125	139	19	blade	blade	NOUN
ap-4125	139	20	.	.	PUNCT
ap-4125	140	1	since	since	SCONJ
ap-4125	140	2	,	,	PUNCT
ap-4125	140	3	before	before	ADP
ap-4125	140	4	entering	enter	VERB
ap-4125	140	5	a	a	DET
ap-4125	140	6	disk	disk	NOUN
ap-4125	140	7	,	,	PUNCT
ap-4125	140	8	a	a	DET
ap-4125	140	9	particle	particle	NOUN
ap-4125	140	10	is	be	AUX
ap-4125	140	11	stationary	stationary	ADJ
ap-4125	140	12	,	,	PUNCT
ap-4125	140	13	then	then	ADV
ap-4125	140	14	,	,	PUNCT
ap-4125	140	15	relative	relative	ADJ
ap-4125	140	16	to	to	ADP
ap-4125	140	17	a	a	DET
ap-4125	140	18	disk	disk	NOUN
ap-4125	140	19	,	,	PUNCT
ap-4125	140	20	which	which	PRON
ap-4125	140	21	rotates	rotate	VERB
ap-4125	140	22	with	with	ADP
ap-4125	140	23	angular	angular	ADJ
ap-4125	140	24	velocity	velocity	NOUN
ap-4125	140	25	being	be	AUX
ap-4125	140	26	ω	ω	X
ap-4125	140	27	=	=	SYM
ap-4125	140	28	vm	vm	PROPN
ap-4125	140	29	cosα	cosα	PROPN
ap-4125	140	30	/	/	SYM
ap-4125	140	31	r	r	NOUN
ap-4125	140	32	,	,	PUNCT
ap-4125	140	33	we	we	PRON
ap-4125	140	34	assume	assume	VERB
ap-4125	140	35	v′	v′	NOUN
ap-4125	140	36	=	=	SYM
ap-4125	140	37	−ω	−ω	NOUN
ap-4125	140	38	.	.	PUNCT
ap-4125	141	1	if	if	SCONJ
ap-4125	141	2	a	a	DET
ap-4125	141	3	disk	disk	NOUN
ap-4125	141	4	rotated	rotate	VERB
ap-4125	141	5	and	and	CCONJ
ap-4125	141	6	a	a	DET
ap-4125	141	7	particle	particle	NOUN
ap-4125	141	8	remained	remain	VERB
ap-4125	141	9	in	in	ADP
ap-4125	141	10	place	place	NOUN
ap-4125	141	11	,	,	PUNCT
ap-4125	141	12	the	the	DET
ap-4125	141	13	velocity	velocity	NOUN
ap-4125	141	14	of	of	ADP
ap-4125	141	15	sliding	slide	VERB
ap-4125	141	16	on	on	ADP
ap-4125	141	17	a	a	DET
ap-4125	141	18	blade	blade	NOUN
ap-4125	141	19	would	would	AUX
ap-4125	141	20	be	be	AUX
ap-4125	141	21	stabilized	stabilize	VERB
ap-4125	141	22	,	,	PUNCT
ap-4125	141	23	opposite	opposite	ADV
ap-4125	141	24	to	to	ADP
ap-4125	141	25	the	the	DET
ap-4125	141	26	direction	direction	NOUN
ap-4125	141	27	of	of	ADP
ap-4125	141	28	disk	disk	NOUN
ap-4125	141	29	rotation	rotation	NOUN
ap-4125	141	30	and	and	CCONJ
ap-4125	141	31	would	would	AUX
ap-4125	141	32	be	be	AUX
ap-4125	141	33	equal	equal	ADJ
ap-4125	141	34	to	to	ADP
ap-4125	141	35	v′	v′	NOUN
ap-4125	141	36	=	=	PUNCT
ap-4125	142	1	−ω	−ω	NOUN
ap-4125	142	2	.	.	PUNCT
ap-4125	143	1	but	but	CCONJ
ap-4125	143	2	it	it	PRON
ap-4125	143	3	happens	happen	VERB
ap-4125	143	4	only	only	ADV
ap-4125	143	5	at	at	ADP
ap-4125	143	6	the	the	DET
ap-4125	143	7	moment	moment	NOUN
ap-4125	143	8	of	of	ADP
ap-4125	143	9	particle	particle	NOUN
ap-4125	143	10	getting	get	VERB
ap-4125	143	11	onto	onto	ADP
ap-4125	143	12	a	a	DET
ap-4125	143	13	blade	blade	NOUN
ap-4125	143	14	,	,	PUNCT
ap-4125	143	15	after	after	SCONJ
ap-4125	143	16	that	that	SCONJ
ap-4125	143	17	the	the	DET
ap-4125	143	18	particle	particle	NOUN
ap-4125	143	19	is	be	AUX
ap-4125	143	20	trapped	trap	VERB
ap-4125	143	21	by	by	ADP
ap-4125	143	22	a	a	DET
ap-4125	143	23	surface	surface	NOUN
ap-4125	143	24	,	,	PUNCT
ap-4125	143	25	moves	move	NOUN
ap-4125	143	26	along	along	ADP
ap-4125	143	27	it	it	PRON
ap-4125	143	28	and	and	CCONJ
ap-4125	143	29	the	the	DET
ap-4125	143	30	angular	angular	ADJ
ap-4125	143	31	velocity	velocity	NOUN
ap-4125	143	32	of	of	ADP
ap-4125	143	33	sliding	slide	VERB
ap-4125	143	34	decreases	decrease	NOUN
ap-4125	143	35	.	.	PUNCT
ap-4125	144	1	derivative	derivative	ADJ
ap-4125	144	2	u′	u′	PROPN
ap-4125	144	3	represents	represent	VERB
ap-4125	144	4	angular	angular	ADJ
ap-4125	144	5	velocity	velocity	NOUN
ap-4125	144	6	of	of	ADP
ap-4125	144	7	particle	particle	NOUN
ap-4125	144	8	motion	motion	NOUN
ap-4125	144	9	along	along	ADP
ap-4125	144	10	a	a	DET
ap-4125	144	11	coordinate	coordinate	NOUN
ap-4125	144	12	line	line	NOUN
ap-4125	144	13	(	(	PUNCT
ap-4125	144	14	angle	angle	NOUN
ap-4125	144	15	)	)	PUNCT
ap-4125	144	16	u	u	NOUN
ap-4125	144	17	,	,	PUNCT
ap-4125	144	18	that	that	PRON
ap-4125	144	19	is	be	AUX
ap-4125	144	20	to	to	PART
ap-4125	144	21	say	say	VERB
ap-4125	144	22	,	,	PUNCT
ap-4125	144	23	along	along	ADP
ap-4125	144	24	the	the	DET
ap-4125	144	25	meridian	meridian	PROPN
ap-4125	144	26	,	,	PUNCT
ap-4125	144	27	which	which	PRON
ap-4125	144	28	goes	go	VERB
ap-4125	144	29	from	from	ADP
ap-4125	144	30	the	the	DET
ap-4125	144	31	point	point	NOUN
ap-4125	144	32	on	on	ADP
ap-4125	144	33	a	a	DET
ap-4125	144	34	blade	blade	NOUN
ap-4125	144	35	to	to	ADP
ap-4125	144	36	the	the	DET
ap-4125	144	37	centre	centre	NOUN
ap-4125	144	38	of	of	ADP
ap-4125	144	39	a	a	DET
ap-4125	144	40	disk	disk	NOUN
ap-4125	144	41	.	.	PUNCT
ap-4125	145	1	let	let	VERB
ap-4125	145	2	us	we	PRON
ap-4125	145	3	assume	assume	VERB
ap-4125	145	4	that	that	SCONJ
ap-4125	145	5	linear	linear	ADJ
ap-4125	145	6	velocity	velocity	NOUN
ap-4125	145	7	of	of	ADP
ap-4125	145	8	particle	particle	NOUN
ap-4125	145	9	motion	motion	NOUN
ap-4125	145	10	in	in	ADP
ap-4125	145	11	a	a	DET
ap-4125	145	12	meridian	meridian	ADJ
ap-4125	145	13	line	line	NOUN
ap-4125	145	14	,	,	PUNCT
ap-4125	145	15	which	which	PRON
ap-4125	145	16	is	be	AUX
ap-4125	145	17	determined	determine	VERB
ap-4125	145	18	by	by	ADP
ap-4125	145	19	expression	expression	NOUN
ap-4125	145	20	ru′	ru′	ADV
ap-4125	145	21	,	,	PUNCT
ap-4125	145	22	is	be	AUX
ap-4125	145	23	equal	equal	ADJ
ap-4125	145	24	to	to	PART
ap-4125	145	25	cross	cross	VERB
ap-4125	145	26	stream	stream	PROPN
ap-4125	145	27	velocity	velocity	NOUN
ap-4125	145	28	component	component	NOUN
ap-4125	145	29	of	of	ADP
ap-4125	145	30	machine	machine	NOUN
ap-4125	145	31	movement	movement	NOUN
ap-4125	145	32	,	,	PUNCT
ap-4125	145	33	that	that	PRON
ap-4125	145	34	isvm	isvm	NOUN
ap-4125	145	35	sinα	sinα	NOUN
ap-4125	145	36	.	.	PUNCT
ap-4125	146	1	hence	hence	ADV
ap-4125	146	2	,	,	PUNCT
ap-4125	146	3	we	we	PRON
ap-4125	146	4	obtain	obtain	VERB
ap-4125	146	5	the	the	DET
ap-4125	146	6	initial	initial	ADJ
ap-4125	146	7	value	value	NOUN
ap-4125	146	8	of	of	ADP
ap-4125	146	9	u′	u′	PROPN
ap-4125	146	10	as	as	ADP
ap-4125	146	11	u′	u′	PROPN
ap-4125	146	12	=	=	SYM
ap-4125	146	13	vm	vm	PROPN
ap-4125	146	14	sinα	sinα	PROPN
ap-4125	146	15	/	/	SYM
ap-4125	146	16	r.	r.	PROPN
ap-4125	146	17	3	3	NUM
ap-4125	146	18	.	.	PUNCT
ap-4125	147	1	results	result	NOUN
ap-4125	147	2	when	when	SCONJ
ap-4125	147	3	conducting	conduct	VERB
ap-4125	147	4	the	the	DET
ap-4125	147	5	research	research	NOUN
ap-4125	147	6	,	,	PUNCT
ap-4125	147	7	it	it	PRON
ap-4125	147	8	was	be	AUX
ap-4125	147	9	assumed	assume	VERB
ap-4125	147	10	that	that	SCONJ
ap-4125	147	11	a	a	DET
ap-4125	147	12	machine	machine	NOUN
ap-4125	147	13	moves	move	VERB
ap-4125	147	14	at	at	ADP
ap-4125	147	15	9	9	NUM
ap-4125	147	16	km	km	NOUN
ap-4125	147	17	/	/	SYM
ap-4125	147	18	h	h	NOUN
ap-4125	147	19	=	=	NOUN
ap-4125	147	20	2.5	2.5	NUM
ap-4125	147	21	m/s	m/s	PROPN
ap-4125	147	22	,	,	PUNCT
ap-4125	147	23	an	an	DET
ap-4125	147	24	incidence	incidence	NOUN
ap-4125	147	25	angle	angle	NOUN
ap-4125	147	26	is	be	AUX
ap-4125	147	27	α	α	NOUN
ap-4125	147	28	=	=	ADJ
ap-4125	147	29	20	20	NUM
ap-4125	147	30	°	°	NUM
ap-4125	147	31	,	,	PUNCT
ap-4125	147	32	design	design	NOUN
ap-4125	147	33	parameters	parameter	NOUN
ap-4125	147	34	of	of	ADP
ap-4125	147	35	a	a	DET
ap-4125	147	36	disk	disk	NOUN
ap-4125	147	37	are	be	AUX
ap-4125	148	1	r	r	NOUN
ap-4125	148	2	=	=	SYM
ap-4125	148	3	0.5	0.5	NUM
ap-4125	148	4	m	m	NOUN
ap-4125	148	5	,	,	PUNCT
ap-4125	148	6	r	r	NOUN
ap-4125	148	7	=	=	SYM
ap-4125	148	8	0.225	0.225	NUM
ap-4125	148	9	m	m	NOUN
ap-4125	148	10	,	,	PUNCT
ap-4125	148	11	tillage	tillage	NOUN
ap-4125	148	12	depth	depth	NOUN
ap-4125	148	13	is	be	AUX
ap-4125	148	14	a	a	DET
ap-4125	148	15	=	=	SYM
ap-4125	148	16	0.08	0.08	NUM
ap-4125	148	17	m.	m.	NOUN
ap-4125	148	18	using	use	VERB
ap-4125	148	19	the	the	DET
ap-4125	148	20	deduced	deduce	VERB
ap-4125	148	21	dependences	dependence	NOUN
ap-4125	148	22	,	,	PUNCT
ap-4125	148	23	we	we	PRON
ap-4125	148	24	determine	determine	VERB
ap-4125	148	25	initial	initial	ADJ
ap-4125	148	26	conditions	condition	NOUN
ap-4125	148	27	of	of	ADP
ap-4125	148	28	the	the	DET
ap-4125	148	29	integration	integration	NOUN
ap-4125	148	30	u	u	NOUN
ap-4125	148	31	=	=	PROPN
ap-4125	148	32	0.47	0.47	NUM
ap-4125	148	33	rad	rad	NOUN
ap-4125	148	34	;	;	PUNCT
ap-4125	148	35	v	v	NOUN
ap-4125	148	36	=	=	SYM
ap-4125	148	37	2.27	2.27	NUM
ap-4125	148	38	–	–	PUNCT
ap-4125	148	39	π	π	PROPN
ap-4125	148	40	(	(	PUNCT
ap-4125	148	41	depending	depend	VERB
ap-4125	148	42	on	on	ADP
ap-4125	148	43	the	the	DET
ap-4125	148	44	depth	depth	NOUN
ap-4125	148	45	,	,	PUNCT
ap-4125	148	46	at	at	ADP
ap-4125	148	47	which	which	PRON
ap-4125	148	48	a	a	DET
ap-4125	148	49	particle	particle	NOUN
ap-4125	148	50	enters	enter	VERB
ap-4125	148	51	a	a	DET
ap-4125	148	52	disk	disk	NOUN
ap-4125	148	53	blade	blade	NOUN
ap-4125	148	54	)	)	PUNCT
ap-4125	148	55	;	;	PUNCT
ap-4125	148	56	u′	u′	X
ap-4125	148	57	=	=	NOUN
ap-4125	148	58	1.72	1.72	NUM
ap-4125	148	59	s−1	s−1	PROPN
ap-4125	148	60	;	;	PUNCT
ap-4125	148	61	v′	v′	X
ap-4125	148	62	=	=	SYM
ap-4125	148	63	−ω	−ω	ADJ
ap-4125	148	64	=	=	SYM
ap-4125	148	65	−10.4	−10.4	NOUN
ap-4125	148	66	s−1	s−1	PROPN
ap-4125	148	67	.	.	PUNCT
ap-4125	149	1	as	as	ADP
ap-4125	149	2	a	a	DET
ap-4125	149	3	result	result	NOUN
ap-4125	149	4	of	of	ADP
ap-4125	149	5	a	a	DET
ap-4125	149	6	numerical	numerical	ADJ
ap-4125	149	7	integration	integration	NOUN
ap-4125	149	8	of	of	ADP
ap-4125	149	9	the	the	DET
ap-4125	149	10	system	system	NOUN
ap-4125	149	11	(	(	PUNCT
ap-4125	149	12	12	12	NUM
ap-4125	149	13	)	)	PUNCT
ap-4125	149	14	relative	relative	NOUN
ap-4125	149	15	(	(	PUNCT
ap-4125	149	16	following	follow	VERB
ap-4125	149	17	formulas	formula	NOUN
ap-4125	149	18	(	(	PUNCT
ap-4125	149	19	1	1	NUM
ap-4125	149	20	)	)	PUNCT
ap-4125	149	21	)	)	PUNCT
ap-4125	149	22	and	and	CCONJ
ap-4125	149	23	absolute	absolute	ADJ
ap-4125	149	24	(	(	PUNCT
ap-4125	149	25	following	follow	VERB
ap-4125	149	26	formulas	formula	NOUN
ap-4125	149	27	(	(	PUNCT
ap-4125	149	28	5	5	NUM
ap-4125	149	29	)	)	PUNCT
ap-4125	149	30	)	)	PUNCT
ap-4125	149	31	trajectories	trajectory	NOUN
ap-4125	149	32	of	of	ADP
ap-4125	149	33	particle	particle	NOUN
ap-4125	149	34	motion	motion	NOUN
ap-4125	149	35	have	have	AUX
ap-4125	149	36	been	be	AUX
ap-4125	149	37	made	make	VERB
ap-4125	149	38	.	.	PUNCT
ap-4125	150	1	they	they	PRON
ap-4125	150	2	are	be	AUX
ap-4125	150	3	shown	show	VERB
ap-4125	150	4	in	in	ADP
ap-4125	150	5	figure	figure	NOUN
ap-4125	150	6	3a	3a	NUM
ap-4125	150	7	from	from	ADP
ap-4125	150	8	the	the	DET
ap-4125	150	9	view	view	NOUN
ap-4125	150	10	point	point	NOUN
ap-4125	150	11	,	,	PUNCT
ap-4125	150	12	which	which	DET
ap-4125	150	13	direction	direction	NOUN
ap-4125	150	14	is	be	AUX
ap-4125	150	15	perpendicular	perpendicular	ADJ
ap-4125	150	16	to	to	ADP
ap-4125	150	17	a	a	DET
ap-4125	150	18	blade	blade	NOUN
ap-4125	150	19	surface	surface	NOUN
ap-4125	150	20	.	.	PUNCT
ap-4125	151	1	full	full	ADJ
ap-4125	151	2	lines	line	NOUN
ap-4125	151	3	show	show	VERB
ap-4125	151	4	trajectories	trajectory	NOUN
ap-4125	151	5	of	of	ADP
ap-4125	151	6	absolute	absolute	ADJ
ap-4125	151	7	motion	motion	NOUN
ap-4125	151	8	of	of	ADP
ap-4125	151	9	a	a	DET
ap-4125	151	10	particle	particle	NOUN
ap-4125	151	11	,	,	PUNCT
ap-4125	151	12	which	which	PRON
ap-4125	151	13	gets	get	VERB
ap-4125	151	14	onto	onto	ADP
ap-4125	151	15	a	a	DET
ap-4125	151	16	blade	blade	NOUN
ap-4125	151	17	at	at	ADP
ap-4125	151	18	a	a	DET
ap-4125	151	19	digging	dig	VERB
ap-4125	151	20	depth	depth	NOUN
ap-4125	151	21	and	and	CCONJ
ap-4125	151	22	dashed	dash	VERB
ap-4125	151	23	lines	line	NOUN
ap-4125	151	24	show	show	VERB
ap-4125	151	25	relative	relative	ADJ
ap-4125	151	26	trajectories	trajectory	NOUN
ap-4125	151	27	,	,	PUNCT
ap-4125	151	28	that	that	PRON
ap-4125	151	29	is	be	AUX
ap-4125	151	30	to	to	PART
ap-4125	151	31	say	say	VERB
ap-4125	151	32	,	,	PUNCT
ap-4125	151	33	trajectories	trajectory	NOUN
ap-4125	151	34	of	of	ADP
ap-4125	151	35	a	a	DET
ap-4125	151	36	particle	particle	NOUN
ap-4125	151	37	sliding	slide	VERB
ap-4125	151	38	on	on	ADP
ap-4125	151	39	a	a	DET
ap-4125	151	40	disk	disk	NOUN
ap-4125	151	41	.	.	PUNCT
ap-4125	152	1	it	it	PRON
ap-4125	152	2	is	be	AUX
ap-4125	152	3	to	to	PART
ap-4125	152	4	be	be	AUX
ap-4125	152	5	recalled	recall	VERB
ap-4125	152	6	that	that	SCONJ
ap-4125	152	7	we	we	PRON
ap-4125	152	8	have	have	AUX
ap-4125	152	9	accepted	accept	VERB
ap-4125	152	10	a	a	DET
ap-4125	152	11	geometric	geometric	ADJ
ap-4125	152	12	model	model	NOUN
ap-4125	152	13	,	,	PUNCT
ap-4125	152	14	according	accord	VERB
ap-4125	152	15	to	to	ADP
ap-4125	152	16	which	which	PRON
ap-4125	152	17	a	a	DET
ap-4125	152	18	disk	disk	NOUN
ap-4125	152	19	rotates	rotate	VERB
ap-4125	152	20	about	about	ADP
ap-4125	152	21	a	a	DET
ap-4125	152	22	horizontal	horizontal	ADJ
ap-4125	152	23	axis	axis	NOUN
ap-4125	152	24	but	but	CCONJ
ap-4125	152	25	does	do	AUX
ap-4125	152	26	not	not	PART
ap-4125	152	27	move	move	VERB
ap-4125	152	28	on	on	ADP
ap-4125	152	29	the	the	DET
ap-4125	152	30	field	field	NOUN
ap-4125	152	31	.	.	PUNCT
ap-4125	153	1	instead	instead	ADV
ap-4125	153	2	,	,	PUNCT
ap-4125	153	3	a	a	DET
ap-4125	153	4	particle	particle	NOUN
ap-4125	153	5	is	be	AUX
ap-4125	153	6	delivered	deliver	VERB
ap-4125	153	7	on	on	ADP
ap-4125	153	8	it	it	PRON
ap-4125	153	9	at	at	ADP
ap-4125	153	10	an	an	DET
ap-4125	153	11	incidence	incidence	NOUN
ap-4125	153	12	at	at	ADP
ap-4125	153	13	the	the	DET
ap-4125	153	14	specified	specified	ADJ
ap-4125	153	15	initial	initial	ADJ
ap-4125	153	16	velocity	velocity	NOUN
ap-4125	153	17	vm	vm	PROPN
ap-4125	153	18	,	,	PUNCT
ap-4125	153	19	which	which	PRON
ap-4125	153	20	falls	fall	VERB
ap-4125	153	21	into	into	ADP
ap-4125	153	22	two	two	NUM
ap-4125	153	23	components	component	NOUN
ap-4125	153	24	:	:	PUNCT
ap-4125	153	25	longitudinal	longitudinal	ADJ
ap-4125	153	26	and	and	CCONJ
ap-4125	153	27	transverse	transverse	NOUN
ap-4125	153	28	.	.	PUNCT
ap-4125	154	1	trajectories	trajectory	NOUN
ap-4125	154	2	of	of	ADP
ap-4125	154	3	sliding	slide	VERB
ap-4125	154	4	(	(	PUNCT
ap-4125	154	5	dashed	dash	VERB
ap-4125	154	6	lines	line	NOUN
ap-4125	154	7	)	)	PUNCT
ap-4125	154	8	are	be	AUX
ap-4125	154	9	not	not	PART
ap-4125	154	10	interesting	interesting	ADJ
ap-4125	154	11	for	for	ADP
ap-4125	154	12	the	the	DET
ap-4125	154	13	investigation	investigation	NOUN
ap-4125	154	14	,	,	PUNCT
ap-4125	154	15	but	but	CCONJ
ap-4125	154	16	absolute	absolute	ADJ
ap-4125	154	17	trajectories	trajectory	NOUN
ap-4125	154	18	(	(	PUNCT
ap-4125	154	19	full	full	ADJ
ap-4125	154	20	lines	line	NOUN
ap-4125	154	21	)	)	PUNCT
ap-4125	154	22	give	give	VERB
ap-4125	154	23	us	we	PRON
ap-4125	154	24	an	an	DET
ap-4125	154	25	idea	idea	NOUN
ap-4125	154	26	how	how	SCONJ
ap-4125	154	27	particles	particle	NOUN
ap-4125	154	28	move	move	VERB
ap-4125	154	29	relative	relative	ADJ
ap-4125	154	30	to	to	ADP
ap-4125	154	31	the	the	DET
ap-4125	154	32	disk	disk	NOUN
ap-4125	154	33	projection	projection	NOUN
ap-4125	154	34	,	,	PUNCT
ap-4125	154	35	particularly	particularly	ADV
ap-4125	154	36	their	their	PRON
ap-4125	154	37	rise	rise	NOUN
ap-4125	154	38	height	height	NOUN
ap-4125	154	39	.	.	PUNCT
ap-4125	155	1	figure	figure	NOUN
ap-4125	155	2	3b	3b	PROPN
ap-4125	155	3	illustrates	illustrate	VERB
ap-4125	155	4	absolute	absolute	ADJ
ap-4125	155	5	trajectories	trajectory	NOUN
ap-4125	155	6	of	of	ADP
ap-4125	155	7	particle	particle	NOUN
ap-4125	155	8	motion	motion	NOUN
ap-4125	155	9	when	when	SCONJ
ap-4125	155	10	they	they	PRON
ap-4125	155	11	get	get	VERB
ap-4125	155	12	onto	onto	ADP
ap-4125	155	13	a	a	DET
ap-4125	155	14	disk	disk	NOUN
ap-4125	155	15	at	at	ADP
ap-4125	155	16	the	the	DET
ap-4125	155	17	same	same	ADJ
ap-4125	155	18	penetration	penetration	NOUN
ap-4125	155	19	depth	depth	NOUN
ap-4125	155	20	as	as	SCONJ
ap-4125	155	21	we	we	PRON
ap-4125	155	22	have	have	VERB
ap-4125	155	23	in	in	ADP
ap-4125	155	24	the	the	DET
ap-4125	155	25	first	first	ADJ
ap-4125	155	26	case	case	NOUN
ap-4125	155	27	,	,	PUNCT
ap-4125	155	28	but	but	CCONJ
ap-4125	155	29	at	at	ADP
ap-4125	155	30	an	an	DET
ap-4125	155	31	incidence	incidence	NOUN
ap-4125	155	32	angle	angle	NOUN
ap-4125	155	33	being	being	NOUN
ap-4125	155	34	of	of	ADP
ap-4125	155	35	α	α	NOUN
ap-4125	155	36	=	=	SYM
ap-4125	155	37	30	30	NUM
ap-4125	155	38	°	°	NUM
ap-4125	155	39	.	.	PUNCT
ap-4125	155	40	initial	initial	ADJ
ap-4125	155	41	conditions	condition	NOUN
ap-4125	155	42	of	of	ADP
ap-4125	155	43	the	the	DET
ap-4125	155	44	integration	integration	NOUN
ap-4125	155	45	are	be	AUX
ap-4125	155	46	chosen	choose	VERB
ap-4125	155	47	according	accord	VERB
ap-4125	155	48	to	to	ADP
ap-4125	155	49	this	this	DET
ap-4125	155	50	angle	angle	NOUN
ap-4125	155	51	at	at	ADP
ap-4125	155	52	previous	previous	ADJ
ap-4125	155	53	velocity	velocity	NOUN
ap-4125	155	54	of	of	ADP
ap-4125	155	55	machine	machine	NOUN
ap-4125	155	56	movement	movement	NOUN
ap-4125	155	57	:	:	PUNCT
ap-4125	155	58	u′	u′	X
ap-4125	155	59	=	=	NOUN
ap-4125	155	60	2.5	2.5	NUM
ap-4125	155	61	s−1	s−1	PROPN
ap-4125	155	62	;	;	PUNCT
ap-4125	155	63	v′	v′	X
ap-4125	155	64	=	=	SYM
ap-4125	156	1	−ω	−ω	NOUN
ap-4125	156	2	=	=	PUNCT
ap-4125	156	3	−9.6	−9.6	X
ap-4125	156	4	s−1	s−1	PROPN
ap-4125	156	5	.	.	PUNCT
ap-4125	157	1	figure	figure	NOUN
ap-4125	157	2	3b	3b	NOUN
ap-4125	157	3	shows	show	VERB
ap-4125	157	4	that	that	SCONJ
ap-4125	157	5	the	the	DET
ap-4125	157	6	rise	rise	NOUN
ap-4125	157	7	204	204	NUM
ap-4125	157	8	vol	vol	NOUN
ap-4125	157	9	.	.	PUNCT
ap-4125	157	10	58	58	NUM
ap-4125	157	11	no	no	NOUN
ap-4125	157	12	.	.	PUNCT
ap-4125	158	1	3/2018	3/2018	NUM
ap-4125	158	2	particle	particle	NOUN
ap-4125	158	3	motion	motion	NOUN
ap-4125	158	4	on	on	ADP
ap-4125	158	5	the	the	DET
ap-4125	158	6	surface	surface	NOUN
ap-4125	158	7	of	of	ADP
ap-4125	158	8	a	a	DET
ap-4125	158	9	concave	concave	ADJ
ap-4125	158	10	soil	soil	NOUN
ap-4125	158	11	-	-	PUNCT
ap-4125	158	12	tilling	till	VERB
ap-4125	158	13	disk	disk	NOUN
ap-4125	158	14	a	a	DET
ap-4125	158	15	disk	disk	NOUN
ap-4125	158	16	and	and	CCONJ
ap-4125	158	17	it	it	PRON
ap-4125	158	18	is	be	AUX
ap-4125	158	19	specified	specify	VERB
ap-4125	158	20	by	by	ADP
ap-4125	158	21	initial	initial	ADJ
ap-4125	158	22	coordinates	coordinate	NOUN
ap-4125	158	23	u	u	NOUN
ap-4125	158	24	and	and	CCONJ
ap-4125	158	25	v.	v.	ADP
ap-4125	158	26	at	at	ADP
ap-4125	158	27	)	)	PUNCT
ap-4125	158	28	/arcsin	/arcsin	PROPN
ap-4125	159	1	(	(	PUNCT
ap-4125	159	2	rru	rru	NOUN
ap-4125	159	3			PROPN
ap-4125	159	4	and	and	CCONJ
ap-4125	159	5	at	at	ADP
ap-4125	159	6	v	v	NOUN
ap-4125	159	7	=	=	NOUN
ap-4125	159	8	π	π	NOUN
ap-4125	159	9	the	the	DET
ap-4125	159	10	point	point	NOUN
ap-4125	159	11	is	be	AUX
ap-4125	159	12	located	locate	VERB
ap-4125	159	13	in	in	ADP
ap-4125	159	14	the	the	DET
ap-4125	159	15	lowermost	lowermost	ADJ
ap-4125	159	16	part	part	NOUN
ap-4125	159	17	of	of	ADP
ap-4125	159	18	a	a	DET
ap-4125	159	19	disk	disk	NOUN
ap-4125	159	20	,	,	PUNCT
ap-4125	159	21	that	that	PRON
ap-4125	159	22	is	be	AUX
ap-4125	159	23	at	at	ADP
ap-4125	159	24	depth	depth	NOUN
ap-4125	159	25	а	а	NOUN
ap-4125	159	26	.	.	PUNCT
ap-4125	160	1	at	at	ADP
ap-4125	160	2	)	)	PUNCT
ap-4125	160	3	/arcsin	/arcsin	PROPN
ap-4125	160	4	(	(	PUNCT
ap-4125	160	5	rru	rru	NOUN
ap-4125	160	6			PROPN
ap-4125	160	7	and	and	CCONJ
ap-4125	160	8	at	at	ADP
ap-4125	160	9			PROPN
ap-4125	160	10	)/)(arccos	)/)(arcco	NOUN
ap-4125	160	11	rarv	rarv	VERB
ap-4125	160	12			ADV
ap-4125	160	13	the	the	DET
ap-4125	160	14	point	point	NOUN
ap-4125	160	15	is	be	AUX
ap-4125	160	16	located	locate	VERB
ap-4125	160	17	in	in	ADP
ap-4125	160	18	such	such	ADJ
ap-4125	160	19	part	part	NOUN
ap-4125	160	20	of	of	ADP
ap-4125	160	21	a	a	DET
ap-4125	160	22	blade	blade	NOUN
ap-4125	160	23	,	,	PUNCT
ap-4125	160	24	where	where	SCONJ
ap-4125	160	25	it	it	PRON
ap-4125	160	26	meets	meet	VERB
ap-4125	160	27	a	a	DET
ap-4125	160	28	field	field	NOUN
ap-4125	160	29	surface	surface	NOUN
ap-4125	160	30	.	.	PUNCT
ap-4125	161	1	when	when	SCONJ
ap-4125	161	2	choosing	choose	VERB
ap-4125	161	3	parameter	parameter	NOUN
ap-4125	161	4	v	v	NOUN
ap-4125	161	5	within	within	ADP
ap-4125	161	6	the	the	DET
ap-4125	161	7	specified	specify	VERB
ap-4125	161	8	limits	limit	NOUN
ap-4125	161	9	,	,	PUNCT
ap-4125	161	10	we	we	PRON
ap-4125	161	11	choose	choose	VERB
ap-4125	161	12	a	a	DET
ap-4125	161	13	point	point	NOUN
ap-4125	161	14	on	on	ADP
ap-4125	161	15	a	a	DET
ap-4125	161	16	blade	blade	NOUN
ap-4125	161	17	at	at	ADP
ap-4125	161	18	a	a	DET
ap-4125	161	19	digging	dig	VERB
ap-4125	161	20	depth	depth	NOUN
ap-4125	161	21	of	of	ADP
ap-4125	161	22	penetration	penetration	NOUN
ap-4125	161	23	.	.	PUNCT
ap-4125	162	1	initial	initial	ADJ
ap-4125	162	2	value	value	NOUN
ap-4125	162	3	of	of	ADP
ap-4125	162	4	first	first	ADJ
ap-4125	162	5	-	-	PUNCT
ap-4125	162	6	order	order	NOUN
ap-4125	162	7	derivatives	derivative	NOUN
ap-4125	162	8	uꞌ	uꞌ	NOUN
ap-4125	162	9	and	and	CCONJ
ap-4125	162	10	vꞌ	vꞌ	VERB
ap-4125	162	11	determine	determine	VERB
ap-4125	162	12	the	the	DET
ap-4125	162	13	direction	direction	NOUN
ap-4125	162	14	of	of	ADP
ap-4125	162	15	particle	particle	NOUN
ap-4125	162	16	entering	enter	VERB
ap-4125	162	17	a	a	DET
ap-4125	162	18	surface	surface	NOUN
ap-4125	162	19	.	.	PUNCT
ap-4125	163	1	at	at	ADP
ap-4125	163	2	constrru	constrru	NOUN
ap-4125	163	3			PROPN
ap-4125	163	4	)	)	PUNCT
ap-4125	163	5	/arccos	/arcco	NOUN
ap-4125	163	6	(	(	PUNCT
ap-4125	163	7	and	and	CCONJ
ap-4125	163	8	a	a	DET
ap-4125	163	9	change	change	NOUN
ap-4125	163	10	of	of	ADP
ap-4125	163	11	independent	independent	ADJ
ap-4125	163	12	value	value	NOUN
ap-4125	163	13	v	v	NOUN
ap-4125	163	14	,	,	PUNCT
ap-4125	163	15	a	a	DET
ap-4125	163	16	circle	circle	NOUN
ap-4125	163	17	–	–	PUNCT
ap-4125	163	18	disk	disk	NOUN
ap-4125	163	19	periphery	periphery	NOUN
ap-4125	163	20	–	–	PUNCT
ap-4125	163	21	is	be	AUX
ap-4125	163	22	described	describe	VERB
ap-4125	163	23	on	on	ADP
ap-4125	163	24	a	a	DET
ap-4125	163	25	surface	surface	NOUN
ap-4125	163	26	.	.	PUNCT
ap-4125	164	1	derivative	derivative	ADJ
ap-4125	164	2	vꞌ	vꞌ	NOUN
ap-4125	164	3	represents	represent	VERB
ap-4125	164	4	angular	angular	ADJ
ap-4125	164	5	velocity	velocity	NOUN
ap-4125	164	6	of	of	ADP
ap-4125	164	7	particle	particle	NOUN
ap-4125	164	8	sliding	slide	VERB
ap-4125	164	9	at	at	ADP
ap-4125	164	10	the	the	DET
ap-4125	164	11	moment	moment	NOUN
ap-4125	164	12	of	of	ADP
ap-4125	164	13	its	its	PRON
ap-4125	164	14	getting	get	VERB
ap-4125	164	15	onto	onto	ADP
ap-4125	164	16	a	a	DET
ap-4125	164	17	blade	blade	NOUN
ap-4125	164	18	.	.	PUNCT
ap-4125	165	1	since	since	SCONJ
ap-4125	165	2	,	,	PUNCT
ap-4125	165	3	before	before	ADP
ap-4125	165	4	entering	enter	VERB
ap-4125	165	5	a	a	DET
ap-4125	165	6	disk	disk	NOUN
ap-4125	165	7	,	,	PUNCT
ap-4125	165	8	a	a	DET
ap-4125	165	9	particle	particle	NOUN
ap-4125	165	10	is	be	AUX
ap-4125	165	11	stationary	stationary	ADJ
ap-4125	165	12	,	,	PUNCT
ap-4125	165	13	then	then	ADV
ap-4125	165	14	,	,	PUNCT
ap-4125	165	15	relative	relative	ADJ
ap-4125	165	16	to	to	ADP
ap-4125	165	17	a	a	DET
ap-4125	165	18	disk	disk	NOUN
ap-4125	165	19	,	,	PUNCT
ap-4125	165	20	which	which	PRON
ap-4125	165	21	rotates	rotate	VERB
ap-4125	165	22	with	with	ADP
ap-4125	165	23	angular	angular	ADJ
ap-4125	165	24	velocity	velocity	NOUN
ap-4125	165	25	being	be	AUX
ap-4125	165	26	сos	сo	VERB
ap-4125	165	27	m	m	PROPN
ap-4125	165	28	v	v	PROPN
ap-4125	165	29	r	r	PROPN
ap-4125	165	30			NOUN
ap-4125	165	31	,	,	PUNCT
ap-4125	165	32	we	we	PRON
ap-4125	165	33	assume	assume	VERB
ap-4125	165	34	vꞌ=-ω	vꞌ=-ω	NOUN
ap-4125	165	35	.	.	PUNCT
ap-4125	166	1	if	if	SCONJ
ap-4125	166	2	a	a	DET
ap-4125	166	3	disk	disk	NOUN
ap-4125	166	4	rotated	rotate	VERB
ap-4125	166	5	and	and	CCONJ
ap-4125	166	6	a	a	DET
ap-4125	166	7	particle	particle	NOUN
ap-4125	166	8	remained	remain	VERB
ap-4125	166	9	in	in	ADP
ap-4125	166	10	place	place	NOUN
ap-4125	166	11	,	,	PUNCT
ap-4125	166	12	velocity	velocity	NOUN
ap-4125	166	13	of	of	ADP
ap-4125	166	14	sliding	slide	VERB
ap-4125	166	15	on	on	ADP
ap-4125	166	16	a	a	DET
ap-4125	166	17	blade	blade	NOUN
ap-4125	166	18	would	would	AUX
ap-4125	166	19	be	be	AUX
ap-4125	166	20	stabilized	stabilize	VERB
ap-4125	166	21	,	,	PUNCT
ap-4125	166	22	opposite	opposite	ADV
ap-4125	166	23	to	to	ADP
ap-4125	166	24	the	the	DET
ap-4125	166	25	direction	direction	NOUN
ap-4125	166	26	of	of	ADP
ap-4125	166	27	disk	disk	NOUN
ap-4125	166	28	rotation	rotation	NOUN
ap-4125	166	29	and	and	CCONJ
ap-4125	166	30	would	would	AUX
ap-4125	166	31	be	be	AUX
ap-4125	166	32	equal	equal	ADJ
ap-4125	166	33	to	to	ADP
ap-4125	166	34	vꞌ=-ω	vꞌ=-ω	PROPN
ap-4125	166	35	.	.	PUNCT
ap-4125	167	1	but	but	CCONJ
ap-4125	167	2	it	it	PRON
ap-4125	167	3	happens	happen	VERB
ap-4125	167	4	only	only	ADV
ap-4125	167	5	at	at	ADP
ap-4125	167	6	the	the	DET
ap-4125	167	7	moment	moment	NOUN
ap-4125	167	8	of	of	ADP
ap-4125	167	9	particle	particle	NOUN
ap-4125	167	10	getting	get	VERB
ap-4125	167	11	onto	onto	ADP
ap-4125	167	12	a	a	DET
ap-4125	167	13	blade	blade	NOUN
ap-4125	167	14	and	and	CCONJ
ap-4125	167	15	further	far	ADV
ap-4125	167	16	a	a	DET
ap-4125	167	17	particle	particle	NOUN
ap-4125	167	18	is	be	AUX
ap-4125	167	19	trapped	trap	VERB
ap-4125	167	20	by	by	ADP
ap-4125	167	21	a	a	DET
ap-4125	167	22	surface	surface	NOUN
ap-4125	167	23	,	,	PUNCT
ap-4125	167	24	moves	move	NOUN
ap-4125	167	25	along	along	ADP
ap-4125	167	26	it	it	PRON
ap-4125	167	27	and	and	CCONJ
ap-4125	167	28	angular	angular	ADJ
ap-4125	167	29	velocity	velocity	NOUN
ap-4125	167	30	of	of	ADP
ap-4125	167	31	sliding	slide	VERB
ap-4125	167	32	decreases	decrease	NOUN
ap-4125	167	33	.	.	PUNCT
ap-4125	168	1	derivative	derivative	ADJ
ap-4125	168	2	uꞌ	uꞌ	NOUN
ap-4125	168	3	represents	represent	VERB
ap-4125	168	4	angular	angular	ADJ
ap-4125	168	5	velocity	velocity	NOUN
ap-4125	168	6	of	of	ADP
ap-4125	168	7	particle	particle	NOUN
ap-4125	168	8	motion	motion	NOUN
ap-4125	168	9	along	along	ADP
ap-4125	168	10	a	a	DET
ap-4125	168	11	coordinate	coordinate	NOUN
ap-4125	168	12	line	line	NOUN
ap-4125	168	13	(	(	PUNCT
ap-4125	168	14	angle	angle	NOUN
ap-4125	168	15	)	)	PUNCT
ap-4125	168	16	u	u	NOUN
ap-4125	168	17	,	,	PUNCT
ap-4125	168	18	that	that	PRON
ap-4125	168	19	is	be	AUX
ap-4125	168	20	to	to	PART
ap-4125	168	21	say	say	VERB
ap-4125	168	22	,	,	PUNCT
ap-4125	168	23	along	along	ADP
ap-4125	168	24	the	the	DET
ap-4125	168	25	meridian	meridian	PROPN
ap-4125	168	26	,	,	PUNCT
ap-4125	168	27	which	which	PRON
ap-4125	168	28	goes	go	VERB
ap-4125	168	29	from	from	ADP
ap-4125	168	30	the	the	DET
ap-4125	168	31	point	point	NOUN
ap-4125	168	32	on	on	ADP
ap-4125	168	33	a	a	DET
ap-4125	168	34	blade	blade	NOUN
ap-4125	168	35	to	to	ADP
ap-4125	168	36	the	the	DET
ap-4125	168	37	centre	centre	NOUN
ap-4125	168	38	of	of	ADP
ap-4125	168	39	a	a	DET
ap-4125	168	40	disk	disk	NOUN
ap-4125	168	41	.	.	PUNCT
ap-4125	169	1	let	let	VERB
ap-4125	169	2	us	we	PRON
ap-4125	169	3	assume	assume	VERB
ap-4125	169	4	that	that	SCONJ
ap-4125	169	5	linear	linear	ADJ
ap-4125	169	6	velocity	velocity	NOUN
ap-4125	169	7	of	of	ADP
ap-4125	169	8	particle	particle	NOUN
ap-4125	169	9	motion	motion	NOUN
ap-4125	169	10	in	in	ADP
ap-4125	169	11	a	a	DET
ap-4125	169	12	meridian	meridian	ADJ
ap-4125	169	13	line	line	NOUN
ap-4125	169	14	,	,	PUNCT
ap-4125	169	15	which	which	PRON
ap-4125	169	16	is	be	AUX
ap-4125	169	17	determined	determine	VERB
ap-4125	169	18	by	by	ADP
ap-4125	169	19	expression	expression	NOUN
ap-4125	169	20	r·uꞌ	r·uꞌ	NOUN
ap-4125	169	21	,	,	PUNCT
ap-4125	169	22	is	be	AUX
ap-4125	169	23	equal	equal	ADJ
ap-4125	169	24	to	to	PART
ap-4125	169	25	cross	cross	VERB
ap-4125	169	26	stream	stream	PROPN
ap-4125	169	27	velocity	velocity	NOUN
ap-4125	169	28	component	component	NOUN
ap-4125	169	29	of	of	ADP
ap-4125	169	30	machine	machine	NOUN
ap-4125	169	31	movement	movement	NOUN
ap-4125	169	32	,	,	PUNCT
ap-4125	169	33	that	that	PRON
ap-4125	169	34	is	be	AUX
ap-4125	169	35	sin	sin	NOUN
ap-4125	169	36	m	m	NOUN
ap-4125	169	37	v	v	NOUN
ap-4125	169	38			NOUN
ap-4125	169	39	.	.	PUNCT
ap-4125	170	1	hence	hence	ADV
ap-4125	170	2	,	,	PUNCT
ap-4125	170	3	we	we	PRON
ap-4125	170	4	obtain	obtain	VERB
ap-4125	170	5	initial	initial	ADJ
ap-4125	170	6	value	value	NOUN
ap-4125	170	7	of	of	ADP
ap-4125	170	8	uꞌ	uꞌ	NOUN
ap-4125	170	9	:	:	PUNCT
ap-4125	170	10	sin	sin	VERB
ap-4125	170	11	m	m	VERB
ap-4125	170	12	u	u	NOUN
ap-4125	170	13	v	v	ADP
ap-4125	170	14	r	r	NOUN
ap-4125	170	15			NUM
ap-4125	170	16	.	.	PUNCT
ap-4125	171	1	results	result	NOUN
ap-4125	171	2	when	when	SCONJ
ap-4125	171	3	conducting	conduct	VERB
ap-4125	171	4	research	research	NOUN
ap-4125	171	5	,	,	PUNCT
ap-4125	171	6	it	it	PRON
ap-4125	171	7	was	be	AUX
ap-4125	171	8	assumed	assume	VERB
ap-4125	171	9	that	that	SCONJ
ap-4125	171	10	a	a	DET
ap-4125	171	11	machine	machine	NOUN
ap-4125	171	12	moves	move	VERB
ap-4125	171	13	at	at	ADP
ap-4125	171	14	9	9	NUM
ap-4125	171	15	km	km	NOUN
ap-4125	171	16	/	/	SYM
ap-4125	171	17	h	h	NOUN
ap-4125	171	18	=	=	SYM
ap-4125	171	19	2.5	2.5	NUM
ap-4125	171	20	m	m	PROPN
ap-4125	171	21	/	/	SYM
ap-4125	171	22	s	s	PROPN
ap-4125	171	23	,	,	PUNCT
ap-4125	171	24	an	an	DET
ap-4125	171	25	incidence	incidence	NOUN
ap-4125	171	26	angle	angle	NOUN
ap-4125	171	27	is	be	AUX
ap-4125	171	28	α=20º	α=20º	PROPN
ap-4125	171	29	,	,	PUNCT
ap-4125	171	30	design	design	NOUN
ap-4125	171	31	parameters	parameter	NOUN
ap-4125	171	32	of	of	ADP
ap-4125	171	33	a	a	DET
ap-4125	171	34	disk	disk	NOUN
ap-4125	171	35	are	be	AUX
ap-4125	171	36	r=0.5	r=0.5	NOUN
ap-4125	171	37	m	m	PROPN
ap-4125	171	38	,	,	PUNCT
ap-4125	171	39	r=0.225	r=0.225	PRON
ap-4125	171	40	m	m	VERB
ap-4125	171	41	,	,	PUNCT
ap-4125	171	42	tillage	tillage	NOUN
ap-4125	171	43	depth	depth	NOUN
ap-4125	171	44	is	be	AUX
ap-4125	171	45	а=0.08	а=0.08	ADJ
ap-4125	171	46	m.	m.	NOUN
ap-4125	171	47	using	use	VERB
ap-4125	171	48	the	the	DET
ap-4125	171	49	deduced	deduce	VERB
ap-4125	171	50	dependences	dependence	NOUN
ap-4125	171	51	,	,	PUNCT
ap-4125	171	52	we	we	PRON
ap-4125	171	53	determine	determine	VERB
ap-4125	171	54	initial	initial	ADJ
ap-4125	171	55	conditions	condition	NOUN
ap-4125	171	56	of	of	ADP
ap-4125	171	57	integration	integration	NOUN
ap-4125	171	58	u=0.47	u=0.47	X
ap-4125	171	59	rad	rad	NOUN
ap-4125	171	60	;	;	PUNCT
ap-4125	171	61	v=2,27	v=2,27	PROPN
ap-4125	171	62	…	…	SYM
ap-4125	171	63	π	π	PROPN
ap-4125	171	64	rad	rad	INTJ
ap-4125	171	65	(	(	PUNCT
ap-4125	171	66	depending	depend	VERB
ap-4125	171	67	on	on	ADP
ap-4125	171	68	the	the	DET
ap-4125	171	69	depth	depth	NOUN
ap-4125	171	70	,	,	PUNCT
ap-4125	171	71	at	at	ADP
ap-4125	171	72	which	which	PRON
ap-4125	171	73	a	a	DET
ap-4125	171	74	particle	particle	NOUN
ap-4125	171	75	enters	enter	VERB
ap-4125	171	76	a	a	DET
ap-4125	171	77	disk	disk	NOUN
ap-4125	171	78	blade	blade	NOUN
ap-4125	171	79	)	)	PUNCT
ap-4125	171	80	;	;	PUNCT
ap-4125	171	81	uꞌ=1.72	uꞌ=1.72	ADJ
ap-4125	171	82	s-1	s-1	PROPN
ap-4125	171	83	;	;	PUNCT
ap-4125	171	84	vꞌ=-ω=-10.4	vꞌ=-ω=-10.4	ADP
ap-4125	171	85	s-1	s-1	PROPN
ap-4125	171	86	.	.	PUNCT
ap-4125	172	1	as	as	ADP
ap-4125	172	2	a	a	DET
ap-4125	172	3	result	result	NOUN
ap-4125	172	4	of	of	ADP
ap-4125	172	5	numerical	numerical	ADJ
ap-4125	172	6	integration	integration	NOUN
ap-4125	172	7	of	of	ADP
ap-4125	172	8	system	system	NOUN
ap-4125	172	9	(	(	PUNCT
ap-4125	172	10	12	12	NUM
ap-4125	172	11	)	)	PUNCT
ap-4125	172	12	relative	relative	NOUN
ap-4125	172	13	(	(	PUNCT
ap-4125	172	14	following	follow	VERB
ap-4125	172	15	formulas	formula	NOUN
ap-4125	172	16	(	(	PUNCT
ap-4125	172	17	1	1	NUM
ap-4125	172	18	)	)	PUNCT
ap-4125	172	19	and	and	CCONJ
ap-4125	172	20	absolute	absolute	ADJ
ap-4125	172	21	(	(	PUNCT
ap-4125	172	22	following	follow	VERB
ap-4125	172	23	formulas	formula	NOUN
ap-4125	172	24	(	(	PUNCT
ap-4125	172	25	5	5	NUM
ap-4125	172	26	)	)	PUNCT
ap-4125	172	27	)	)	PUNCT
ap-4125	172	28	trajectories	trajectory	NOUN
ap-4125	172	29	of	of	ADP
ap-4125	172	30	particle	particle	NOUN
ap-4125	172	31	motion	motion	NOUN
ap-4125	172	32	have	have	AUX
ap-4125	172	33	been	be	AUX
ap-4125	172	34	made	make	VERB
ap-4125	172	35	.	.	PUNCT
ap-4125	173	1	they	they	PRON
ap-4125	173	2	are	be	AUX
ap-4125	173	3	shown	show	VERB
ap-4125	173	4	in	in	ADP
ap-4125	173	5	fig	fig	NOUN
ap-4125	173	6	.	.	PUNCT
ap-4125	174	1	3,a	3,a	NOUN
ap-4125	174	2	from	from	ADP
ap-4125	174	3	the	the	DET
ap-4125	174	4	view	view	NOUN
ap-4125	174	5	point	point	NOUN
ap-4125	174	6	,	,	PUNCT
ap-4125	174	7	which	which	DET
ap-4125	174	8	direction	direction	NOUN
ap-4125	174	9	is	be	AUX
ap-4125	174	10	perpendicular	perpendicular	ADJ
ap-4125	174	11	to	to	ADP
ap-4125	174	12	a	a	DET
ap-4125	174	13	blade	blade	NOUN
ap-4125	174	14	surface	surface	NOUN
ap-4125	174	15	.	.	PUNCT
ap-4125	175	1	full	full	ADJ
ap-4125	175	2	lines	line	NOUN
ap-4125	175	3	show	show	VERB
ap-4125	175	4	trajectories	trajectory	NOUN
ap-4125	175	5	of	of	ADP
ap-4125	175	6	absolute	absolute	ADJ
ap-4125	175	7	motion	motion	NOUN
ap-4125	175	8	of	of	ADP
ap-4125	175	9	a	a	DET
ap-4125	175	10	particle	particle	NOUN
ap-4125	175	11	,	,	PUNCT
ap-4125	175	12	which	which	PRON
ap-4125	175	13	gets	get	VERB
ap-4125	175	14	onto	onto	ADP
ap-4125	175	15	a	a	DET
ap-4125	175	16	blade	blade	NOUN
ap-4125	175	17	at	at	ADP
ap-4125	175	18	a	a	DET
ap-4125	175	19	digging	dig	VERB
ap-4125	175	20	depth	depth	NOUN
ap-4125	175	21	and	and	CCONJ
ap-4125	175	22	dashed	dash	VERB
ap-4125	175	23	lines	line	NOUN
ap-4125	175	24	show	show	VERB
ap-4125	175	25	relative	relative	ADJ
ap-4125	175	26	trajectories	trajectory	NOUN
ap-4125	175	27	,	,	PUNCT
ap-4125	175	28	that	that	PRON
ap-4125	175	29	is	be	AUX
ap-4125	175	30	to	to	PART
ap-4125	175	31	say	say	VERB
ap-4125	175	32	,	,	PUNCT
ap-4125	175	33	trajectories	trajectory	NOUN
ap-4125	175	34	of	of	ADP
ap-4125	175	35	particle	particle	NOUN
ap-4125	175	36	sliding	slide	VERB
ap-4125	175	37	on	on	ADP
ap-4125	175	38	a	a	DET
ap-4125	175	39	disk	disk	NOUN
ap-4125	175	40	.	.	PUNCT
ap-4125	176	1	a	a	DET
ap-4125	176	2	b	b	NOUN
ap-4125	176	3	fig	fig	NOUN
ap-4125	176	4	.	.	PUNCT
ap-4125	177	1	3	3	X
ap-4125	177	2	.	.	X
ap-4125	177	3	projection	projection	NOUN
ap-4125	177	4	of	of	ADP
ap-4125	177	5	a	a	DET
ap-4125	177	6	disk	disk	NOUN
ap-4125	177	7	and	and	CCONJ
ap-4125	177	8	plotted	plot	VERB
ap-4125	177	9	trajectories	trajectory	NOUN
ap-4125	177	10	of	of	ADP
ap-4125	177	11	particle	particle	NOUN
ap-4125	177	12	motion	motion	NOUN
ap-4125	177	13	:	:	PUNCT
ap-4125	177	14	а	а	X
ap-4125	177	15	)	)	PUNCT
ap-4125	177	16	absolute	absolute	ADJ
ap-4125	177	17	and	and	CCONJ
ap-4125	177	18	relative	relative	ADJ
ap-4125	177	19	trajectories	trajectory	NOUN
ap-4125	177	20	at	at	ADP
ap-4125	177	21	an	an	DET
ap-4125	177	22	incidence	incidence	NOUN
ap-4125	177	23	angle	angle	NOUN
ap-4125	177	24	being	be	AUX
ap-4125	177	25	α=20º	α=20º	NOUN
ap-4125	177	26	;	;	PUNCT
ap-4125	177	27	b	b	X
ap-4125	177	28	)	)	PUNCT
ap-4125	177	29	absolute	absolute	ADJ
ap-4125	177	30	trajectories	trajectory	NOUN
ap-4125	177	31	at	at	ADP
ap-4125	177	32	an	an	DET
ap-4125	177	33	incidence	incidence	ADJ
ap-4125	177	34	angle	angle	NOUN
ap-4125	177	35	of	of	ADP
ap-4125	177	36	α=3º	α=3º	NOUN
ap-4125	177	37	figure	figure	NOUN
ap-4125	177	38	3	3	NUM
ap-4125	177	39	.	.	PUNCT
ap-4125	177	40	projection	projection	NOUN
ap-4125	177	41	of	of	ADP
ap-4125	177	42	a	a	DET
ap-4125	177	43	disk	disk	NOUN
ap-4125	177	44	and	and	CCONJ
ap-4125	177	45	plotted	plot	VERB
ap-4125	177	46	trajectories	trajectory	NOUN
ap-4125	177	47	of	of	ADP
ap-4125	177	48	particle	particle	NOUN
ap-4125	177	49	motion	motion	NOUN
ap-4125	177	50	:	:	PUNCT
ap-4125	177	51	a	a	X
ap-4125	177	52	)	)	PUNCT
ap-4125	177	53	absolute	absolute	ADJ
ap-4125	177	54	and	and	CCONJ
ap-4125	177	55	relative	relative	ADJ
ap-4125	177	56	trajectories	trajectory	NOUN
ap-4125	177	57	at	at	ADP
ap-4125	177	58	an	an	DET
ap-4125	177	59	incidence	incidence	NOUN
ap-4125	177	60	angle	angle	NOUN
ap-4125	177	61	being	being	NOUN
ap-4125	177	62	of	of	ADP
ap-4125	177	63	α	α	NOUN
ap-4125	177	64	=	=	PUNCT
ap-4125	177	65	20	20	NUM
ap-4125	177	66	°	°	NUM
ap-4125	177	67	;	;	PUNCT
ap-4125	177	68	b	b	X
ap-4125	177	69	)	)	PUNCT
ap-4125	177	70	absolute	absolute	ADJ
ap-4125	177	71	trajectories	trajectory	NOUN
ap-4125	177	72	at	at	ADP
ap-4125	177	73	an	an	DET
ap-4125	177	74	incidence	incidence	ADJ
ap-4125	177	75	angle	angle	NOUN
ap-4125	177	76	of	of	ADP
ap-4125	177	77	α	α	NOUN
ap-4125	177	78	=	=	PUNCT
ap-4125	177	79	3	3	NUM
ap-4125	177	80	°	°	NUM
ap-4125	177	81	.	.	PUNCT
ap-4125	178	1	it	it	PRON
ap-4125	178	2	is	be	AUX
ap-4125	178	3	to	to	PART
ap-4125	178	4	be	be	AUX
ap-4125	178	5	recalled	recall	VERB
ap-4125	178	6	that	that	SCONJ
ap-4125	178	7	we	we	PRON
ap-4125	178	8	have	have	AUX
ap-4125	178	9	accepted	accept	VERB
ap-4125	178	10	a	a	DET
ap-4125	178	11	geometric	geometric	ADJ
ap-4125	178	12	model	model	NOUN
ap-4125	178	13	,	,	PUNCT
ap-4125	178	14	according	accord	VERB
ap-4125	178	15	to	to	ADP
ap-4125	178	16	which	which	PRON
ap-4125	178	17	a	a	DET
ap-4125	178	18	disk	disk	NOUN
ap-4125	178	19	rotates	rotate	VERB
ap-4125	178	20	about	about	ADP
ap-4125	178	21	a	a	DET
ap-4125	178	22	horizontal	horizontal	ADJ
ap-4125	178	23	axis	axis	NOUN
ap-4125	178	24	but	but	CCONJ
ap-4125	178	25	does	do	AUX
ap-4125	178	26	not	not	PART
ap-4125	178	27	move	move	VERB
ap-4125	178	28	on	on	ADP
ap-4125	178	29	the	the	DET
ap-4125	178	30	field	field	NOUN
ap-4125	178	31	.	.	PUNCT
ap-4125	179	1	instead	instead	ADV
ap-4125	179	2	,	,	PUNCT
ap-4125	179	3	a	a	DET
ap-4125	179	4	particle	particle	NOUN
ap-4125	179	5	is	be	AUX
ap-4125	179	6	delivered	deliver	VERB
ap-4125	179	7	on	on	ADP
ap-4125	179	8	it	it	PRON
ap-4125	179	9	at	at	ADP
ap-4125	179	10	an	an	DET
ap-4125	179	11	incidence	incidence	NOUN
ap-4125	179	12	at	at	ADP
ap-4125	179	13	specified	specified	ADJ
ap-4125	179	14	initial	initial	ADJ
ap-4125	179	15	velocity	velocity	NOUN
ap-4125	179	16	vm	vm	PROPN
ap-4125	179	17	,	,	PUNCT
ap-4125	179	18	which	which	PRON
ap-4125	179	19	falls	fall	VERB
ap-4125	179	20	into	into	ADP
ap-4125	179	21	two	two	NUM
ap-4125	179	22	components	component	NOUN
ap-4125	179	23	:	:	PUNCT
ap-4125	179	24	longitudinal	longitudinal	ADJ
ap-4125	179	25	and	and	CCONJ
ap-4125	179	26	transverse	transverse	NOUN
ap-4125	179	27	.	.	PUNCT
ap-4125	180	1	trajectories	trajectory	NOUN
ap-4125	180	2	of	of	ADP
ap-4125	180	3	sliding	slide	VERB
ap-4125	180	4	(	(	PUNCT
ap-4125	180	5	dashed	dash	VERB
ap-4125	180	6	lines	line	NOUN
ap-4125	180	7	)	)	PUNCT
ap-4125	180	8	are	be	AUX
ap-4125	180	9	not	not	PART
ap-4125	180	10	interesting	interesting	ADJ
ap-4125	180	11	for	for	ADP
ap-4125	180	12	investigation	investigation	NOUN
ap-4125	180	13	,	,	PUNCT
ap-4125	180	14	but	but	CCONJ
ap-4125	180	15	absolute	absolute	ADJ
ap-4125	180	16	trajectories	trajectory	NOUN
ap-4125	180	17	(	(	PUNCT
ap-4125	180	18	full	full	ADJ
ap-4125	180	19	lines	line	NOUN
ap-4125	180	20	)	)	PUNCT
ap-4125	180	21	give	give	VERB
ap-4125	180	22	us	we	PRON
ap-4125	180	23	an	an	DET
ap-4125	180	24	idea	idea	NOUN
ap-4125	180	25	how	how	SCONJ
ap-4125	180	26	particles	particle	NOUN
ap-4125	180	27	move	move	VERB
ap-4125	180	28	relative	relative	ADJ
ap-4125	180	29	to	to	ADP
ap-4125	180	30	disk	disk	NOUN
ap-4125	180	31	projection	projection	NOUN
ap-4125	180	32	,	,	PUNCT
ap-4125	180	33	particularly	particularly	ADV
ap-4125	180	34	their	their	PRON
ap-4125	180	35	rise	rise	NOUN
ap-4125	180	36	height	height	NOUN
ap-4125	180	37	.	.	PUNCT
ap-4125	181	1	fig	fig	NOUN
ap-4125	181	2	.	.	PUNCT
ap-4125	182	1	3,b	3,b	NOUN
ap-4125	182	2	illustrates	illustrate	VERB
ap-4125	182	3	absolute	absolute	ADJ
ap-4125	182	4	trajectories	trajectory	NOUN
ap-4125	182	5	of	of	ADP
ap-4125	182	6	particle	particle	NOUN
ap-4125	182	7	motion	motion	NOUN
ap-4125	182	8	when	when	SCONJ
ap-4125	182	9	they	they	PRON
ap-4125	182	10	get	get	VERB
ap-4125	182	11	onto	onto	ADP
ap-4125	182	12	a	a	DET
ap-4125	182	13	disk	disk	NOUN
ap-4125	182	14	at	at	ADP
ap-4125	182	15	the	the	DET
ap-4125	182	16	same	same	ADJ
ap-4125	182	17	penetration	penetration	NOUN
ap-4125	182	18	depth	depth	NOUN
ap-4125	182	19	as	as	SCONJ
ap-4125	182	20	we	we	PRON
ap-4125	182	21	have	have	VERB
ap-4125	182	22	in	in	ADP
ap-4125	182	23	the	the	DET
ap-4125	182	24	first	first	ADJ
ap-4125	182	25	case	case	NOUN
ap-4125	182	26	,	,	PUNCT
ap-4125	182	27	but	but	CCONJ
ap-4125	182	28	at	at	ADP
ap-4125	182	29	an	an	DET
ap-4125	182	30	incidence	incidence	NOUN
ap-4125	182	31	angle	angle	NOUN
ap-4125	182	32	being	be	AUX
ap-4125	182	33	α=30º.	α=30º.	ADJ
ap-4125	182	34	initial	initial	ADJ
ap-4125	182	35	conditions	condition	NOUN
ap-4125	182	36	of	of	ADP
ap-4125	182	37	integration	integration	NOUN
ap-4125	182	38	are	be	AUX
ap-4125	182	39	chosen	choose	VERB
ap-4125	182	40	according	accord	VERB
ap-4125	182	41	to	to	ADP
ap-4125	182	42	this	this	DET
ap-4125	182	43	angle	angle	NOUN
ap-4125	182	44	at	at	ADP
ap-4125	182	45	previous	previous	ADJ
ap-4125	182	46	velocity	velocity	NOUN
ap-4125	182	47	of	of	ADP
ap-4125	182	48	machine	machine	NOUN
ap-4125	182	49	movement	movement	NOUN
ap-4125	182	50	:	:	PUNCT
ap-4125	182	51	uꞌ=2.5	uꞌ=2.5	PROPN
ap-4125	182	52	s-1	s-1	PROPN
ap-4125	182	53	;	;	PUNCT
ap-4125	182	54	vꞌ=-ω=-9.6	vꞌ=-ω=-9.6	PROPN
ap-4125	182	55	s-1	s-1	PROPN
ap-4125	182	56	.	.	PUNCT
ap-4125	183	1	fig	fig	NOUN
ap-4125	183	2	.	.	PUNCT
ap-4125	184	1	3,b	3,b	NOUN
ap-4125	184	2	shows	show	VERB
ap-4125	184	3	that	that	SCONJ
ap-4125	184	4	the	the	DET
ap-4125	184	5	rise	rise	NOUN
ap-4125	184	6	height	height	NOUN
ap-4125	184	7	of	of	ADP
ap-4125	184	8	particles	particle	NOUN
ap-4125	184	9	increases	increase	NOUN
ap-4125	184	10	and	and	CCONJ
ap-4125	184	11	the	the	DET
ap-4125	184	12	area	area	NOUN
ap-4125	184	13	of	of	ADP
ap-4125	184	14	particle	particle	NOUN
ap-4125	184	15	dispersion	dispersion	NOUN
ap-4125	184	16	on	on	ADP
ap-4125	184	17	a	a	DET
ap-4125	184	18	disk	disk	NOUN
ap-4125	184	19	surface	surface	NOUN
ap-4125	184	20	increases	increase	NOUN
ap-4125	184	21	as	as	ADV
ap-4125	184	22	well	well	ADV
ap-4125	184	23	.	.	PUNCT
ap-4125	185	1	fig	fig	NOUN
ap-4125	185	2	.	.	PUNCT
ap-4125	186	1	4,a	4,a	NOUN
ap-4125	186	2	shows	show	VERB
ap-4125	186	3	a	a	DET
ap-4125	186	4	curve	curve	NOUN
ap-4125	186	5	of	of	ADP
ap-4125	186	6	angular	angular	ADJ
ap-4125	186	7	sliding	slide	VERB
ap-4125	186	8	velocity	velocity	NOUN
ap-4125	186	9	of	of	ADP
ap-4125	186	10	a	a	DET
ap-4125	186	11	particle	particle	NOUN
ap-4125	186	12	,	,	PUNCT
ap-4125	186	13	which	which	PRON
ap-4125	186	14	gets	get	VERB
ap-4125	186	15	onto	onto	ADP
ap-4125	186	16	a	a	DET
ap-4125	186	17	blade	blade	NOUN
ap-4125	186	18	at	at	ADP
ap-4125	186	19	a	a	DET
ap-4125	186	20	point	point	NOUN
ap-4125	186	21	of	of	ADP
ap-4125	186	22	its	its	PRON
ap-4125	186	23	contacting	contact	VERB
ap-4125	186	24	a	a	DET
ap-4125	186	25	field	field	NOUN
ap-4125	186	26	surface	surface	NOUN
ap-4125	186	27	at	at	ADP
ap-4125	186	28	α=3º	α=3º	NOUN
ap-4125	186	29	(	(	PUNCT
ap-4125	186	30	a	a	DET
ap-4125	186	31	peak	peak	NOUN
ap-4125	186	32	trajectory	trajectory	NOUN
ap-4125	186	33	in	in	ADP
ap-4125	186	34	fig	fig	NOUN
ap-4125	186	35	.	.	PUNCT
ap-4125	187	1	3,b	3,b	NOUN
ap-4125	187	2	)	)	PUNCT
ap-4125	187	3	.	.	PUNCT
ap-4125	188	1	from	from	ADP
ap-4125	188	2	initial	initial	ADJ
ap-4125	188	3	value	value	NOUN
ap-4125	188	4	vꞌ=-ω=-9.6	vꞌ=-ω=-9.6	PROPN
ap-4125	188	5	s-1	s-1	NOUN
ap-4125	188	6	,	,	PUNCT
ap-4125	188	7	the	the	DET
ap-4125	188	8	value	value	NOUN
ap-4125	188	9	of	of	ADP
ap-4125	188	10	angular	angular	ADJ
ap-4125	188	11	velocity	velocity	NOUN
ap-4125	188	12	decreases	decrease	NOUN
ap-4125	188	13	due	due	ADP
ap-4125	188	14	to	to	ADP
ap-4125	188	15	surface	surface	NOUN
ap-4125	188	16	friction	friction	NOUN
ap-4125	188	17	and	and	CCONJ
ap-4125	188	18	then	then	ADV
ap-4125	188	19	it	it	PRON
ap-4125	188	20	begins	begin	VERB
ap-4125	188	21	to	to	PART
ap-4125	188	22	increase	increase	VERB
ap-4125	188	23	when	when	SCONJ
ap-4125	188	24	a	a	DET
ap-4125	188	25	particle	particle	NOUN
ap-4125	188	26	moves	move	VERB
ap-4125	188	27	downward	downward	ADV
ap-4125	188	28	.	.	PUNCT
ap-4125	189	1	the	the	DET
ap-4125	189	2	duration	duration	NOUN
ap-4125	189	3	of	of	ADP
ap-4125	189	4	such	such	DET
ap-4125	189	5	a	a	DET
ap-4125	189	6	movement	movement	NOUN
ap-4125	189	7	until	until	SCONJ
ap-4125	189	8	it	it	PRON
ap-4125	189	9	reaches	reach	VERB
ap-4125	189	10	the	the	DET
ap-4125	189	11	lowest	low	ADJ
ap-4125	189	12	point	point	NOUN
ap-4125	189	13	is	be	AUX
ap-4125	189	14	0.26	0.26	NUM
ap-4125	189	15	s.	s.	PROPN
ap-4125	189	16	fig.4,b	fig.4,b	PROPN
ap-4125	189	17	shows	show	VERB
ap-4125	189	18	a	a	DET
ap-4125	189	19	curve	curve	NOUN
ap-4125	189	20	of	of	ADP
ap-4125	189	21	absolute	absolute	ADJ
ap-4125	189	22	velocity	velocity	NOUN
ap-4125	189	23	of	of	ADP
ap-4125	189	24	particle	particle	NOUN
ap-4125	189	25	motion	motion	NOUN
ap-4125	189	26	.	.	PUNCT
ap-4125	190	1	the	the	DET
ap-4125	190	2	initial	initial	ADJ
ap-4125	190	3	value	value	NOUN
ap-4125	190	4	of	of	ADP
ap-4125	190	5	velocity	velocity	NOUN
ap-4125	190	6	equals	equal	VERB
ap-4125	190	7	to	to	PART
ap-4125	190	8	transverse	transverse	NOUN
ap-4125	190	9	component	component	NOUN
ap-4125	190	10	sin	sin	NOUN
ap-4125	190	11	m	m	NOUN
ap-4125	190	12	v	v	NOUN
ap-4125	190	13			NOUN
ap-4125	190	14	=	=	NOUN
ap-4125	190	15	1.25	1.25	NUM
ap-4125	190	16	m	m	NOUN
ap-4125	190	17	/	/	SYM
ap-4125	190	18	s	s	PROPN
ap-4125	190	19	,	,	PUNCT
ap-4125	190	20	which	which	PRON
ap-4125	190	21	corresponds	correspond	VERB
ap-4125	190	22	to	to	ADP
ap-4125	190	23	initial	initial	ADJ
ap-4125	190	24	angular	angular	ADJ
ap-4125	190	25	velocity	velocity	NOUN
ap-4125	190	26	1sin	1sin	NUM
ap-4125	190	27	2,5	2,5	NUM
ap-4125	190	28	m	m	NOUN
ap-4125	190	29	u	u	NOUN
ap-4125	190	30	v	v	ADP
ap-4125	190	31	r	r	NOUN
ap-4125	190	32	s	s	NOUN
ap-4125	190	33			PROPN
ap-4125	190	34			NUM
ap-4125	190	35			ADJ
ap-4125	190	36	at	at	ADP
ap-4125	190	37	the	the	DET
ap-4125	190	38	point	point	NOUN
ap-4125	190	39	of	of	ADP
ap-4125	190	40	its	its	PRON
ap-4125	190	41	getting	get	VERB
ap-4125	190	42	onto	onto	ADP
ap-4125	190	43	the	the	DET
ap-4125	190	44	surface	surface	NOUN
ap-4125	190	45	.	.	PUNCT
ap-4125	191	1	after	after	ADP
ap-4125	191	2	this	this	PRON
ap-4125	191	3	,	,	PUNCT
ap-4125	191	4	the	the	DET
ap-4125	191	5	velocity	velocity	NOUN
ap-4125	191	6	decreases	decrease	VERB
ap-4125	191	7	,	,	PUNCT
ap-4125	191	8	which	which	PRON
ap-4125	191	9	corresponds	correspond	VERB
ap-4125	191	10	to	to	ADP
ap-4125	191	11	the	the	DET
ap-4125	191	12	rise	rise	NOUN
ap-4125	191	13	of	of	ADP
ap-4125	191	14	a	a	DET
ap-4125	191	15	particle	particle	NOUN
ap-4125	191	16	and	and	CCONJ
ap-4125	191	17	then	then	ADV
ap-4125	191	18	it	it	PRON
ap-4125	191	19	increases	increase	VERB
ap-4125	191	20	again	again	ADV
ap-4125	191	21	.	.	PUNCT
ap-4125	192	1	in	in	ADP
ap-4125	192	2	all	all	DET
ap-4125	192	3	the	the	DET
ap-4125	192	4	examples	example	NOUN
ap-4125	192	5	,	,	PUNCT
ap-4125	192	6	the	the	DET
ap-4125	192	7	coefficient	coefficient	NOUN
ap-4125	192	8	of	of	ADP
ap-4125	192	9	particle	particle	NOUN
ap-4125	192	10	friction	friction	NOUN
ap-4125	192	11	on	on	ADP
ap-4125	192	12	a	a	DET
ap-4125	192	13	disk	disk	NOUN
ap-4125	192	14	surface	surface	NOUN
ap-4125	192	15	is	be	AUX
ap-4125	192	16	assumed	assume	VERB
ap-4125	192	17	to	to	PART
ap-4125	192	18	be	be	AUX
ap-4125	192	19	f=0.3	f=0.3	NOUN
ap-4125	192	20	.	.	PUNCT
ap-4125	193	1	a	a	DET
ap-4125	193	2	b	b	NOUN
ap-4125	193	3	fig	fig	NOUN
ap-4125	193	4	.	.	PUNCT
ap-4125	194	1	4	4	X
ap-4125	194	2	.	.	X
ap-4125	194	3	kinematic	kinematic	ADJ
ap-4125	194	4	characteristics	characteristic	NOUN
ap-4125	194	5	of	of	ADP
ap-4125	194	6	particle	particle	NOUN
ap-4125	194	7	motion	motion	NOUN
ap-4125	194	8	at	at	ADP
ap-4125	194	9	α=30º	α=30º	PROPN
ap-4125	194	10	,	,	PUNCT
ap-4125	194	11	when	when	SCONJ
ap-4125	194	12	it	it	PRON
ap-4125	194	13	gets	get	VERB
ap-4125	194	14	onto	onto	ADP
ap-4125	194	15	a	a	DET
ap-4125	194	16	blade	blade	NOUN
ap-4125	194	17	at	at	ADP
ap-4125	194	18	its	its	PRON
ap-4125	194	19	contact	contact	NOUN
ap-4125	194	20	point	point	NOUN
ap-4125	194	21	with	with	ADP
ap-4125	194	22	a	a	DET
ap-4125	194	23	field	field	NOUN
ap-4125	194	24	surface	surface	NOUN
ap-4125	194	25	(	(	PUNCT
ap-4125	194	26	a	a	DET
ap-4125	194	27	peak	peak	NOUN
ap-4125	194	28	trajectory	trajectory	NOUN
ap-4125	194	29	in	in	ADP
ap-4125	194	30	fig	fig	NOUN
ap-4125	194	31	.	.	PUNCT
ap-4125	195	1	2,b	2,b	NUM
ap-4125	195	2	):	):	PUNCT
ap-4125	195	3	а	а	PROPN
ap-4125	195	4	)	)	PUNCT
ap-4125	195	5	a	a	DET
ap-4125	195	6	curve	curve	NOUN
ap-4125	195	7	of	of	ADP
ap-4125	195	8	angular	angular	ADJ
ap-4125	195	9	velocity	velocity	NOUN
ap-4125	195	10	of	of	ADP
ap-4125	195	11	particle	particle	NOUN
ap-4125	195	12	sliding	sliding	NOUN
ap-4125	195	13	;	;	PUNCT
ap-4125	195	14	b	b	X
ap-4125	195	15	)	)	PUNCT
ap-4125	195	16	a	a	DET
ap-4125	195	17	curve	curve	NOUN
ap-4125	195	18	of	of	ADP
ap-4125	195	19	absolute	absolute	ADJ
ap-4125	195	20	velocity	velocity	NOUN
ap-4125	195	21	of	of	ADP
ap-4125	195	22	motion	motion	NOUN
ap-4125	195	23	the	the	DET
ap-4125	195	24	deduced	deduce	VERB
ap-4125	195	25	model	model	NOUN
ap-4125	195	26	of	of	ADP
ap-4125	195	27	particle	particle	NOUN
ap-4125	195	28	motion	motion	NOUN
ap-4125	195	29	only	only	ADV
ap-4125	195	30	vaguely	vaguely	ADV
ap-4125	195	31	describes	describe	VERB
ap-4125	195	32	the	the	DET
ap-4125	195	33	real	real	ADJ
ap-4125	195	34	process	process	NOUN
ap-4125	195	35	.	.	PUNCT
ap-4125	196	1	this	this	DET
ap-4125	196	2	model	model	NOUN
ap-4125	196	3	assumes	assume	VERB
ap-4125	196	4	that	that	SCONJ
ap-4125	196	5	further	further	ADJ
ap-4125	196	6	motion	motion	NOUN
ap-4125	196	7	of	of	ADP
ap-4125	196	8	a	a	DET
ap-4125	196	9	particle	particle	NOUN
ap-4125	196	10	,	,	PUNCT
ap-4125	196	11	after	after	SCONJ
ap-4125	196	12	it	it	PRON
ap-4125	196	13	gets	get	VERB
ap-4125	196	14	onto	onto	ADP
ap-4125	196	15	a	a	DET
ap-4125	196	16	surface	surface	NOUN
ap-4125	196	17	,	,	PUNCT
ap-4125	196	18	is	be	AUX
ap-4125	196	19	performed	perform	VERB
ap-4125	196	20	due	due	ADP
ap-4125	196	21	to	to	ADP
ap-4125	196	22	the	the	DET
ap-4125	196	23	kinetic	kinetic	ADJ
ap-4125	196	24	energy	energy	NOUN
ap-4125	196	25	of	of	ADP
ap-4125	196	26	a	a	DET
ap-4125	196	27	particle	particle	NOUN
ap-4125	196	28	at	at	ADP
ap-4125	196	29	the	the	DET
ap-4125	196	30	moment	moment	NOUN
ap-4125	196	31	of	of	ADP
ap-4125	196	32	its	its	PRON
ap-4125	196	33	getting	get	VERB
ap-4125	196	34	onto	onto	ADP
ap-4125	196	35	a	a	DET
ap-4125	196	36	disk	disk	NOUN
ap-4125	196	37	surface	surface	NOUN
ap-4125	196	38	.	.	PUNCT
ap-4125	197	1	practically	practically	ADV
ap-4125	197	2	,	,	PUNCT
ap-4125	197	3	there	there	PRON
ap-4125	197	4	are	be	VERB
ap-4125	197	5	backup	backup	ADJ
ap-4125	197	6	forces	force	NOUN
ap-4125	197	7	of	of	ADP
ap-4125	197	8	adjacent	adjacent	ADJ
ap-4125	197	9	particles	particle	NOUN
ap-4125	197	10	,	,	PUNCT
ap-4125	197	11	which	which	PRON
ap-4125	197	12	make	make	VERB
ap-4125	197	13	a	a	DET
ap-4125	197	14	particle	particle	NOUN
ap-4125	197	15	move	move	NOUN
ap-4125	197	16	on	on	ADP
ap-4125	197	17	a	a	DET
ap-4125	197	18	surface	surface	NOUN
ap-4125	197	19	.	.	PUNCT
ap-4125	198	1	it	it	PRON
ap-4125	198	2	can	can	AUX
ap-4125	198	3	be	be	AUX
ap-4125	198	4	assumed	assume	VERB
ap-4125	198	5	that	that	SCONJ
ap-4125	198	6	this	this	DET
ap-4125	198	7	backup	backup	ADJ
ap-4125	198	8	force	force	NOUN
ap-4125	198	9	breaks	break	VERB
ap-4125	198	10	friction	friction	NOUN
ap-4125	198	11	resistance	resistance	NOUN
ap-4125	198	12	force	force	NOUN
ap-4125	198	13	,	,	PUNCT
ap-4125	198	14	that	that	PRON
ap-4125	198	15	is	be	AUX
ap-4125	198	16	to	to	PART
ap-4125	198	17	say	say	VERB
ap-4125	198	18	,	,	PUNCT
ap-4125	198	19	these	these	DET
ap-4125	198	20	forces	force	NOUN
ap-4125	198	21	are	be	AUX
ap-4125	198	22	equillibrated	equillibrate	VERB
ap-4125	198	23	and	and	CCONJ
ap-4125	198	24	,	,	PUNCT
ap-4125	198	25	in	in	ADP
ap-4125	198	26	this	this	DET
ap-4125	198	27	case	case	NOUN
ap-4125	198	28	,	,	PUNCT
ap-4125	198	29	it	it	PRON
ap-4125	198	30	is	be	AUX
ap-4125	198	31	possible	possible	ADJ
ap-4125	198	32	to	to	PART
ap-4125	198	33	adopt	adopt	VERB
ap-4125	198	34	a	a	DET
ap-4125	198	35	friction	friction	NOUN
ap-4125	198	36	coefficient	coefficient	NOUN
ap-4125	198	37	f	f	AUX
ap-4125	198	38	to	to	PART
ap-4125	198	39	be	be	AUX
ap-4125	198	40	equal	equal	ADJ
ap-4125	198	41	to	to	ADP
ap-4125	198	42	zero	zero	NUM
ap-4125	198	43	.	.	PUNCT
ap-4125	199	1	however	however	ADV
ap-4125	199	2	,	,	PUNCT
ap-4125	199	3	this	this	PRON
ap-4125	199	4	is	be	AUX
ap-4125	199	5	fair	fair	ADJ
ap-4125	199	6	only	only	ADV
ap-4125	199	7	at	at	ADP
ap-4125	199	8	the	the	DET
ap-4125	199	9	stage	stage	NOUN
ap-4125	199	10	of	of	ADP
ap-4125	199	11	particle	particle	NOUN
ap-4125	199	12	rise	rise	NOUN
ap-4125	199	13	and	and	CCONJ
ap-4125	199	14	at	at	ADP
ap-4125	199	15	the	the	DET
ap-4125	199	16	stage	stage	NOUN
ap-4125	199	17	of	of	ADP
ap-4125	199	18	its	its	PRON
ap-4125	199	19	downward	downward	ADJ
ap-4125	199	20	motion	motion	NOUN
ap-4125	199	21	backup	backup	NOUN
ap-4125	199	22	force	force	NOUN
ap-4125	199	23	may	may	AUX
ap-4125	199	24	act	act	VERB
ap-4125	199	25	as	as	ADP
ap-4125	199	26	decelerating	decelerate	VERB
ap-4125	199	27	force	force	NOUN
ap-4125	199	28	,	,	PUNCT
ap-4125	199	29	which	which	PRON
ap-4125	199	30	conflicts	conflict	VERB
ap-4125	199	31	with	with	ADP
ap-4125	199	32	a	a	DET
ap-4125	199	33	real	real	ADJ
ap-4125	199	34	process	process	NOUN
ap-4125	199	35	.	.	PUNCT
ap-4125	200	1	fig	fig	NOUN
ap-4125	200	2	.	.	PUNCT
ap-4125	201	1	5,a	5,a	PROPN
ap-4125	201	2	shows	show	VERB
ap-4125	201	3	enlarged	enlarged	ADJ
ap-4125	201	4	trajectories	trajectory	NOUN
ap-4125	201	5	of	of	ADP
ap-4125	201	6	absolute	absolute	ADJ
ap-4125	201	7	particle	particle	NOUN
ap-4125	201	8	motion	motion	NOUN
ap-4125	201	9	for	for	ADP
ap-4125	201	10	α=3º	α=3º	NOUN
ap-4125	201	11	at	at	ADP
ap-4125	201	12	f=0.3	f=0.3	NOUN
ap-4125	201	13	(	(	PUNCT
ap-4125	201	14	a	a	DET
ap-4125	201	15	full	full	ADJ
ap-4125	201	16	heavy	heavy	ADJ
ap-4125	201	17	line	line	NOUN
ap-4125	201	18	;	;	PUNCT
ap-4125	201	19	the	the	DET
ap-4125	201	20	same	same	ADJ
ap-4125	201	21	trajectories	trajectory	NOUN
ap-4125	201	22	in	in	ADP
ap-4125	201	23	a	a	DET
ap-4125	201	24	scaled	scale	VERB
ap-4125	201	25	-	-	PUNCT
ap-4125	201	26	down	down	ADP
ap-4125	201	27	version	version	NOUN
ap-4125	201	28	are	be	AUX
ap-4125	201	29	illustrated	illustrate	VERB
ap-4125	201	30	in	in	ADP
ap-4125	201	31	fig	fig	NOUN
ap-4125	201	32	.	.	PUNCT
ap-4125	202	1	3,b	3,b	NOUN
ap-4125	202	2	)	)	PUNCT
ap-4125	202	3	and	and	CCONJ
ap-4125	202	4	at	at	ADP
ap-4125	202	5	f=0	f=0	X
ap-4125	202	6	(	(	PUNCT
ap-4125	202	7	a	a	DET
ap-4125	202	8	fine	fine	ADJ
ap-4125	202	9	dashed	dash	VERB
ap-4125	202	10	line	line	NOUN
ap-4125	202	11	)	)	PUNCT
ap-4125	202	12	.	.	PUNCT
ap-4125	203	1	having	having	AUX
ap-4125	203	2	analyzed	analyze	VERB
ap-4125	203	3	these	these	DET
ap-4125	203	4	figure	figure	NOUN
ap-4125	203	5	4	4	NUM
ap-4125	203	6	.	.	PUNCT
ap-4125	203	7	kinematic	kinematic	ADJ
ap-4125	203	8	characteristics	characteristic	NOUN
ap-4125	203	9	of	of	ADP
ap-4125	203	10	particle	particle	NOUN
ap-4125	203	11	motion	motion	NOUN
ap-4125	203	12	at	at	ADP
ap-4125	203	13	α	α	NOUN
ap-4125	203	14	=	=	SYM
ap-4125	203	15	30	30	NUM
ap-4125	203	16	°	°	NOUN
ap-4125	203	17	,	,	PUNCT
ap-4125	203	18	when	when	SCONJ
ap-4125	203	19	it	it	PRON
ap-4125	203	20	gets	get	VERB
ap-4125	203	21	onto	onto	ADP
ap-4125	203	22	a	a	DET
ap-4125	203	23	blade	blade	NOUN
ap-4125	203	24	at	at	ADP
ap-4125	203	25	its	its	PRON
ap-4125	203	26	contact	contact	NOUN
ap-4125	203	27	point	point	NOUN
ap-4125	203	28	with	with	ADP
ap-4125	203	29	a	a	DET
ap-4125	203	30	field	field	NOUN
ap-4125	203	31	surface	surface	NOUN
ap-4125	203	32	(	(	PUNCT
ap-4125	203	33	a	a	DET
ap-4125	203	34	peak	peak	NOUN
ap-4125	203	35	trajectory	trajectory	NOUN
ap-4125	203	36	in	in	ADP
ap-4125	203	37	figure	figure	NOUN
ap-4125	203	38	2b	2b	NOUN
ap-4125	203	39	):	):	PUNCT
ap-4125	203	40	a	a	X
ap-4125	203	41	)	)	PUNCT
ap-4125	203	42	a	a	DET
ap-4125	203	43	curve	curve	NOUN
ap-4125	203	44	of	of	ADP
ap-4125	203	45	an	an	DET
ap-4125	203	46	angular	angular	ADJ
ap-4125	203	47	velocity	velocity	NOUN
ap-4125	203	48	of	of	ADP
ap-4125	203	49	the	the	DET
ap-4125	203	50	particle	particle	NOUN
ap-4125	203	51	sliding	sliding	NOUN
ap-4125	203	52	;	;	PUNCT
ap-4125	203	53	b	b	X
ap-4125	203	54	)	)	PUNCT
ap-4125	203	55	a	a	DET
ap-4125	203	56	curve	curve	NOUN
ap-4125	203	57	of	of	ADP
ap-4125	203	58	an	an	DET
ap-4125	203	59	absolute	absolute	ADJ
ap-4125	203	60	velocity	velocity	NOUN
ap-4125	203	61	of	of	ADP
ap-4125	203	62	motion	motion	NOUN
ap-4125	203	63	.	.	PUNCT
ap-4125	204	1	height	height	NOUN
ap-4125	204	2	of	of	ADP
ap-4125	204	3	particles	particle	NOUN
ap-4125	204	4	increases	increase	NOUN
ap-4125	204	5	and	and	CCONJ
ap-4125	204	6	the	the	DET
ap-4125	204	7	area	area	NOUN
ap-4125	204	8	of	of	ADP
ap-4125	204	9	particle	particle	NOUN
ap-4125	204	10	dispersion	dispersion	NOUN
ap-4125	204	11	on	on	ADP
ap-4125	204	12	a	a	DET
ap-4125	204	13	disk	disk	NOUN
ap-4125	204	14	surface	surface	NOUN
ap-4125	204	15	increases	increase	NOUN
ap-4125	204	16	as	as	ADV
ap-4125	204	17	well	well	ADV
ap-4125	204	18	.	.	PUNCT
ap-4125	205	1	figure	figure	NOUN
ap-4125	205	2	4a	4a	NOUN
ap-4125	205	3	shows	show	VERB
ap-4125	205	4	a	a	DET
ap-4125	205	5	curve	curve	NOUN
ap-4125	205	6	of	of	ADP
ap-4125	205	7	angular	angular	ADJ
ap-4125	205	8	sliding	slide	VERB
ap-4125	205	9	velocity	velocity	NOUN
ap-4125	205	10	of	of	ADP
ap-4125	205	11	a	a	DET
ap-4125	205	12	particle	particle	NOUN
ap-4125	205	13	,	,	PUNCT
ap-4125	205	14	which	which	PRON
ap-4125	205	15	gets	get	VERB
ap-4125	205	16	onto	onto	ADP
ap-4125	205	17	a	a	DET
ap-4125	205	18	blade	blade	NOUN
ap-4125	205	19	at	at	ADP
ap-4125	205	20	a	a	DET
ap-4125	205	21	point	point	NOUN
ap-4125	205	22	of	of	ADP
ap-4125	205	23	its	its	PRON
ap-4125	205	24	contacting	contact	VERB
ap-4125	205	25	a	a	DET
ap-4125	205	26	field	field	NOUN
ap-4125	205	27	surface	surface	NOUN
ap-4125	205	28	at	at	ADP
ap-4125	205	29	α	α	NOUN
ap-4125	205	30	=	=	PUNCT
ap-4125	205	31	3	3	NUM
ap-4125	205	32	°	°	NOUN
ap-4125	205	33	(	(	PUNCT
ap-4125	205	34	a	a	DET
ap-4125	205	35	peak	peak	NOUN
ap-4125	205	36	trajectory	trajectory	NOUN
ap-4125	205	37	in	in	ADP
ap-4125	205	38	figure	figure	NOUN
ap-4125	205	39	3b	3b	NUM
ap-4125	205	40	)	)	PUNCT
ap-4125	205	41	.	.	PUNCT
ap-4125	206	1	from	from	ADP
ap-4125	206	2	initial	initial	ADJ
ap-4125	206	3	value	value	NOUN
ap-4125	206	4	v′	v′	NOUN
ap-4125	206	5	=	=	PUNCT
ap-4125	206	6	−ω	−ω	NOUN
ap-4125	206	7	=	=	PUNCT
ap-4125	206	8	−9.6	−9.6	X
ap-4125	206	9	s−1	s−1	NOUN
ap-4125	206	10	,	,	PUNCT
ap-4125	206	11	the	the	DET
ap-4125	206	12	value	value	NOUN
ap-4125	206	13	of	of	ADP
ap-4125	206	14	angular	angular	ADJ
ap-4125	206	15	velocity	velocity	NOUN
ap-4125	206	16	decreases	decrease	NOUN
ap-4125	206	17	due	due	ADP
ap-4125	206	18	to	to	ADP
ap-4125	206	19	surface	surface	NOUN
ap-4125	206	20	friction	friction	NOUN
ap-4125	206	21	and	and	CCONJ
ap-4125	206	22	then	then	ADV
ap-4125	206	23	it	it	PRON
ap-4125	206	24	begins	begin	VERB
ap-4125	206	25	to	to	PART
ap-4125	206	26	increase	increase	VERB
ap-4125	206	27	when	when	SCONJ
ap-4125	206	28	a	a	DET
ap-4125	206	29	particle	particle	NOUN
ap-4125	206	30	moves	move	VERB
ap-4125	206	31	downward	downward	ADV
ap-4125	206	32	.	.	PUNCT
ap-4125	207	1	the	the	DET
ap-4125	207	2	duration	duration	NOUN
ap-4125	207	3	of	of	ADP
ap-4125	207	4	such	such	ADJ
ap-4125	207	5	movement	movement	NOUN
ap-4125	207	6	until	until	SCONJ
ap-4125	207	7	it	it	PRON
ap-4125	207	8	reaches	reach	VERB
ap-4125	207	9	the	the	DET
ap-4125	207	10	lowest	low	ADJ
ap-4125	207	11	point	point	NOUN
ap-4125	207	12	is	be	AUX
ap-4125	207	13	0.26	0.26	NUM
ap-4125	207	14	s.	s.	PROPN
ap-4125	207	15	figure	figure	NOUN
ap-4125	207	16	4b	4b	PROPN
ap-4125	207	17	shows	show	VERB
ap-4125	207	18	a	a	DET
ap-4125	207	19	curve	curve	NOUN
ap-4125	207	20	of	of	ADP
ap-4125	207	21	an	an	DET
ap-4125	207	22	absolute	absolute	ADJ
ap-4125	207	23	velocity	velocity	NOUN
ap-4125	207	24	of	of	ADP
ap-4125	207	25	particle	particle	NOUN
ap-4125	207	26	motion	motion	NOUN
ap-4125	207	27	.	.	PUNCT
ap-4125	208	1	the	the	DET
ap-4125	208	2	initial	initial	ADJ
ap-4125	208	3	value	value	NOUN
ap-4125	208	4	of	of	ADP
ap-4125	208	5	the	the	DET
ap-4125	208	6	velocity	velocity	NOUN
ap-4125	208	7	equals	equal	VERB
ap-4125	208	8	to	to	PART
ap-4125	208	9	transverse	transverse	VERB
ap-4125	208	10	component	component	PROPN
ap-4125	208	11	vm	vm	PROPN
ap-4125	208	12	sinα	sinα	PROPN
ap-4125	208	13	=	=	PROPN
ap-4125	208	14	1.25	1.25	NUM
ap-4125	208	15	m/s	m/s	PROPN
ap-4125	208	16	,	,	PUNCT
ap-4125	208	17	which	which	PRON
ap-4125	208	18	corresponds	correspond	VERB
ap-4125	208	19	to	to	ADP
ap-4125	208	20	the	the	DET
ap-4125	208	21	initial	initial	ADJ
ap-4125	208	22	angular	angular	ADJ
ap-4125	208	23	velocity	velocity	NOUN
ap-4125	208	24	u′	u′	PROPN
ap-4125	208	25	=	=	SYM
ap-4125	208	26	vm	vm	PROPN
ap-4125	208	27	sinα	sinα	PROPN
ap-4125	208	28	/	/	SYM
ap-4125	208	29	r	r	NOUN
ap-4125	208	30	=	=	SYM
ap-4125	208	31	2.5	2.5	NUM
ap-4125	208	32	s−1	s−1	NOUN
ap-4125	208	33	at	at	ADP
ap-4125	208	34	the	the	DET
ap-4125	208	35	point	point	NOUN
ap-4125	208	36	of	of	ADP
ap-4125	208	37	its	its	PRON
ap-4125	208	38	getting	get	VERB
ap-4125	208	39	onto	onto	ADP
ap-4125	208	40	the	the	DET
ap-4125	208	41	surface	surface	NOUN
ap-4125	208	42	.	.	PUNCT
ap-4125	209	1	after	after	ADP
ap-4125	209	2	this	this	PRON
ap-4125	209	3	,	,	PUNCT
ap-4125	209	4	the	the	DET
ap-4125	209	5	velocity	velocity	NOUN
ap-4125	209	6	decreases	decrease	VERB
ap-4125	209	7	,	,	PUNCT
ap-4125	209	8	which	which	PRON
ap-4125	209	9	corresponds	correspond	VERB
ap-4125	209	10	to	to	ADP
ap-4125	209	11	the	the	DET
ap-4125	209	12	rise	rise	NOUN
ap-4125	209	13	of	of	ADP
ap-4125	209	14	a	a	DET
ap-4125	209	15	particle	particle	NOUN
ap-4125	209	16	and	and	CCONJ
ap-4125	209	17	then	then	ADV
ap-4125	209	18	it	it	PRON
ap-4125	209	19	increases	increase	VERB
ap-4125	209	20	again	again	ADV
ap-4125	209	21	.	.	PUNCT
ap-4125	210	1	in	in	ADP
ap-4125	210	2	all	all	DET
ap-4125	210	3	the	the	DET
ap-4125	210	4	examples	example	NOUN
ap-4125	210	5	,	,	PUNCT
ap-4125	210	6	the	the	DET
ap-4125	210	7	coefficient	coefficient	NOUN
ap-4125	210	8	of	of	ADP
ap-4125	210	9	the	the	DET
ap-4125	210	10	particle	particle	NOUN
ap-4125	210	11	friction	friction	NOUN
ap-4125	210	12	on	on	ADP
ap-4125	210	13	a	a	DET
ap-4125	210	14	disk	disk	NOUN
ap-4125	210	15	surface	surface	NOUN
ap-4125	210	16	is	be	AUX
ap-4125	210	17	assumed	assume	VERB
ap-4125	210	18	to	to	PART
ap-4125	210	19	be	be	AUX
ap-4125	210	20	f	f	PROPN
ap-4125	210	21	=	=	SYM
ap-4125	210	22	0.3	0.3	NUM
ap-4125	210	23	.	.	PUNCT
ap-4125	211	1	the	the	DET
ap-4125	211	2	deduced	deduce	VERB
ap-4125	211	3	model	model	NOUN
ap-4125	211	4	of	of	ADP
ap-4125	211	5	particle	particle	NOUN
ap-4125	211	6	motion	motion	NOUN
ap-4125	211	7	only	only	ADV
ap-4125	211	8	vaguely	vaguely	ADV
ap-4125	211	9	describes	describe	VERB
ap-4125	211	10	the	the	DET
ap-4125	211	11	real	real	ADJ
ap-4125	211	12	process	process	NOUN
ap-4125	211	13	.	.	PUNCT
ap-4125	212	1	this	this	DET
ap-4125	212	2	model	model	NOUN
ap-4125	212	3	assumes	assume	VERB
ap-4125	212	4	that	that	SCONJ
ap-4125	212	5	further	further	ADJ
ap-4125	212	6	motion	motion	NOUN
ap-4125	212	7	of	of	ADP
ap-4125	212	8	a	a	DET
ap-4125	212	9	particle	particle	NOUN
ap-4125	212	10	,	,	PUNCT
ap-4125	212	11	after	after	SCONJ
ap-4125	212	12	it	it	PRON
ap-4125	212	13	gets	get	VERB
ap-4125	212	14	onto	onto	ADP
ap-4125	212	15	a	a	DET
ap-4125	212	16	surface	surface	NOUN
ap-4125	212	17	,	,	PUNCT
ap-4125	212	18	is	be	AUX
ap-4125	212	19	performed	perform	VERB
ap-4125	212	20	due	due	ADP
ap-4125	212	21	to	to	ADP
ap-4125	212	22	the	the	DET
ap-4125	212	23	kinetic	kinetic	ADJ
ap-4125	212	24	energy	energy	NOUN
ap-4125	212	25	of	of	ADP
ap-4125	212	26	a	a	DET
ap-4125	212	27	particle	particle	NOUN
ap-4125	212	28	at	at	ADP
ap-4125	212	29	the	the	DET
ap-4125	212	30	moment	moment	NOUN
ap-4125	212	31	of	of	ADP
ap-4125	212	32	it	it	PRON
ap-4125	212	33	getting	get	VERB
ap-4125	212	34	onto	onto	ADP
ap-4125	212	35	a	a	DET
ap-4125	212	36	disk	disk	NOUN
ap-4125	212	37	surface	surface	NOUN
ap-4125	212	38	.	.	PUNCT
ap-4125	213	1	practically	practically	ADV
ap-4125	213	2	,	,	PUNCT
ap-4125	213	3	there	there	PRON
ap-4125	213	4	are	be	VERB
ap-4125	213	5	backup	backup	ADJ
ap-4125	213	6	forces	force	NOUN
ap-4125	213	7	of	of	ADP
ap-4125	213	8	adjacent	adjacent	ADJ
ap-4125	213	9	particles	particle	NOUN
ap-4125	213	10	,	,	PUNCT
ap-4125	213	11	which	which	PRON
ap-4125	213	12	make	make	VERB
ap-4125	213	13	a	a	DET
ap-4125	213	14	particle	particle	NOUN
ap-4125	213	15	move	move	NOUN
ap-4125	213	16	on	on	ADP
ap-4125	213	17	a	a	DET
ap-4125	213	18	surface	surface	NOUN
ap-4125	213	19	.	.	PUNCT
ap-4125	214	1	it	it	PRON
ap-4125	214	2	can	can	AUX
ap-4125	214	3	be	be	AUX
ap-4125	214	4	assumed	assume	VERB
ap-4125	214	5	that	that	SCONJ
ap-4125	214	6	this	this	DET
ap-4125	214	7	backup	backup	ADJ
ap-4125	214	8	force	force	NOUN
ap-4125	214	9	breaks	break	VERB
ap-4125	214	10	friction	friction	NOUN
ap-4125	214	11	resistance	resistance	NOUN
ap-4125	214	12	force	force	NOUN
ap-4125	214	13	,	,	PUNCT
ap-4125	214	14	that	that	PRON
ap-4125	214	15	is	be	AUX
ap-4125	214	16	to	to	PART
ap-4125	214	17	say	say	VERB
ap-4125	214	18	,	,	PUNCT
ap-4125	214	19	these	these	DET
ap-4125	214	20	forces	force	NOUN
ap-4125	214	21	are	be	AUX
ap-4125	214	22	equilibrated	equilibrate	VERB
ap-4125	214	23	and	and	CCONJ
ap-4125	214	24	,	,	PUNCT
ap-4125	214	25	in	in	ADP
ap-4125	214	26	this	this	DET
ap-4125	214	27	case	case	NOUN
ap-4125	214	28	,	,	PUNCT
ap-4125	214	29	it	it	PRON
ap-4125	214	30	is	be	AUX
ap-4125	214	31	possible	possible	ADJ
ap-4125	214	32	to	to	PART
ap-4125	214	33	adopt	adopt	VERB
ap-4125	214	34	a	a	DET
ap-4125	214	35	friction	friction	NOUN
ap-4125	214	36	coefficient	coefficient	NOUN
ap-4125	214	37	f	f	AUX
ap-4125	214	38	to	to	PART
ap-4125	214	39	be	be	AUX
ap-4125	214	40	equal	equal	ADJ
ap-4125	214	41	to	to	ADP
ap-4125	214	42	zero	zero	NUM
ap-4125	214	43	.	.	PUNCT
ap-4125	215	1	however	however	ADV
ap-4125	215	2	,	,	PUNCT
ap-4125	215	3	this	this	PRON
ap-4125	215	4	is	be	AUX
ap-4125	215	5	fair	fair	ADJ
ap-4125	215	6	only	only	ADV
ap-4125	215	7	at	at	ADP
ap-4125	215	8	the	the	DET
ap-4125	215	9	stage	stage	NOUN
ap-4125	215	10	of	of	ADP
ap-4125	215	11	a	a	DET
ap-4125	215	12	particle	particle	NOUN
ap-4125	215	13	rise	rise	NOUN
ap-4125	215	14	and	and	CCONJ
ap-4125	215	15	at	at	ADP
ap-4125	215	16	the	the	DET
ap-4125	215	17	stage	stage	NOUN
ap-4125	215	18	of	of	ADP
ap-4125	215	19	its	its	PRON
ap-4125	215	20	downward	downward	ADJ
ap-4125	215	21	motion	motion	NOUN
ap-4125	215	22	,	,	PUNCT
ap-4125	215	23	the	the	DET
ap-4125	215	24	backup	backup	ADJ
ap-4125	215	25	force	force	NOUN
ap-4125	215	26	may	may	AUX
ap-4125	215	27	act	act	VERB
ap-4125	215	28	as	as	ADP
ap-4125	215	29	a	a	DET
ap-4125	215	30	decelerating	decelerate	VERB
ap-4125	215	31	force	force	NOUN
ap-4125	215	32	,	,	PUNCT
ap-4125	215	33	which	which	PRON
ap-4125	215	34	conflicts	conflict	VERB
ap-4125	215	35	with	with	ADP
ap-4125	215	36	a	a	DET
ap-4125	215	37	real	real	ADJ
ap-4125	215	38	process	process	NOUN
ap-4125	215	39	.	.	PUNCT
ap-4125	216	1	figure	figure	NOUN
ap-4125	216	2	5a	5a	NUM
ap-4125	216	3	shows	show	VERB
ap-4125	216	4	enlarged	enlarge	VERB
ap-4125	216	5	trajectories	trajectory	NOUN
ap-4125	216	6	of	of	ADP
ap-4125	216	7	absolute	absolute	ADJ
ap-4125	216	8	particle	particle	NOUN
ap-4125	216	9	motion	motion	NOUN
ap-4125	216	10	for	for	ADP
ap-4125	216	11	α	α	NOUN
ap-4125	216	12	=	=	SYM
ap-4125	216	13	3	3	NUM
ap-4125	216	14	°	°	NUM
ap-4125	216	15	at	at	ADP
ap-4125	216	16	f	f	PROPN
ap-4125	216	17	=	=	SYM
ap-4125	216	18	0.3	0.3	NUM
ap-4125	216	19	(	(	PUNCT
ap-4125	216	20	a	a	DET
ap-4125	216	21	full	full	ADJ
ap-4125	216	22	heavy	heavy	ADJ
ap-4125	216	23	line	line	NOUN
ap-4125	216	24	;	;	PUNCT
ap-4125	216	25	the	the	DET
ap-4125	216	26	same	same	ADJ
ap-4125	216	27	trajectories	trajectory	NOUN
ap-4125	216	28	in	in	ADP
ap-4125	216	29	a	a	DET
ap-4125	216	30	scaled	scale	VERB
ap-4125	216	31	-	-	PUNCT
ap-4125	216	32	down	down	ADP
ap-4125	216	33	version	version	NOUN
ap-4125	216	34	are	be	AUX
ap-4125	216	35	illustrated	illustrate	VERB
ap-4125	216	36	in	in	ADP
ap-4125	216	37	figure	figure	NOUN
ap-4125	216	38	3b	3b	NUM
ap-4125	216	39	)	)	PUNCT
ap-4125	216	40	and	and	CCONJ
ap-4125	216	41	at	at	ADP
ap-4125	216	42	f	f	PROPN
ap-4125	216	43	=	=	SYM
ap-4125	216	44	0	0	PROPN
ap-4125	216	45	(	(	PUNCT
ap-4125	216	46	a	a	DET
ap-4125	216	47	fine	fine	ADJ
ap-4125	216	48	dashed	dash	VERB
ap-4125	216	49	line	line	NOUN
ap-4125	216	50	)	)	PUNCT
ap-4125	216	51	.	.	PUNCT
ap-4125	217	1	having	having	AUX
ap-4125	217	2	analysed	analyse	VERB
ap-4125	217	3	these	these	DET
ap-4125	217	4	trajectories	trajectory	NOUN
ap-4125	217	5	,	,	PUNCT
ap-4125	217	6	it	it	PRON
ap-4125	217	7	can	can	AUX
ap-4125	217	8	be	be	AUX
ap-4125	217	9	concluded	conclude	VERB
ap-4125	217	10	that	that	SCONJ
ap-4125	217	11	the	the	DET
ap-4125	217	12	value	value	NOUN
ap-4125	217	13	of	of	ADP
ap-4125	217	14	friction	friction	NOUN
ap-4125	217	15	coefficient	coefficient	NOUN
ap-4125	217	16	has	have	VERB
ap-4125	217	17	a	a	DET
ap-4125	217	18	minor	minor	ADJ
ap-4125	217	19	influence	influence	NOUN
ap-4125	217	20	on	on	ADP
ap-4125	217	21	the	the	DET
ap-4125	217	22	trajectory	trajectory	NOUN
ap-4125	217	23	of	of	ADP
ap-4125	217	24	the	the	DET
ap-4125	217	25	absolute	absolute	ADJ
ap-4125	217	26	motion	motion	NOUN
ap-4125	217	27	.	.	PUNCT
ap-4125	218	1	the	the	DET
ap-4125	218	2	increase	increase	NOUN
ap-4125	218	3	of	of	ADP
ap-4125	218	4	the	the	DET
ap-4125	218	5	coefficient	coefficient	NOUN
ap-4125	218	6	of	of	ADP
ap-4125	218	7	the	the	DET
ap-4125	218	8	soil	soil	NOUN
ap-4125	218	9	friction	friction	NOUN
ap-4125	218	10	on	on	ADP
ap-4125	218	11	a	a	DET
ap-4125	218	12	disk	disk	NOUN
ap-4125	218	13	surface	surface	NOUN
ap-4125	218	14	from	from	ADP
ap-4125	218	15	f	f	PROPN
ap-4125	218	16	=	=	SYM
ap-4125	218	17	0	0	PROPN
ap-4125	218	18	to	to	ADP
ap-4125	218	19	f	f	PROPN
ap-4125	218	20	=	=	SYM
ap-4125	218	21	0.3	0.3	NUM
ap-4125	218	22	results	result	NOUN
ap-4125	218	23	in	in	ADP
ap-4125	218	24	the	the	DET
ap-4125	218	25	change	change	NOUN
ap-4125	218	26	of	of	ADP
ap-4125	218	27	motion	motion	NOUN
ap-4125	218	28	trajectories	trajectory	NOUN
ap-4125	218	29	of	of	ADP
ap-4125	218	30	soil	soil	NOUN
ap-4125	218	31	particles	particle	NOUN
ap-4125	218	32	at	at	ADP
ap-4125	218	33	an	an	DET
ap-4125	218	34	incidence	incidence	ADJ
ap-4125	218	35	angle	angle	NOUN
ap-4125	218	36	of	of	ADP
ap-4125	218	37	α	α	NOUN
ap-4125	218	38	=	=	PUNCT
ap-4125	218	39	30	30	NUM
ap-4125	218	40	°	°	NOUN
ap-4125	218	41	in	in	ADP
ap-4125	218	42	case	case	NOUN
ap-4125	218	43	when	when	SCONJ
ap-4125	218	44	a	a	DET
ap-4125	218	45	disk	disk	NOUN
ap-4125	218	46	rotates	rotate	NOUN
ap-4125	218	47	at	at	ADP
ap-4125	218	48	angular	angular	ADJ
ap-4125	218	49	velocity	velocity	NOUN
ap-4125	218	50	being	be	AUX
ap-4125	218	51	ω	ω	NOUN
ap-4125	218	52	=	=	NOUN
ap-4125	218	53	9.6	9.6	NUM
ap-4125	218	54	s−1	s−1	NOUN
ap-4125	218	55	within	within	ADP
ap-4125	218	56	the	the	DET
ap-4125	218	57	range	range	NOUN
ap-4125	218	58	of	of	ADP
ap-4125	218	59	3–6	3–6	NUM
ap-4125	218	60	%	%	NOUN
ap-4125	218	61	.	.	PUNCT
ap-4125	219	1	but	but	CCONJ
ap-4125	219	2	the	the	DET
ap-4125	219	3	same	same	ADJ
ap-4125	219	4	can	can	AUX
ap-4125	219	5	not	not	PART
ap-4125	219	6	be	be	AUX
ap-4125	219	7	stated	state	VERB
ap-4125	219	8	in	in	ADP
ap-4125	219	9	relation	relation	NOUN
ap-4125	219	10	to	to	ADP
ap-4125	219	11	a	a	DET
ap-4125	219	12	stationary	stationary	ADJ
ap-4125	219	13	disk	disk	NOUN
ap-4125	219	14	,	,	PUNCT
ap-4125	219	15	that	that	PRON
ap-4125	219	16	is	be	AUX
ap-4125	219	17	at	at	ADP
ap-4125	219	18	ω	ω	NOUN
ap-4125	219	19	=	=	SYM
ap-4125	219	20	0	0	PUNCT
ap-4125	220	1	(	(	PUNCT
ap-4125	220	2	for	for	ADP
ap-4125	220	3	example	example	NOUN
ap-4125	220	4	,	,	PUNCT
ap-4125	220	5	the	the	DET
ap-4125	220	6	one	one	NOUN
ap-4125	220	7	that	that	PRON
ap-4125	220	8	is	be	AUX
ap-4125	220	9	jammed	jammed	ADJ
ap-4125	220	10	)	)	PUNCT
ap-4125	220	11	.	.	PUNCT
ap-4125	221	1	figure	figure	NOUN
ap-4125	221	2	5b	5b	PROPN
ap-4125	221	3	shows	show	VERB
ap-4125	221	4	the	the	DET
ap-4125	221	5	absolute	absolute	ADJ
ap-4125	221	6	trajectories	trajectory	NOUN
ap-4125	221	7	at	at	ADP
ap-4125	221	8	the	the	DET
ap-4125	221	9	same	same	ADJ
ap-4125	221	10	parameter	parameter	NOUN
ap-4125	221	11	values	value	NOUN
ap-4125	221	12	but	but	CCONJ
ap-4125	221	13	for	for	ADP
ap-4125	221	14	a	a	DET
ap-4125	221	15	stationary	stationary	ADJ
ap-4125	221	16	disk	disk	NOUN
ap-4125	221	17	.	.	PUNCT
ap-4125	222	1	the	the	DET
ap-4125	222	2	increase	increase	NOUN
ap-4125	222	3	of	of	ADP
ap-4125	222	4	the	the	DET
ap-4125	222	5	coefficient	coefficient	NOUN
ap-4125	222	6	of	of	ADP
ap-4125	222	7	soil	soil	NOUN
ap-4125	222	8	friction	friction	NOUN
ap-4125	222	9	on	on	ADP
ap-4125	222	10	a	a	DET
ap-4125	222	11	disk	disk	NOUN
ap-4125	222	12	surface	surface	NOUN
ap-4125	222	13	from	from	ADP
ap-4125	222	14	f	f	PROPN
ap-4125	222	15	=	=	SYM
ap-4125	222	16	0	0	PROPN
ap-4125	222	17	to	to	ADP
ap-4125	222	18	f	f	PROPN
ap-4125	222	19	=	=	SYM
ap-4125	222	20	0.3	0.3	NUM
ap-4125	222	21	results	result	NOUN
ap-4125	222	22	in	in	ADP
ap-4125	222	23	the	the	DET
ap-4125	222	24	change	change	NOUN
ap-4125	222	25	of	of	ADP
ap-4125	222	26	motion	motion	NOUN
ap-4125	222	27	trajectories	trajectory	NOUN
ap-4125	222	28	of	of	ADP
ap-4125	222	29	soil	soil	NOUN
ap-4125	222	30	particles	particle	NOUN
ap-4125	222	31	205	205	NUM
ap-4125	222	32	s.	s.	PROPN
ap-4125	222	33	f.	f.	PROPN
ap-4125	222	34	pylypaka	pylypaka	PROPN
ap-4125	222	35	,	,	PUNCT
ap-4125	222	36	m.	m.	PROPN
ap-4125	222	37	e.	e.	PROPN
ap-4125	222	38	klendii	klendii	PROPN
ap-4125	222	39	,	,	PUNCT
ap-4125	222	40	o.	o.	PROPN
ap-4125	222	41	m.	m.	PROPN
ap-4125	222	42	klendii	klendii	PROPN
ap-4125	222	43	acta	acta	PROPN
ap-4125	222	44	polytechnica	polytechnica	PROPN
ap-4125	222	45	trajectories	trajectory	NOUN
ap-4125	222	46	,	,	PUNCT
ap-4125	222	47	it	it	PRON
ap-4125	222	48	can	can	AUX
ap-4125	222	49	be	be	AUX
ap-4125	222	50	concluded	conclude	VERB
ap-4125	222	51	that	that	SCONJ
ap-4125	222	52	the	the	DET
ap-4125	222	53	value	value	NOUN
ap-4125	222	54	of	of	ADP
ap-4125	222	55	friction	friction	NOUN
ap-4125	222	56	coefficient	coefficient	NOUN
ap-4125	222	57	has	have	VERB
ap-4125	222	58	minor	minor	ADJ
ap-4125	222	59	influence	influence	NOUN
ap-4125	222	60	on	on	ADP
ap-4125	222	61	the	the	DET
ap-4125	222	62	trajectory	trajectory	NOUN
ap-4125	222	63	of	of	ADP
ap-4125	222	64	absolute	absolute	ADJ
ap-4125	222	65	motion	motion	NOUN
ap-4125	222	66	.	.	PUNCT
ap-4125	223	1	the	the	DET
ap-4125	223	2	increase	increase	NOUN
ap-4125	223	3	of	of	ADP
ap-4125	223	4	the	the	DET
ap-4125	223	5	coefficient	coefficient	NOUN
ap-4125	223	6	of	of	ADP
ap-4125	223	7	soil	soil	NOUN
ap-4125	223	8	friction	friction	NOUN
ap-4125	223	9	on	on	ADP
ap-4125	223	10	a	a	DET
ap-4125	223	11	disk	disk	NOUN
ap-4125	223	12	surface	surface	NOUN
ap-4125	223	13	from	from	ADP
ap-4125	223	14	f=0	f=0	NOUN
ap-4125	223	15	to	to	ADP
ap-4125	223	16	f=0.3	f=0.3	NOUN
ap-4125	223	17	results	result	NOUN
ap-4125	223	18	in	in	ADP
ap-4125	223	19	the	the	DET
ap-4125	223	20	change	change	NOUN
ap-4125	223	21	of	of	ADP
ap-4125	223	22	motion	motion	NOUN
ap-4125	223	23	trajectories	trajectory	NOUN
ap-4125	223	24	of	of	ADP
ap-4125	223	25	soil	soil	NOUN
ap-4125	223	26	particles	particle	NOUN
ap-4125	223	27	at	at	ADP
ap-4125	223	28	an	an	DET
ap-4125	223	29	incidence	incidence	NOUN
ap-4125	223	30	angle	angle	NOUN
ap-4125	223	31	being	be	AUX
ap-4125	223	32	α=30º	α=30º	PROPN
ap-4125	223	33	in	in	ADP
ap-4125	223	34	case	case	NOUN
ap-4125	223	35	when	when	SCONJ
ap-4125	223	36	a	a	DET
ap-4125	223	37	disk	disk	NOUN
ap-4125	223	38	rotates	rotate	NOUN
ap-4125	223	39	at	at	ADP
ap-4125	223	40	angular	angular	ADJ
ap-4125	223	41	velocity	velocity	NOUN
ap-4125	223	42	being	be	AUX
ap-4125	223	43	ω=9,6	ω=9,6	ADJ
ap-4125	223	44	s-1	s-1	NOUN
ap-4125	223	45	within	within	ADP
ap-4125	223	46	the	the	DET
ap-4125	223	47	range	range	NOUN
ap-4125	223	48	of	of	ADP
ap-4125	223	49	3	3	NUM
ap-4125	223	50	…	…	SYM
ap-4125	223	51	6	6	NUM
ap-4125	223	52	%	%	NOUN
ap-4125	223	53	.	.	PUNCT
ap-4125	224	1	but	but	CCONJ
ap-4125	224	2	the	the	DET
ap-4125	224	3	same	same	ADJ
ap-4125	224	4	can	can	AUX
ap-4125	224	5	not	not	PART
ap-4125	224	6	be	be	AUX
ap-4125	224	7	stated	state	VERB
ap-4125	224	8	in	in	ADP
ap-4125	224	9	relation	relation	NOUN
ap-4125	224	10	to	to	ADP
ap-4125	224	11	a	a	DET
ap-4125	224	12	stationary	stationary	ADJ
ap-4125	224	13	disk	disk	NOUN
ap-4125	224	14	,	,	PUNCT
ap-4125	224	15	that	that	PRON
ap-4125	224	16	is	be	AUX
ap-4125	224	17	at	at	ADP
ap-4125	224	18	ω=0	ω=0	X
ap-4125	224	19	(	(	PUNCT
ap-4125	224	20	for	for	ADP
ap-4125	224	21	example	example	NOUN
ap-4125	224	22	,	,	PUNCT
ap-4125	224	23	the	the	DET
ap-4125	224	24	one	one	NOUN
ap-4125	224	25	that	that	PRON
ap-4125	224	26	is	be	AUX
ap-4125	224	27	jammed	jammed	ADJ
ap-4125	224	28	)	)	PUNCT
ap-4125	224	29	.	.	PUNCT
ap-4125	225	1	fig	fig	NOUN
ap-4125	225	2	.	.	PUNCT
ap-4125	226	1	5,b	5,b	NUM
ap-4125	226	2	shows	show	VERB
ap-4125	226	3	absolute	absolute	ADJ
ap-4125	226	4	trajectories	trajectory	NOUN
ap-4125	226	5	at	at	ADP
ap-4125	226	6	the	the	DET
ap-4125	226	7	same	same	ADJ
ap-4125	226	8	parameter	parameter	NOUN
ap-4125	226	9	values	value	NOUN
ap-4125	226	10	but	but	CCONJ
ap-4125	226	11	for	for	ADP
ap-4125	226	12	a	a	DET
ap-4125	226	13	stationary	stationary	ADJ
ap-4125	226	14	disk	disk	NOUN
ap-4125	226	15	.	.	PUNCT
ap-4125	227	1	the	the	DET
ap-4125	227	2	increase	increase	NOUN
ap-4125	227	3	of	of	ADP
ap-4125	227	4	the	the	DET
ap-4125	227	5	coefficient	coefficient	NOUN
ap-4125	227	6	of	of	ADP
ap-4125	227	7	soil	soil	NOUN
ap-4125	227	8	friction	friction	NOUN
ap-4125	227	9	on	on	ADP
ap-4125	227	10	a	a	DET
ap-4125	227	11	disk	disk	NOUN
ap-4125	227	12	surface	surface	NOUN
ap-4125	227	13	from	from	ADP
ap-4125	227	14	f=0	f=0	NOUN
ap-4125	227	15	to	to	ADP
ap-4125	227	16	f=0.3	f=0.3	NOUN
ap-4125	227	17	results	result	NOUN
ap-4125	227	18	in	in	ADP
ap-4125	227	19	the	the	DET
ap-4125	227	20	change	change	NOUN
ap-4125	227	21	of	of	ADP
ap-4125	227	22	motion	motion	NOUN
ap-4125	227	23	trajectories	trajectory	NOUN
ap-4125	227	24	of	of	ADP
ap-4125	227	25	soil	soil	NOUN
ap-4125	227	26	particles	particle	NOUN
ap-4125	227	27	at	at	ADP
ap-4125	227	28	an	an	DET
ap-4125	227	29	incidence	incidence	NOUN
ap-4125	227	30	angle	angle	NOUN
ap-4125	227	31	being	be	AUX
ap-4125	227	32	α=300	α=300	NUM
ap-4125	227	33	in	in	ADP
ap-4125	227	34	case	case	NOUN
ap-4125	227	35	when	when	SCONJ
ap-4125	227	36	a	a	DET
ap-4125	227	37	disk	disk	NOUN
ap-4125	227	38	is	be	AUX
ap-4125	227	39	jammed	jam	VERB
ap-4125	227	40	within	within	ADP
ap-4125	227	41	the	the	DET
ap-4125	227	42	range	range	NOUN
ap-4125	227	43	of	of	ADP
ap-4125	227	44	12	12	NUM
ap-4125	227	45	…	…	SYM
ap-4125	227	46	20	20	NUM
ap-4125	227	47	%	%	NOUN
ap-4125	227	48	.	.	PUNCT
ap-4125	228	1	it	it	PRON
ap-4125	228	2	is	be	AUX
ap-4125	228	3	worth	worth	ADJ
ap-4125	228	4	mentioning	mention	VERB
ap-4125	228	5	that	that	SCONJ
ap-4125	228	6	the	the	DET
ap-4125	228	7	trajectories	trajectory	NOUN
ap-4125	228	8	,	,	PUNCT
ap-4125	228	9	which	which	PRON
ap-4125	228	10	are	be	AUX
ap-4125	228	11	plotted	plot	VERB
ap-4125	228	12	using	use	VERB
ap-4125	228	13	dashed	dash	VERB
ap-4125	228	14	lines	line	NOUN
ap-4125	228	15	in	in	ADP
ap-4125	228	16	fig	fig	NOUN
ap-4125	228	17	.	.	PUNCT
ap-4125	229	1	5,a	5,a	ADV
ap-4125	229	2	and	and	CCONJ
ap-4125	229	3	fig	fig	NOUN
ap-4125	229	4	.	.	PUNCT
ap-4125	230	1	5,b	5,b	NUM
ap-4125	230	2	and	and	CCONJ
ap-4125	230	3	absolutely	absolutely	ADV
ap-4125	230	4	the	the	DET
ap-4125	230	5	same	same	ADJ
ap-4125	230	6	.	.	PUNCT
ap-4125	231	1	it	it	PRON
ap-4125	231	2	means	mean	VERB
ap-4125	231	3	that	that	SCONJ
ap-4125	231	4	when	when	SCONJ
ap-4125	231	5	there	there	PRON
ap-4125	231	6	is	be	VERB
ap-4125	231	7	no	no	DET
ap-4125	231	8	friction	friction	NOUN
ap-4125	231	9	,	,	PUNCT
ap-4125	231	10	that	that	PRON
ap-4125	231	11	is	be	AUX
ap-4125	231	12	to	to	PART
ap-4125	231	13	say	say	VERB
ap-4125	231	14	,	,	PUNCT
ap-4125	231	15	a	a	DET
ap-4125	231	16	surface	surface	NOUN
ap-4125	231	17	is	be	AUX
ap-4125	231	18	perfectly	perfectly	ADV
ap-4125	231	19	smooth	smooth	ADJ
ap-4125	231	20	,	,	PUNCT
ap-4125	231	21	an	an	DET
ap-4125	231	22	absolute	absolute	ADJ
ap-4125	231	23	trajectory	trajectory	NOUN
ap-4125	231	24	does	do	AUX
ap-4125	231	25	not	not	PART
ap-4125	231	26	depend	depend	VERB
ap-4125	231	27	on	on	ADP
ap-4125	231	28	the	the	DET
ap-4125	231	29	value	value	NOUN
ap-4125	231	30	of	of	ADP
ap-4125	231	31	angular	angular	ADJ
ap-4125	231	32	velocity	velocity	NOUN
ap-4125	231	33	of	of	ADP
ap-4125	231	34	its	its	PRON
ap-4125	231	35	rotation	rotation	NOUN
ap-4125	231	36	.	.	PUNCT
ap-4125	232	1	friction	friction	NOUN
ap-4125	232	2	forces	force	NOUN
ap-4125	232	3	influence	influence	VERB
ap-4125	232	4	the	the	DET
ap-4125	232	5	trajectories	trajectory	NOUN
ap-4125	232	6	of	of	ADP
ap-4125	232	7	particle	particle	NOUN
ap-4125	232	8	motion	motion	NOUN
ap-4125	232	9	on	on	ADP
ap-4125	232	10	a	a	DET
ap-4125	232	11	stationary	stationary	ADJ
ap-4125	232	12	disk	disk	NOUN
ap-4125	232	13	and	and	CCONJ
ap-4125	232	14	a	a	DET
ap-4125	232	15	moving	move	VERB
ap-4125	232	16	one	one	NUM
ap-4125	232	17	.	.	PUNCT
ap-4125	233	1	in	in	ADP
ap-4125	233	2	both	both	DET
ap-4125	233	3	cases	case	NOUN
ap-4125	233	4	the	the	DET
ap-4125	233	5	trajectories	trajectory	NOUN
ap-4125	233	6	the	the	PRON
ap-4125	233	7	differ	differ	VERB
ap-4125	233	8	within	within	ADP
ap-4125	233	9	the	the	DET
ap-4125	233	10	range	range	NOUN
ap-4125	233	11	of	of	ADP
ap-4125	233	12	4	4	NUM
ap-4125	233	13	…	…	SYM
ap-4125	233	14	7	7	NUM
ap-4125	233	15	%	%	NOUN
ap-4125	233	16	.	.	PUNCT
ap-4125	234	1	at	at	ADP
ap-4125	234	2	the	the	DET
ap-4125	234	3	stage	stage	NOUN
ap-4125	234	4	of	of	ADP
ap-4125	234	5	particle	particle	NOUN
ap-4125	234	6	rise	rise	NOUN
ap-4125	234	7	and	and	CCONJ
ap-4125	234	8	they	they	PRON
ap-4125	234	9	differ	differ	VERB
ap-4125	234	10	within	within	ADP
ap-4125	234	11	the	the	DET
ap-4125	234	12	range	range	NOUN
ap-4125	234	13	of	of	ADP
ap-4125	234	14	12	12	NUM
ap-4125	234	15	…	…	SYM
ap-4125	234	16	18	18	NUM
ap-4125	234	17	%	%	NOUN
ap-4125	234	18	.	.	PUNCT
ap-4125	235	1	at	at	ADP
ap-4125	235	2	the	the	DET
ap-4125	235	3	stage	stage	NOUN
ap-4125	235	4	of	of	ADP
ap-4125	235	5	particle	particle	NOUN
ap-4125	235	6	downward	downward	ADJ
ap-4125	235	7	movement	movement	NOUN
ap-4125	235	8	.	.	PUNCT
ap-4125	236	1	this	this	PRON
ap-4125	236	2	can	can	AUX
ap-4125	236	3	be	be	AUX
ap-4125	236	4	explained	explain	VERB
ap-4125	236	5	by	by	ADP
ap-4125	236	6	the	the	DET
ap-4125	236	7	fact	fact	NOUN
ap-4125	236	8	that	that	SCONJ
ap-4125	236	9	friction	friction	NOUN
ap-4125	236	10	forces	force	NOUN
ap-4125	236	11	on	on	ADP
ap-4125	236	12	a	a	DET
ap-4125	236	13	moving	move	VERB
ap-4125	236	14	disk	disk	NOUN
ap-4125	236	15	draw	draw	VERB
ap-4125	236	16	a	a	DET
ap-4125	236	17	particle	particle	NOUN
ap-4125	236	18	in	in	ADP
ap-4125	236	19	the	the	DET
ap-4125	236	20	direction	direction	NOUN
ap-4125	236	21	of	of	ADP
ap-4125	236	22	its	its	PRON
ap-4125	236	23	rotation	rotation	NOUN
ap-4125	236	24	.	.	PUNCT
ap-4125	237	1	a	a	DET
ap-4125	237	2	b	b	NOUN
ap-4125	237	3	fig	fig	NOUN
ap-4125	237	4	.	.	PUNCT
ap-4125	238	1	5	5	NUM
ap-4125	238	2	.	.	NOUN
ap-4125	238	3	disk	disk	NOUN
ap-4125	238	4	segments	segment	NOUN
ap-4125	238	5	with	with	ADP
ap-4125	238	6	plotted	plot	VERB
ap-4125	238	7	absolute	absolute	ADJ
ap-4125	238	8	trajectories	trajectory	NOUN
ap-4125	238	9	of	of	ADP
ap-4125	238	10	particle	particle	NOUN
ap-4125	238	11	motion	motion	NOUN
ap-4125	238	12	at	at	ADP
ap-4125	238	13	incidence	incidence	NOUN
ap-4125	238	14	angle	angle	NOUN
ap-4125	238	15	α=30º	α=30º	PROPN
ap-4125	238	16	and	and	CCONJ
ap-4125	238	17	various	various	ADJ
ap-4125	238	18	friction	friction	NOUN
ap-4125	238	19	coefficients	coefficient	NOUN
ap-4125	238	20	(	(	PUNCT
ap-4125	238	21	a	a	DET
ap-4125	238	22	full	full	ADJ
ap-4125	238	23	line	line	NOUN
ap-4125	238	24	at	at	ADP
ap-4125	238	25	f=0.3	f=0.3	NOUN
ap-4125	238	26	and	and	CCONJ
ap-4125	238	27	a	a	DET
ap-4125	238	28	dashed	dash	VERB
ap-4125	238	29	line	line	NOUN
ap-4125	238	30	at	at	ADP
ap-4125	238	31	f=0	f=0	PROPN
ap-4125	238	32	):	):	PUNCT
ap-4125	238	33	а	а	PROPN
ap-4125	238	34	)	)	PUNCT
ap-4125	238	35	a	a	DET
ap-4125	238	36	disk	disk	NOUN
ap-4125	238	37	rotates	rotate	NOUN
ap-4125	238	38	at	at	ADP
ap-4125	238	39	angular	angular	ADJ
ap-4125	238	40	velocity	velocity	NOUN
ap-4125	238	41	being	be	AUX
ap-4125	238	42	ω=9.6	ω=9.6	NOUN
ap-4125	238	43	s-1;б	s-1;б	NOUN
ap-4125	238	44	)	)	PUNCT
ap-4125	238	45	a	a	DET
ap-4125	238	46	disk	disk	NOUN
ap-4125	238	47	is	be	AUX
ap-4125	238	48	stationary	stationary	ADJ
ap-4125	238	49	(	(	PUNCT
ap-4125	238	50	ω=0	ω=0	NOUN
ap-4125	238	51	)	)	PUNCT
ap-4125	238	52	investigation	investigation	NOUN
ap-4125	238	53	of	of	ADP
ap-4125	238	54	the	the	DET
ap-4125	238	55	kinematic	kinematic	ADJ
ap-4125	238	56	parameters	parameter	NOUN
ap-4125	238	57	of	of	ADP
ap-4125	238	58	movement	movement	NOUN
ap-4125	238	59	of	of	ADP
ap-4125	238	60	soil	soil	NOUN
ap-4125	238	61	particles	particle	NOUN
ap-4125	238	62	on	on	ADP
ap-4125	238	63	the	the	DET
ap-4125	238	64	inner	inner	ADJ
ap-4125	238	65	surface	surface	NOUN
ap-4125	238	66	of	of	ADP
ap-4125	238	67	disk	disk	NOUN
ap-4125	238	68	working	work	VERB
ap-4125	238	69	body	body	NOUN
ap-4125	238	70	that	that	PRON
ap-4125	238	71	rotates	rotate	VERB
ap-4125	238	72	around	around	ADP
ap-4125	238	73	a	a	DET
ap-4125	238	74	horizontal	horizontal	ADJ
ap-4125	238	75	axis	axis	NOUN
ap-4125	238	76	and	and	CCONJ
ap-4125	238	77	moves	move	NOUN
ap-4125	238	78	at	at	ADP
ap-4125	238	79	an	an	DET
ap-4125	238	80	angle	angle	NOUN
ap-4125	238	81	of	of	ADP
ap-4125	238	82	attack	attack	NOUN
ap-4125	238	83	in	in	ADP
ap-4125	238	84	relation	relation	NOUN
ap-4125	238	85	to	to	ADP
ap-4125	238	86	the	the	DET
ap-4125	238	87	movement	movement	NOUN
ap-4125	238	88	of	of	ADP
ap-4125	238	89	the	the	DET
ap-4125	238	90	unit	unit	NOUN
ap-4125	238	91	,	,	PUNCT
ap-4125	238	92	facilitates	facilitate	VERB
ap-4125	238	93	the	the	DET
ap-4125	238	94	design	design	NOUN
ap-4125	238	95	of	of	ADP
ap-4125	238	96	disk	disk	NOUN
ap-4125	238	97	tillage	tillage	NOUN
ap-4125	238	98	tools	tool	NOUN
ap-4125	238	99	working	work	VERB
ap-4125	238	100	bodies	body	NOUN
ap-4125	238	101	.	.	PUNCT
ap-4125	239	1	also	also	ADV
ap-4125	239	2	investigation	investigation	NOUN
ap-4125	239	3	of	of	ADP
ap-4125	239	4	such	such	ADJ
ap-4125	239	5	motion	motion	NOUN
ap-4125	239	6	by	by	ADP
ap-4125	239	7	the	the	DET
ap-4125	239	8	example	example	NOUN
ap-4125	239	9	of	of	ADP
ap-4125	239	10	a	a	DET
ap-4125	239	11	separate	separate	ADJ
ap-4125	239	12	particle	particle	NOUN
ap-4125	239	13	allows	allow	VERB
ap-4125	239	14	understanding	understand	VERB
ap-4125	239	15	the	the	DET
ap-4125	239	16	nature	nature	NOUN
ap-4125	239	17	of	of	ADP
ap-4125	239	18	particle	particle	NOUN
ap-4125	239	19	movement	movement	NOUN
ap-4125	239	20	and	and	CCONJ
ap-4125	239	21	determining	determine	VERB
ap-4125	239	22	the	the	DET
ap-4125	239	23	influence	influence	NOUN
ap-4125	239	24	of	of	ADP
ap-4125	239	25	the	the	DET
ap-4125	239	26	parameters	parameter	NOUN
ap-4125	239	27	of	of	ADP
ap-4125	239	28	disk	disk	NOUN
ap-4125	239	29	mounting	mount	VERB
ap-4125	239	30	on	on	ADP
ap-4125	239	31	their	their	PRON
ap-4125	239	32	behavior	behavior	NOUN
ap-4125	239	33	.	.	PUNCT
ap-4125	240	1	on	on	ADP
ap-4125	240	2	the	the	DET
ap-4125	240	3	basis	basis	NOUN
ap-4125	240	4	of	of	ADP
ap-4125	240	5	field	field	NOUN
ap-4125	240	6	experiments	experiment	NOUN
ap-4125	240	7	it	it	PRON
ap-4125	240	8	has	have	AUX
ap-4125	240	9	been	be	AUX
ap-4125	240	10	determined	determine	VERB
ap-4125	240	11	that	that	SCONJ
ap-4125	240	12	,	,	PUNCT
ap-4125	240	13	the	the	DET
ap-4125	240	14	production	production	NOUN
ap-4125	240	15	process	process	NOUN
ap-4125	240	16	quality	quality	NOUN
ap-4125	240	17	of	of	ADP
ap-4125	240	18	tillage	tillage	NOUN
ap-4125	240	19	machine	machine	NOUN
ap-4125	240	20	meets	meet	VERB
ap-4125	240	21	agrotechnical	agrotechnical	ADJ
ap-4125	240	22	requirements	requirement	NOUN
ap-4125	240	23	.	.	PUNCT
ap-4125	241	1	in	in	ADP
ap-4125	241	2	the	the	DET
ap-4125	241	3	process	process	NOUN
ap-4125	241	4	of	of	ADP
ap-4125	241	5	the	the	DET
ap-4125	241	6	experimental	experimental	ADJ
ap-4125	241	7	studies	study	NOUN
ap-4125	241	8	of	of	ADP
ap-4125	241	9	a	a	DET
ap-4125	241	10	spherical	spherical	ADJ
ap-4125	241	11	cultivating	cultivating	NOUN
ap-4125	241	12	disk	disk	NOUN
ap-4125	241	13	the	the	DET
ap-4125	241	14	following	follow	VERB
ap-4125	241	15	parameters	parameter	NOUN
ap-4125	241	16	were	be	AUX
ap-4125	241	17	variable	variable	ADJ
ap-4125	241	18	:	:	PUNCT
ap-4125	241	19	angular	angular	ADJ
ap-4125	241	20	velocity	velocity	NOUN
ap-4125	241	21	of	of	ADP
ap-4125	241	22	disk	disk	NOUN
ap-4125	241	23	rotation	rotation	NOUN
ap-4125	241	24	ω=0	ω=0	PROPN
ap-4125	241	25	...	...	PUNCT
ap-4125	241	26	10	10	NUM
ap-4125	241	27	s-1	s-1	NOUN
ap-4125	241	28	;	;	PUNCT
ap-4125	241	29	an	an	DET
ap-4125	241	30	incidence	incidence	NOUN
ap-4125	241	31	angle	angle	NOUN
ap-4125	241	32	of	of	ADP
ap-4125	241	33	disk	disk	NOUN
ap-4125	241	34	α	α	NOUN
ap-4125	241	35	=	=	SYM
ap-4125	241	36	20º	20º	NOUN
ap-4125	241	37	...	...	PUNCT
ap-4125	241	38	30º	30º	NOUN
ap-4125	241	39	and	and	CCONJ
ap-4125	241	40	friction	friction	NOUN
ap-4125	241	41	coefficient	coefficient	NOUN
ap-4125	241	42	f	f	PROPN
ap-4125	241	43	=	=	NOUN
ap-4125	241	44	0.2	0.2	NUM
ap-4125	241	45	…	…	SYM
ap-4125	241	46	0.4	0.4	NUM
ap-4125	241	47	.	.	PUNCT
ap-4125	242	1	after	after	ADP
ap-4125	242	2	processing	process	VERB
ap-4125	242	3	numerical	numerical	ADJ
ap-4125	242	4	values	value	NOUN
ap-4125	242	5	,	,	PUNCT
ap-4125	242	6	regression	regression	NOUN
ap-4125	242	7	equations	equation	NOUN
ap-4125	242	8	,	,	PUNCT
ap-4125	242	9	which	which	PRON
ap-4125	242	10	define	define	VERB
ap-4125	242	11	the	the	DET
ap-4125	242	12	area	area	NOUN
ap-4125	242	13	of	of	ADP
ap-4125	242	14	particle	particle	NOUN
ap-4125	242	15	dispersion	dispersion	NOUN
ap-4125	242	16	s	s	VERB
ap-4125	242	17	according	accord	VERB
ap-4125	242	18	to	to	ADP
ap-4125	242	19	the	the	DET
ap-4125	242	20	change	change	NOUN
ap-4125	242	21	of	of	ADP
ap-4125	242	22	the	the	DET
ap-4125	242	23	above	above	ADJ
ap-4125	242	24	mentioned	mention	VERB
ap-4125	242	25	parameters	parameter	NOUN
ap-4125	242	26	,	,	PUNCT
ap-4125	242	27	have	have	AUX
ap-4125	242	28	been	be	AUX
ap-4125	242	29	obtained	obtain	VERB
ap-4125	242	30	:	:	PUNCT
ap-4125	242	31	9.97	9.97	NUM
ap-4125	242	32	3.46	3.46	NUM
ap-4125	242	33	1.76	1.76	NUM
ap-4125	242	34	4.64s	4.64s	NUM
ap-4125	242	35			NOUN
ap-4125	242	36			X
ap-4125	242	37			X
ap-4125	242	38			X
ap-4125	242	39			PROPN
ap-4125	242	40			NUM
ap-4125	242	41			ADJ
ap-4125	242	42			ADJ
ap-4125	242	43			NOUN
ap-4125	242	44			PROPN
ap-4125	242	45			PROPN
ap-4125	242	46	.	.	PUNCT
ap-4125	243	1	(	(	PUNCT
ap-4125	243	2	13	13	NUM
ap-4125	243	3	)	)	PUNCT
ap-4125	243	4	figure	figure	NOUN
ap-4125	243	5	5	5	NUM
ap-4125	243	6	.	.	PUNCT
ap-4125	243	7	disk	disk	NOUN
ap-4125	243	8	segments	segment	NOUN
ap-4125	243	9	with	with	ADP
ap-4125	243	10	plotted	plot	VERB
ap-4125	243	11	absolute	absolute	ADJ
ap-4125	243	12	trajectories	trajectory	NOUN
ap-4125	243	13	of	of	ADP
ap-4125	243	14	particle	particle	NOUN
ap-4125	243	15	motion	motion	NOUN
ap-4125	243	16	at	at	ADP
ap-4125	243	17	an	an	DET
ap-4125	243	18	incidence	incidence	ADJ
ap-4125	243	19	angle	angle	NOUN
ap-4125	243	20	of	of	ADP
ap-4125	243	21	α	α	NOUN
ap-4125	243	22	=	=	PUNCT
ap-4125	243	23	30	30	NUM
ap-4125	243	24	°	°	NUM
ap-4125	243	25	and	and	CCONJ
ap-4125	243	26	various	various	ADJ
ap-4125	243	27	friction	friction	NOUN
ap-4125	243	28	coefficients	coefficient	NOUN
ap-4125	243	29	(	(	PUNCT
ap-4125	243	30	a	a	DET
ap-4125	243	31	full	full	ADJ
ap-4125	243	32	line	line	NOUN
ap-4125	243	33	at	at	ADP
ap-4125	243	34	f	f	PROPN
ap-4125	243	35	=	=	SYM
ap-4125	243	36	0.3	0.3	NUM
ap-4125	243	37	and	and	CCONJ
ap-4125	243	38	a	a	DET
ap-4125	243	39	dashed	dash	VERB
ap-4125	243	40	line	line	NOUN
ap-4125	243	41	at	at	ADP
ap-4125	243	42	f	f	PROPN
ap-4125	243	43	=	=	SYM
ap-4125	243	44	0	0	NUM
ap-4125	243	45	):	):	PUNCT
ap-4125	243	46	a	a	X
ap-4125	243	47	)	)	PUNCT
ap-4125	243	48	a	a	DET
ap-4125	243	49	disk	disk	NOUN
ap-4125	243	50	rotates	rotate	NOUN
ap-4125	243	51	at	at	ADP
ap-4125	243	52	an	an	DET
ap-4125	243	53	angular	angular	ADJ
ap-4125	243	54	velocity	velocity	NOUN
ap-4125	243	55	of	of	ADP
ap-4125	243	56	ω	ω	PROPN
ap-4125	243	57	=	=	NOUN
ap-4125	243	58	9.6	9.6	NUM
ap-4125	243	59	s−1	s−1	PROPN
ap-4125	243	60	;	;	PUNCT
ap-4125	243	61	b	b	X
ap-4125	243	62	)	)	PUNCT
ap-4125	243	63	a	a	DET
ap-4125	243	64	disk	disk	NOUN
ap-4125	243	65	is	be	AUX
ap-4125	243	66	stationary	stationary	ADJ
ap-4125	243	67	(	(	PUNCT
ap-4125	243	68	ω	ω	NOUN
ap-4125	243	69	=	=	NOUN
ap-4125	243	70	0	0	NUM
ap-4125	243	71	)	)	PUNCT
ap-4125	243	72	.	.	PUNCT
ap-4125	244	1	having	having	AUX
ap-4125	244	2	analyzed	analyze	VERB
ap-4125	244	3	regression	regression	NOUN
ap-4125	244	4	equations	equation	NOUN
ap-4125	244	5	(	(	PUNCT
ap-4125	244	6	13	13	NUM
ap-4125	244	7	)	)	PUNCT
ap-4125	244	8	was	be	AUX
ap-4125	244	9	the	the	DET
ap-4125	244	10	constructed	construct	VERB
ap-4125	244	11	response	response	NOUN
ap-4125	244	12	surfaces	surface	NOUN
ap-4125	244	13	and	and	CCONJ
ap-4125	244	14	their	their	PRON
ap-4125	244	15	two	two	NUM
ap-4125	244	16	-	-	PUNCT
ap-4125	244	17	dimensional	dimensional	ADJ
ap-4125	244	18	sections	section	NOUN
ap-4125	244	19	,	,	PUNCT
ap-4125	244	20	which	which	PRON
ap-4125	244	21	are	be	AUX
ap-4125	244	22	illustrated	illustrate	VERB
ap-4125	244	23	in	in	ADP
ap-4125	244	24	fig.6	fig.6	PROPN
ap-4125	244	25	,	,	PUNCT
ap-4125	244	26	7	7	NUM
ap-4125	244	27	and	and	CCONJ
ap-4125	244	28	8	8	NUM
ap-4125	244	29	.	.	PUNCT
ap-4125	245	1	a	a	DET
ap-4125	245	2	b	b	NOUN
ap-4125	245	3	fig	fig	NOUN
ap-4125	245	4	.	.	PUNCT
ap-4125	246	1	6	6	X
ap-4125	246	2	.	.	X
ap-4125	246	3	change	change	NOUN
ap-4125	246	4	dependence	dependence	NOUN
ap-4125	246	5	of	of	ADP
ap-4125	246	6	the	the	DET
ap-4125	246	7	area	area	NOUN
ap-4125	246	8	of	of	ADP
ap-4125	246	9	particle	particle	NOUN
ap-4125	246	10	dispersion	dispersion	NOUN
ap-4125	246	11	s	s	VERB
ap-4125	246	12	on	on	ADP
ap-4125	246	13	an	an	DET
ap-4125	246	14	incidence	incidence	ADJ
ap-4125	246	15	angle	angle	NOUN
ap-4125	246	16	of	of	ADP
ap-4125	246	17	disk	disk	NOUN
ap-4125	246	18	α	α	NOUN
ap-4125	246	19	and	and	CCONJ
ap-4125	247	1	friction	friction	NOUN
ap-4125	247	2	coefficient	coefficient	NOUN
ap-4125	247	3	f	f	PROPN
ap-4125	247	4	as	as	ADP
ap-4125	247	5	functional	functional	ADJ
ap-4125	247	6	(	(	PUNCT
ap-4125	247	7	,	,	PUNCT
ap-4125	247	8	)	)	PUNCT
ap-4125	247	9	s	s	PART
ap-4125	247	10	f	f	NOUN
ap-4125	247	11	f	f	PROPN
ap-4125	247	12	a	a	DET
ap-4125	247	13	b	b	NOUN
ap-4125	247	14	fig	fig	NOUN
ap-4125	247	15	.	.	PUNCT
ap-4125	248	1	7	7	X
ap-4125	248	2	.	.	X
ap-4125	248	3	change	change	NOUN
ap-4125	248	4	dependence	dependence	NOUN
ap-4125	248	5	of	of	ADP
ap-4125	248	6	the	the	DET
ap-4125	248	7	area	area	NOUN
ap-4125	248	8	of	of	ADP
ap-4125	248	9	particle	particle	NOUN
ap-4125	248	10	dispersion	dispersion	NOUN
ap-4125	248	11	s	s	VERB
ap-4125	248	12	on	on	ADP
ap-4125	248	13	an	an	DET
ap-4125	248	14	incidence	incidence	ADJ
ap-4125	248	15	angle	angle	NOUN
ap-4125	248	16	of	of	ADP
ap-4125	248	17	disk	disk	NOUN
ap-4125	248	18	α	α	NOUN
ap-4125	248	19	and	and	CCONJ
ap-4125	248	20	an	an	DET
ap-4125	248	21	angular	angular	ADJ
ap-4125	248	22	velocity	velocity	NOUN
ap-4125	248	23	of	of	ADP
ap-4125	248	24	disk	disk	NOUN
ap-4125	248	25	rotation	rotation	NOUN
ap-4125	248	26	ω	ω	PROPN
ap-4125	248	27	as	as	ADP
ap-4125	248	28	functional	functional	ADJ
ap-4125	248	29	(	(	PUNCT
ap-4125	248	30	,	,	PUNCT
ap-4125	248	31	)	)	PUNCT
ap-4125	248	32	s	s	PART
ap-4125	248	33	f	f	NOUN
ap-4125	248	34			ADJ
ap-4125	248	35			PUNCT
ap-4125	248	36	the	the	DET
ap-4125	248	37	analysis	analysis	NOUN
ap-4125	248	38	of	of	ADP
ap-4125	248	39	the	the	DET
ap-4125	248	40	surfaces	surface	NOUN
ap-4125	248	41	reveals	reveal	VERB
ap-4125	248	42	,	,	PUNCT
ap-4125	248	43	that	that	SCONJ
ap-4125	248	44	the	the	DET
ap-4125	248	45	area	area	NOUN
ap-4125	248	46	of	of	ADP
ap-4125	248	47	particle	particle	NOUN
ap-4125	248	48	dispersion	dispersion	NOUN
ap-4125	248	49	s	s	PART
ap-4125	248	50	changes	change	NOUN
ap-4125	248	51	within	within	ADP
ap-4125	248	52	the	the	DET
ap-4125	248	53	range	range	NOUN
ap-4125	248	54	of	of	ADP
ap-4125	248	55	70·10	70·10	NUM
ap-4125	248	56	-	-	SYM
ap-4125	248	57	4	4	NUM
ap-4125	248	58	…	…	SYM
ap-4125	248	59	130·10	130·10	NUM
ap-4125	248	60	-	-	SYM
ap-4125	248	61	4	4	NUM
ap-4125	248	62	(	(	PUNCT
ap-4125	248	63	m2	m2	PROPN
ap-4125	248	64	)	)	PUNCT
ap-4125	248	65	depending	depend	VERB
ap-4125	248	66	on	on	ADP
ap-4125	248	67	the	the	DET
ap-4125	248	68	change	change	NOUN
ap-4125	248	69	in	in	ADP
ap-4125	248	70	design	design	NOUN
ap-4125	248	71	and	and	CCONJ
ap-4125	248	72	kinematic	kinematic	ADJ
ap-4125	248	73	parameters	parameter	NOUN
ap-4125	248	74	and	and	CCONJ
ap-4125	248	75	process	process	NOUN
ap-4125	248	76	variables	variable	NOUN
ap-4125	248	77	of	of	ADP
ap-4125	248	78	a	a	DET
ap-4125	248	79	screw	screw	NOUN
ap-4125	248	80	and	and	CCONJ
ap-4125	248	81	on	on	ADP
ap-4125	248	82	loose	loose	ADJ
ap-4125	248	83	material	material	NOUN
ap-4125	248	84	characteristics	characteristic	NOUN
ap-4125	248	85	within	within	ADP
ap-4125	248	86	the	the	DET
ap-4125	248	87	following	following	ADJ
ap-4125	248	88	limits	limit	NOUN
ap-4125	248	89	:	:	PUNCT
ap-4125	248	90	on	on	ADP
ap-4125	248	91	an	an	DET
ap-4125	248	92	incidence	incidence	NOUN
ap-4125	248	93	angle	angle	NOUN
ap-4125	248	94	of	of	ADP
ap-4125	248	95	disk	disk	NOUN
ap-4125	248	96	α	α	NOUN
ap-4125	248	97	=	=	SYM
ap-4125	248	98	20º	20º	NOUN
ap-4125	248	99	...	...	PUNCT
ap-4125	248	100	30º	30º	NOUN
ap-4125	248	101	;	;	PUNCT
ap-4125	248	102	an	an	DET
ap-4125	248	103	angular	angular	ADJ
ap-4125	248	104	velocity	velocity	NOUN
ap-4125	248	105	of	of	ADP
ap-4125	248	106	disk	disk	NOUN
ap-4125	248	107	rotation	rotation	NOUN
ap-4125	248	108	ω=0	ω=0	PROPN
ap-4125	248	109	...	...	SYM
ap-4125	248	110	10	10	NUM
ap-4125	248	111	(	(	PUNCT
ap-4125	248	112	s-1	s-1	PROPN
ap-4125	248	113	)	)	PUNCT
ap-4125	248	114	;	;	PUNCT
ap-4125	248	115	friction	friction	NOUN
ap-4125	248	116	coefficient	coefficient	NOUN
ap-4125	249	1	f	f	PROPN
ap-4125	249	2	=	=	NOUN
ap-4125	249	3	0.2	0.2	NUM
ap-4125	249	4	…	…	SYM
ap-4125	249	5	0.4	0.4	NUM
ap-4125	249	6	.	.	PUNCT
ap-4125	250	1	it	it	PRON
ap-4125	250	2	has	have	AUX
ap-4125	250	3	been	be	AUX
ap-4125	250	4	determined	determine	VERB
ap-4125	250	5	,	,	PUNCT
ap-4125	250	6	that	that	SCONJ
ap-4125	250	7	an	an	DET
ap-4125	250	8	incidence	incidence	NOUN
ap-4125	250	9	angle	angle	NOUN
ap-4125	250	10	of	of	ADP
ap-4125	250	11	disk	disk	NOUN
ap-4125	250	12	α	α	NOUN
ap-4125	250	13	increase	increase	NOUN
ap-4125	250	14	,	,	PUNCT
ap-4125	250	15	the	the	DET
ap-4125	250	16	area	area	NOUN
ap-4125	250	17	of	of	ADP
ap-4125	250	18	particle	particle	NOUN
ap-4125	250	19	dispersion	dispersion	NOUN
ap-4125	250	20	s	s	PART
ap-4125	250	21	increases	increase	NOUN
ap-4125	250	22	as	as	ADV
ap-4125	250	23	well	well	ADV
ap-4125	250	24	in	in	ADP
ap-4125	250	25	1.81	1.81	NUM
ap-4125	250	26	times	time	NOUN
ap-4125	250	27	;	;	PUNCT
ap-4125	250	28	an	an	DET
ap-4125	250	29	angular	angular	ADJ
ap-4125	250	30	velocity	velocity	NOUN
ap-4125	250	31	of	of	ADP
ap-4125	250	32	disk	disk	NOUN
ap-4125	250	33	rotation	rotation	NOUN
ap-4125	250	34	ω	ω	PROPN
ap-4125	250	35	s	s	PROPN
ap-4125	250	36	,	,	PUNCT
ap-4125	250	37	10	10	NUM
ap-4125	250	38	-	-	SYM
ap-4125	250	39	4	4	NUM
ap-4125	250	40	m2	m2	PROPN
ap-4125	250	41	f	f	PROPN
ap-4125	250	42	f	f	PROPN
ap-4125	250	43	α	α	PROPN
ap-4125	250	44	,	,	PUNCT
ap-4125	250	45	grad	grad	PROPN
ap-4125	250	46	α	α	PROPN
ap-4125	250	47	,	,	PUNCT
ap-4125	250	48	grad	grad	NOUN
ap-4125	250	49	s	s	PROPN
ap-4125	250	50	,	,	PUNCT
ap-4125	250	51	10	10	NUM
ap-4125	250	52	-	-	SYM
ap-4125	250	53	4	4	NUM
ap-4125	250	54	m2	m2	PROPN
ap-4125	250	55	α	α	PROPN
ap-4125	250	56	,	,	PUNCT
ap-4125	250	57	grad	grad	NOUN
ap-4125	250	58	α	α	PROPN
ap-4125	250	59	,	,	PUNCT
ap-4125	250	60	grad	grad	PROPN
ap-4125	250	61	ω	ω	PROPN
ap-4125	250	62	,	,	PUNCT
ap-4125	250	63	s-1	s-1	PROPN
ap-4125	250	64	ω	ω	PROPN
ap-4125	250	65	,	,	PUNCT
ap-4125	250	66	s-1	s-1	NOUN
ap-4125	250	67	figure	figure	VERB
ap-4125	250	68	6	6	NUM
ap-4125	250	69	.	.	PUNCT
ap-4125	251	1	the	the	DET
ap-4125	251	2	change	change	NOUN
ap-4125	251	3	dependence	dependence	NOUN
ap-4125	251	4	of	of	ADP
ap-4125	251	5	the	the	DET
ap-4125	251	6	area	area	NOUN
ap-4125	251	7	of	of	ADP
ap-4125	251	8	particle	particle	NOUN
ap-4125	251	9	dispersion	dispersion	NOUN
ap-4125	251	10	s	s	VERB
ap-4125	251	11	on	on	ADP
ap-4125	251	12	an	an	DET
ap-4125	251	13	incidence	incidence	NOUN
ap-4125	251	14	angle	angle	NOUN
ap-4125	251	15	of	of	ADP
ap-4125	251	16	a	a	DET
ap-4125	251	17	disk	disk	NOUN
ap-4125	251	18	α	α	NOUN
ap-4125	251	19	and	and	CCONJ
ap-4125	251	20	friction	friction	NOUN
ap-4125	251	21	coefficient	coefficient	NOUN
ap-4125	251	22	f	f	PROPN
ap-4125	251	23	as	as	ADP
ap-4125	251	24	functional	functional	ADJ
ap-4125	251	25	s	s	PART
ap-4125	251	26	=	=	SYM
ap-4125	251	27	f	f	X
ap-4125	251	28	(	(	PUNCT
ap-4125	251	29	α	α	X
ap-4125	251	30	,	,	PUNCT
ap-4125	251	31	f	f	NOUN
ap-4125	251	32	)	)	PUNCT
ap-4125	251	33	.	.	PUNCT
ap-4125	252	1	at	at	ADP
ap-4125	252	2	an	an	DET
ap-4125	252	3	incidence	incidence	ADJ
ap-4125	252	4	angle	angle	NOUN
ap-4125	252	5	of	of	ADP
ap-4125	252	6	α	α	NOUN
ap-4125	252	7	=	=	PUNCT
ap-4125	252	8	300	300	NUM
ap-4125	252	9	°	°	NOUN
ap-4125	252	10	in	in	ADP
ap-4125	252	11	case	case	NOUN
ap-4125	252	12	when	when	SCONJ
ap-4125	252	13	a	a	DET
ap-4125	252	14	disk	disk	NOUN
ap-4125	252	15	is	be	AUX
ap-4125	252	16	jammed	jam	VERB
ap-4125	252	17	within	within	ADP
ap-4125	252	18	the	the	DET
ap-4125	252	19	range	range	NOUN
ap-4125	252	20	of	of	ADP
ap-4125	252	21	12–20	12–20	NUM
ap-4125	252	22	%	%	NOUN
ap-4125	252	23	.	.	PUNCT
ap-4125	253	1	it	it	PRON
ap-4125	253	2	is	be	AUX
ap-4125	253	3	worth	worth	ADJ
ap-4125	253	4	mentioning	mention	VERB
ap-4125	253	5	that	that	SCONJ
ap-4125	253	6	the	the	DET
ap-4125	253	7	trajectories	trajectory	NOUN
ap-4125	253	8	,	,	PUNCT
ap-4125	253	9	which	which	PRON
ap-4125	253	10	are	be	AUX
ap-4125	253	11	plotted	plot	VERB
ap-4125	253	12	using	use	VERB
ap-4125	253	13	dashed	dash	VERB
ap-4125	253	14	lines	line	NOUN
ap-4125	253	15	in	in	ADP
ap-4125	253	16	figure	figure	NOUN
ap-4125	253	17	5ab	5ab	NOUN
ap-4125	253	18	are	be	AUX
ap-4125	253	19	absolutely	absolutely	ADV
ap-4125	253	20	the	the	DET
ap-4125	253	21	same	same	ADJ
ap-4125	253	22	.	.	PUNCT
ap-4125	254	1	it	it	PRON
ap-4125	254	2	means	mean	VERB
ap-4125	254	3	that	that	SCONJ
ap-4125	254	4	when	when	SCONJ
ap-4125	254	5	there	there	PRON
ap-4125	254	6	is	be	VERB
ap-4125	254	7	no	no	DET
ap-4125	254	8	friction	friction	NOUN
ap-4125	254	9	,	,	PUNCT
ap-4125	254	10	that	that	PRON
ap-4125	254	11	is	be	AUX
ap-4125	254	12	to	to	PART
ap-4125	254	13	say	say	VERB
ap-4125	254	14	,	,	PUNCT
ap-4125	254	15	a	a	DET
ap-4125	254	16	surface	surface	NOUN
ap-4125	254	17	is	be	AUX
ap-4125	254	18	perfectly	perfectly	ADV
ap-4125	254	19	smooth	smooth	ADJ
ap-4125	254	20	,	,	PUNCT
ap-4125	254	21	an	an	DET
ap-4125	254	22	absolute	absolute	ADJ
ap-4125	254	23	trajectory	trajectory	NOUN
ap-4125	254	24	does	do	AUX
ap-4125	254	25	not	not	PART
ap-4125	254	26	depend	depend	VERB
ap-4125	254	27	on	on	ADP
ap-4125	254	28	the	the	DET
ap-4125	254	29	value	value	NOUN
ap-4125	254	30	of	of	ADP
ap-4125	254	31	an	an	DET
ap-4125	254	32	angular	angular	ADJ
ap-4125	254	33	velocity	velocity	NOUN
ap-4125	254	34	of	of	ADP
ap-4125	254	35	its	its	PRON
ap-4125	254	36	rotation	rotation	NOUN
ap-4125	254	37	.	.	PUNCT
ap-4125	255	1	friction	friction	NOUN
ap-4125	255	2	forces	force	NOUN
ap-4125	255	3	influence	influence	VERB
ap-4125	255	4	the	the	DET
ap-4125	255	5	trajectories	trajectory	NOUN
ap-4125	255	6	of	of	ADP
ap-4125	255	7	particle	particle	NOUN
ap-4125	255	8	motion	motion	NOUN
ap-4125	255	9	on	on	ADP
ap-4125	255	10	a	a	DET
ap-4125	255	11	stationary	stationary	ADJ
ap-4125	255	12	disk	disk	NOUN
ap-4125	255	13	and	and	CCONJ
ap-4125	255	14	a	a	DET
ap-4125	255	15	moving	move	VERB
ap-4125	255	16	one	one	NUM
ap-4125	255	17	.	.	PUNCT
ap-4125	256	1	in	in	ADP
ap-4125	256	2	both	both	DET
ap-4125	256	3	cases	case	NOUN
ap-4125	256	4	,	,	PUNCT
ap-4125	256	5	the	the	DET
ap-4125	256	6	trajectories	trajectory	NOUN
ap-4125	256	7	differ	differ	VERB
ap-4125	256	8	within	within	ADP
ap-4125	256	9	the	the	DET
ap-4125	256	10	range	range	NOUN
ap-4125	256	11	of	of	ADP
ap-4125	256	12	4–7	4–7	NOUN
ap-4125	256	13	%	%	NOUN
ap-4125	256	14	.	.	PUNCT
ap-4125	257	1	at	at	ADP
ap-4125	257	2	the	the	DET
ap-4125	257	3	stage	stage	NOUN
ap-4125	257	4	of	of	ADP
ap-4125	257	5	a	a	DET
ap-4125	257	6	particle	particle	NOUN
ap-4125	257	7	rise	rise	NOUN
ap-4125	257	8	and	and	CCONJ
ap-4125	257	9	they	they	PRON
ap-4125	257	10	differ	differ	VERB
ap-4125	257	11	within	within	ADP
ap-4125	257	12	the	the	DET
ap-4125	257	13	range	range	NOUN
ap-4125	257	14	of	of	ADP
ap-4125	257	15	12–18	12–18	NUM
ap-4125	257	16	%	%	NOUN
ap-4125	257	17	.	.	PUNCT
ap-4125	258	1	at	at	ADP
ap-4125	258	2	the	the	DET
ap-4125	258	3	stage	stage	NOUN
ap-4125	258	4	of	of	ADP
ap-4125	258	5	a	a	DET
ap-4125	258	6	particle	particle	NOUN
ap-4125	258	7	downward	downward	ADJ
ap-4125	258	8	movement	movement	NOUN
ap-4125	258	9	.	.	PUNCT
ap-4125	259	1	this	this	PRON
ap-4125	259	2	can	can	AUX
ap-4125	259	3	be	be	AUX
ap-4125	259	4	explained	explain	VERB
ap-4125	259	5	by	by	ADP
ap-4125	259	6	the	the	DET
ap-4125	259	7	fact	fact	NOUN
ap-4125	259	8	that	that	SCONJ
ap-4125	259	9	friction	friction	NOUN
ap-4125	259	10	forces	force	NOUN
ap-4125	259	11	on	on	ADP
ap-4125	259	12	a	a	DET
ap-4125	259	13	moving	move	VERB
ap-4125	259	14	disk	disk	NOUN
ap-4125	259	15	draw	draw	VERB
ap-4125	259	16	a	a	DET
ap-4125	259	17	particle	particle	NOUN
ap-4125	259	18	in	in	ADP
ap-4125	259	19	the	the	DET
ap-4125	259	20	direction	direction	NOUN
ap-4125	259	21	of	of	ADP
ap-4125	259	22	its	its	PRON
ap-4125	259	23	rotation	rotation	NOUN
ap-4125	259	24	.	.	PUNCT
ap-4125	260	1	the	the	DET
ap-4125	260	2	investigation	investigation	NOUN
ap-4125	260	3	of	of	ADP
ap-4125	260	4	the	the	DET
ap-4125	260	5	kinematic	kinematic	ADJ
ap-4125	260	6	parameters	parameter	NOUN
ap-4125	260	7	of	of	ADP
ap-4125	260	8	the	the	DET
ap-4125	260	9	movement	movement	NOUN
ap-4125	260	10	of	of	ADP
ap-4125	260	11	soil	soil	NOUN
ap-4125	260	12	particles	particle	NOUN
ap-4125	260	13	on	on	ADP
ap-4125	260	14	the	the	DET
ap-4125	260	15	inner	inner	ADJ
ap-4125	260	16	surface	surface	NOUN
ap-4125	260	17	of	of	ADP
ap-4125	260	18	a	a	DET
ap-4125	260	19	disk	disk	NOUN
ap-4125	260	20	working	work	VERB
ap-4125	260	21	body	body	NOUN
ap-4125	260	22	that	that	PRON
ap-4125	260	23	rotates	rotate	VERB
ap-4125	260	24	around	around	ADP
ap-4125	260	25	a	a	DET
ap-4125	260	26	horizontal	horizontal	ADJ
ap-4125	260	27	axis	axis	NOUN
ap-4125	260	28	and	and	CCONJ
ap-4125	260	29	moves	move	NOUN
ap-4125	260	30	at	at	ADP
ap-4125	260	31	an	an	DET
ap-4125	260	32	angle	angle	NOUN
ap-4125	260	33	of	of	ADP
ap-4125	260	34	attack	attack	NOUN
ap-4125	260	35	in	in	ADP
ap-4125	260	36	relation	relation	NOUN
ap-4125	260	37	to	to	ADP
ap-4125	260	38	the	the	DET
ap-4125	260	39	movement	movement	NOUN
ap-4125	260	40	of	of	ADP
ap-4125	260	41	the	the	DET
ap-4125	260	42	unit	unit	NOUN
ap-4125	260	43	,	,	PUNCT
ap-4125	260	44	facilitates	facilitate	VERB
ap-4125	260	45	the	the	DET
ap-4125	260	46	design	design	NOUN
ap-4125	260	47	of	of	ADP
ap-4125	260	48	the	the	DET
ap-4125	260	49	disk	disk	NOUN
ap-4125	260	50	tillage	tillage	NOUN
ap-4125	260	51	tools	tool	NOUN
ap-4125	260	52	working	work	VERB
ap-4125	260	53	bodies	body	NOUN
ap-4125	260	54	.	.	PUNCT
ap-4125	261	1	also	also	ADV
ap-4125	261	2	investigation	investigation	NOUN
ap-4125	261	3	of	of	ADP
ap-4125	261	4	such	such	ADJ
ap-4125	261	5	motion	motion	NOUN
ap-4125	261	6	by	by	ADP
ap-4125	261	7	the	the	DET
ap-4125	261	8	example	example	NOUN
ap-4125	261	9	of	of	ADP
ap-4125	261	10	a	a	DET
ap-4125	261	11	separate	separate	ADJ
ap-4125	261	12	particle	particle	NOUN
ap-4125	261	13	allows	allow	VERB
ap-4125	261	14	understanding	understand	VERB
ap-4125	261	15	the	the	DET
ap-4125	261	16	nature	nature	NOUN
ap-4125	261	17	of	of	ADP
ap-4125	261	18	particle	particle	NOUN
ap-4125	261	19	movement	movement	NOUN
ap-4125	261	20	and	and	CCONJ
ap-4125	261	21	determining	determine	VERB
ap-4125	261	22	the	the	DET
ap-4125	261	23	influence	influence	NOUN
ap-4125	261	24	of	of	ADP
ap-4125	261	25	the	the	DET
ap-4125	261	26	parameters	parameter	NOUN
ap-4125	261	27	of	of	ADP
ap-4125	261	28	disk	disk	NOUN
ap-4125	261	29	mounting	mount	VERB
ap-4125	261	30	on	on	ADP
ap-4125	261	31	their	their	PRON
ap-4125	261	32	behaviour	behaviour	NOUN
ap-4125	261	33	.	.	PUNCT
ap-4125	262	1	on	on	ADP
ap-4125	262	2	the	the	DET
ap-4125	262	3	basis	basis	NOUN
ap-4125	262	4	of	of	ADP
ap-4125	262	5	field	field	NOUN
ap-4125	262	6	experiments	experiment	NOUN
ap-4125	262	7	,	,	PUNCT
ap-4125	262	8	it	it	PRON
ap-4125	262	9	has	have	AUX
ap-4125	262	10	been	be	AUX
ap-4125	262	11	determined	determine	VERB
ap-4125	262	12	that	that	SCONJ
ap-4125	262	13	the	the	DET
ap-4125	262	14	production	production	NOUN
ap-4125	262	15	process	process	NOUN
ap-4125	262	16	quality	quality	NOUN
ap-4125	262	17	of	of	ADP
ap-4125	262	18	a	a	DET
ap-4125	262	19	tillage	tillage	NOUN
ap-4125	262	20	machine	machine	NOUN
ap-4125	262	21	meets	meet	VERB
ap-4125	262	22	the	the	DET
ap-4125	262	23	agrotechnical	agrotechnical	ADJ
ap-4125	262	24	requirements	requirement	NOUN
ap-4125	262	25	.	.	PUNCT
ap-4125	263	1	in	in	ADP
ap-4125	263	2	the	the	DET
ap-4125	263	3	process	process	NOUN
ap-4125	263	4	of	of	ADP
ap-4125	263	5	the	the	DET
ap-4125	263	6	experimental	experimental	ADJ
ap-4125	263	7	studies	study	NOUN
ap-4125	263	8	of	of	ADP
ap-4125	263	9	a	a	DET
ap-4125	263	10	spherical	spherical	ADJ
ap-4125	263	11	cultivating	cultivating	NOUN
ap-4125	263	12	disk	disk	NOUN
ap-4125	263	13	,	,	PUNCT
ap-4125	263	14	the	the	DET
ap-4125	263	15	following	follow	VERB
ap-4125	263	16	parameters	parameter	NOUN
ap-4125	263	17	were	be	AUX
ap-4125	263	18	variable	variable	ADJ
ap-4125	263	19	:	:	PUNCT
ap-4125	263	20	the	the	DET
ap-4125	263	21	angular	angular	ADJ
ap-4125	263	22	velocity	velocity	NOUN
ap-4125	263	23	of	of	ADP
ap-4125	263	24	disk	disk	NOUN
ap-4125	263	25	rotation	rotation	NOUN
ap-4125	263	26	ω	ω	NOUN
ap-4125	263	27	=	=	SYM
ap-4125	263	28	0	0	NUM
ap-4125	263	29	−	−	NOUN
ap-4125	263	30	−10	−10	X
ap-4125	264	1	s−1	s−1	NOUN
ap-4125	264	2	;	;	PUNCT
ap-4125	264	3	the	the	DET
ap-4125	264	4	incidence	incidence	NOUN
ap-4125	264	5	angle	angle	NOUN
ap-4125	264	6	of	of	ADP
ap-4125	264	7	the	the	DET
ap-4125	264	8	disk	disk	NOUN
ap-4125	264	9	α	α	NOUN
ap-4125	264	10	=	=	SYM
ap-4125	264	11	20	20	NUM
ap-4125	264	12	°	°	NUM
ap-4125	264	13	–30	–30	VERB
ap-4125	264	14	°	°	NOUN
ap-4125	264	15	and	and	CCONJ
ap-4125	264	16	the	the	DET
ap-4125	264	17	friction	friction	NOUN
ap-4125	264	18	coefficient	coefficient	NOUN
ap-4125	264	19	f	f	X
ap-4125	264	20	=	=	NOUN
ap-4125	264	21	0.2–0.4	0.2–0.4	PROPN
ap-4125	264	22	.	.	PUNCT
ap-4125	265	1	after	after	ADP
ap-4125	265	2	processing	process	VERB
ap-4125	265	3	numerical	numerical	ADJ
ap-4125	265	4	values	value	NOUN
ap-4125	265	5	,	,	PUNCT
ap-4125	265	6	regression	regression	NOUN
ap-4125	265	7	equations	equation	NOUN
ap-4125	265	8	,	,	PUNCT
ap-4125	265	9	which	which	PRON
ap-4125	265	10	define	define	VERB
ap-4125	265	11	the	the	DET
ap-4125	265	12	area	area	NOUN
ap-4125	265	13	of	of	ADP
ap-4125	265	14	particle	particle	NOUN
ap-4125	265	15	dispersion	dispersion	NOUN
ap-4125	265	16	s	s	VERB
ap-4125	265	17	according	accord	VERB
ap-4125	265	18	to	to	ADP
ap-4125	265	19	the	the	DET
ap-4125	265	20	change	change	NOUN
ap-4125	265	21	of	of	ADP
ap-4125	265	22	the	the	DET
ap-4125	265	23	above	above	ADJ
ap-4125	265	24	mentioned	mention	VERB
ap-4125	265	25	parameters	parameter	NOUN
ap-4125	265	26	,	,	PUNCT
ap-4125	265	27	have	have	AUX
ap-4125	265	28	been	be	AUX
ap-4125	265	29	obtained	obtain	VERB
ap-4125	265	30	:	:	PUNCT
ap-4125	265	31	s	s	PART
ap-4125	265	32	=	=	SYM
ap-4125	265	33	9.97	9.97	NUM
ap-4125	265	34	+	+	NUM
ap-4125	265	35	3.46α+	3.46α+	NUM
ap-4125	265	36	1.76ω	1.76ω	NUM
ap-4125	265	37	−	−	NOUN
ap-4125	265	38	4.64αω	4.64αω	NOUN
ap-4125	265	39	.	.	PUNCT
ap-4125	266	1	(	(	PUNCT
ap-4125	266	2	13	13	NUM
ap-4125	266	3	)	)	PUNCT
ap-4125	266	4	having	having	AUX
ap-4125	266	5	analysed	analyse	VERB
ap-4125	266	6	the	the	DET
ap-4125	266	7	regression	regression	NOUN
ap-4125	266	8	equations	equation	NOUN
ap-4125	266	9	(	(	PUNCT
ap-4125	266	10	13	13	NUM
ap-4125	266	11	)	)	PUNCT
ap-4125	266	12	response	response	NOUN
ap-4125	266	13	surfaces	surface	NOUN
ap-4125	266	14	and	and	CCONJ
ap-4125	266	15	their	their	PRON
ap-4125	266	16	two	two	NUM
ap-4125	266	17	-	-	PUNCT
ap-4125	266	18	dimensional	dimensional	ADJ
ap-4125	266	19	sections	section	NOUN
ap-4125	266	20	,	,	PUNCT
ap-4125	266	21	which	which	PRON
ap-4125	266	22	are	be	AUX
ap-4125	266	23	illustrated	illustrate	VERB
ap-4125	266	24	in	in	ADP
ap-4125	266	25	figures	figure	NOUN
ap-4125	266	26	6	6	NUM
ap-4125	266	27	,	,	PUNCT
ap-4125	266	28	7	7	NUM
ap-4125	266	29	and	and	CCONJ
ap-4125	266	30	8	8	NUM
ap-4125	266	31	,	,	PUNCT
ap-4125	266	32	were	be	AUX
ap-4125	266	33	constructed	construct	VERB
ap-4125	266	34	.	.	PUNCT
ap-4125	267	1	the	the	DET
ap-4125	267	2	analysis	analysis	NOUN
ap-4125	267	3	of	of	ADP
ap-4125	267	4	the	the	DET
ap-4125	267	5	surfaces	surface	NOUN
ap-4125	267	6	reveals	reveal	VERB
ap-4125	267	7	,	,	PUNCT
ap-4125	267	8	that	that	SCONJ
ap-4125	267	9	the	the	DET
ap-4125	267	10	area	area	NOUN
ap-4125	267	11	of	of	ADP
ap-4125	267	12	particle	particle	NOUN
ap-4125	267	13	dispersion	dispersion	NOUN
ap-4125	267	14	s	s	PART
ap-4125	267	15	changes	change	NOUN
ap-4125	267	16	within	within	ADP
ap-4125	267	17	the	the	DET
ap-4125	267	18	range	range	NOUN
ap-4125	267	19	of	of	ADP
ap-4125	267	20	206	206	NUM
ap-4125	267	21	vol	vol	NOUN
ap-4125	267	22	.	.	PUNCT
ap-4125	268	1	58	58	NUM
ap-4125	268	2	no	no	NOUN
ap-4125	268	3	.	.	PUNCT
ap-4125	269	1	3/2018	3/2018	NUM
ap-4125	269	2	particle	particle	NOUN
ap-4125	269	3	motion	motion	NOUN
ap-4125	269	4	on	on	ADP
ap-4125	269	5	the	the	DET
ap-4125	269	6	surface	surface	NOUN
ap-4125	269	7	of	of	ADP
ap-4125	269	8	a	a	DET
ap-4125	269	9	concave	concave	ADJ
ap-4125	269	10	soil	soil	NOUN
ap-4125	269	11	-	-	PUNCT
ap-4125	269	12	tilling	till	VERB
ap-4125	269	13	disk	disk	NOUN
ap-4125	269	14	having	having	AUX
ap-4125	269	15	analyzed	analyze	VERB
ap-4125	269	16	regression	regression	NOUN
ap-4125	269	17	equations	equation	NOUN
ap-4125	269	18	(	(	PUNCT
ap-4125	269	19	13	13	NUM
ap-4125	269	20	)	)	PUNCT
ap-4125	269	21	was	be	AUX
ap-4125	269	22	the	the	DET
ap-4125	269	23	constructed	construct	VERB
ap-4125	269	24	response	response	NOUN
ap-4125	269	25	surfaces	surface	NOUN
ap-4125	269	26	and	and	CCONJ
ap-4125	269	27	their	their	PRON
ap-4125	269	28	two	two	NUM
ap-4125	269	29	-	-	PUNCT
ap-4125	269	30	dimensional	dimensional	ADJ
ap-4125	269	31	sections	section	NOUN
ap-4125	269	32	,	,	PUNCT
ap-4125	269	33	which	which	PRON
ap-4125	269	34	are	be	AUX
ap-4125	269	35	illustrated	illustrate	VERB
ap-4125	269	36	in	in	ADP
ap-4125	269	37	fig.6	fig.6	PROPN
ap-4125	269	38	,	,	PUNCT
ap-4125	269	39	7	7	NUM
ap-4125	269	40	and	and	CCONJ
ap-4125	269	41	8	8	NUM
ap-4125	269	42	.	.	PUNCT
ap-4125	270	1	a	a	DET
ap-4125	270	2	b	b	NOUN
ap-4125	270	3	fig	fig	NOUN
ap-4125	270	4	.	.	PUNCT
ap-4125	271	1	6	6	X
ap-4125	271	2	.	.	X
ap-4125	271	3	change	change	NOUN
ap-4125	271	4	dependence	dependence	NOUN
ap-4125	271	5	of	of	ADP
ap-4125	271	6	the	the	DET
ap-4125	271	7	area	area	NOUN
ap-4125	271	8	of	of	ADP
ap-4125	271	9	particle	particle	NOUN
ap-4125	271	10	dispersion	dispersion	NOUN
ap-4125	271	11	s	s	VERB
ap-4125	271	12	on	on	ADP
ap-4125	271	13	an	an	DET
ap-4125	271	14	incidence	incidence	ADJ
ap-4125	271	15	angle	angle	NOUN
ap-4125	271	16	of	of	ADP
ap-4125	271	17	disk	disk	NOUN
ap-4125	271	18	α	α	NOUN
ap-4125	271	19	and	and	CCONJ
ap-4125	272	1	friction	friction	NOUN
ap-4125	272	2	coefficient	coefficient	NOUN
ap-4125	272	3	f	f	PROPN
ap-4125	272	4	as	as	ADP
ap-4125	272	5	functional	functional	ADJ
ap-4125	272	6	(	(	PUNCT
ap-4125	272	7	,	,	PUNCT
ap-4125	272	8	)	)	PUNCT
ap-4125	272	9	s	s	PART
ap-4125	272	10	f	f	NOUN
ap-4125	272	11	f	f	PROPN
ap-4125	272	12	a	a	DET
ap-4125	272	13	b	b	NOUN
ap-4125	272	14	fig	fig	NOUN
ap-4125	272	15	.	.	PUNCT
ap-4125	273	1	7	7	X
ap-4125	273	2	.	.	X
ap-4125	273	3	change	change	NOUN
ap-4125	273	4	dependence	dependence	NOUN
ap-4125	273	5	of	of	ADP
ap-4125	273	6	the	the	DET
ap-4125	273	7	area	area	NOUN
ap-4125	273	8	of	of	ADP
ap-4125	273	9	particle	particle	NOUN
ap-4125	273	10	dispersion	dispersion	NOUN
ap-4125	273	11	s	s	VERB
ap-4125	273	12	on	on	ADP
ap-4125	273	13	an	an	DET
ap-4125	273	14	incidence	incidence	ADJ
ap-4125	273	15	angle	angle	NOUN
ap-4125	273	16	of	of	ADP
ap-4125	273	17	disk	disk	NOUN
ap-4125	273	18	α	α	NOUN
ap-4125	273	19	and	and	CCONJ
ap-4125	273	20	an	an	DET
ap-4125	273	21	angular	angular	ADJ
ap-4125	273	22	velocity	velocity	NOUN
ap-4125	273	23	of	of	ADP
ap-4125	273	24	disk	disk	NOUN
ap-4125	273	25	rotation	rotation	NOUN
ap-4125	273	26	ω	ω	PROPN
ap-4125	273	27	as	as	ADP
ap-4125	273	28	functional	functional	ADJ
ap-4125	273	29	(	(	PUNCT
ap-4125	273	30	,	,	PUNCT
ap-4125	273	31	)	)	PUNCT
ap-4125	273	32	s	s	PART
ap-4125	273	33	f	f	NOUN
ap-4125	273	34			ADJ
ap-4125	273	35			PUNCT
ap-4125	273	36	the	the	DET
ap-4125	273	37	analysis	analysis	NOUN
ap-4125	273	38	of	of	ADP
ap-4125	273	39	the	the	DET
ap-4125	273	40	surfaces	surface	NOUN
ap-4125	273	41	reveals	reveal	VERB
ap-4125	273	42	,	,	PUNCT
ap-4125	273	43	that	that	SCONJ
ap-4125	273	44	the	the	DET
ap-4125	273	45	area	area	NOUN
ap-4125	273	46	of	of	ADP
ap-4125	273	47	particle	particle	NOUN
ap-4125	273	48	dispersion	dispersion	NOUN
ap-4125	273	49	s	s	PART
ap-4125	273	50	changes	change	NOUN
ap-4125	273	51	within	within	ADP
ap-4125	273	52	the	the	DET
ap-4125	273	53	range	range	NOUN
ap-4125	273	54	of	of	ADP
ap-4125	273	55	70·10	70·10	NUM
ap-4125	273	56	-	-	SYM
ap-4125	273	57	4	4	NUM
ap-4125	273	58	…	…	SYM
ap-4125	273	59	130·10	130·10	NUM
ap-4125	273	60	-	-	SYM
ap-4125	273	61	4	4	NUM
ap-4125	273	62	(	(	PUNCT
ap-4125	273	63	m2	m2	PROPN
ap-4125	273	64	)	)	PUNCT
ap-4125	273	65	depending	depend	VERB
ap-4125	273	66	on	on	ADP
ap-4125	273	67	the	the	DET
ap-4125	273	68	change	change	NOUN
ap-4125	273	69	in	in	ADP
ap-4125	273	70	design	design	NOUN
ap-4125	273	71	and	and	CCONJ
ap-4125	273	72	kinematic	kinematic	ADJ
ap-4125	273	73	parameters	parameter	NOUN
ap-4125	273	74	and	and	CCONJ
ap-4125	273	75	process	process	NOUN
ap-4125	273	76	variables	variable	NOUN
ap-4125	273	77	of	of	ADP
ap-4125	273	78	a	a	DET
ap-4125	273	79	screw	screw	NOUN
ap-4125	273	80	and	and	CCONJ
ap-4125	273	81	on	on	ADP
ap-4125	273	82	loose	loose	ADJ
ap-4125	273	83	material	material	NOUN
ap-4125	273	84	characteristics	characteristic	NOUN
ap-4125	273	85	within	within	ADP
ap-4125	273	86	the	the	DET
ap-4125	273	87	following	following	ADJ
ap-4125	273	88	limits	limit	NOUN
ap-4125	273	89	:	:	PUNCT
ap-4125	273	90	on	on	ADP
ap-4125	273	91	an	an	DET
ap-4125	273	92	incidence	incidence	NOUN
ap-4125	273	93	angle	angle	NOUN
ap-4125	273	94	of	of	ADP
ap-4125	273	95	disk	disk	NOUN
ap-4125	273	96	α	α	NOUN
ap-4125	273	97	=	=	SYM
ap-4125	273	98	20º	20º	NOUN
ap-4125	273	99	...	...	PUNCT
ap-4125	273	100	30º	30º	NOUN
ap-4125	273	101	;	;	PUNCT
ap-4125	273	102	an	an	DET
ap-4125	273	103	angular	angular	ADJ
ap-4125	273	104	velocity	velocity	NOUN
ap-4125	273	105	of	of	ADP
ap-4125	273	106	disk	disk	NOUN
ap-4125	273	107	rotation	rotation	NOUN
ap-4125	273	108	ω=0	ω=0	PROPN
ap-4125	273	109	...	...	SYM
ap-4125	273	110	10	10	NUM
ap-4125	273	111	(	(	PUNCT
ap-4125	273	112	s-1	s-1	PROPN
ap-4125	273	113	)	)	PUNCT
ap-4125	273	114	;	;	PUNCT
ap-4125	273	115	friction	friction	NOUN
ap-4125	273	116	coefficient	coefficient	NOUN
ap-4125	274	1	f	f	PROPN
ap-4125	274	2	=	=	NOUN
ap-4125	274	3	0.2	0.2	NUM
ap-4125	274	4	…	…	SYM
ap-4125	274	5	0.4	0.4	NUM
ap-4125	274	6	.	.	PUNCT
ap-4125	275	1	it	it	PRON
ap-4125	275	2	has	have	AUX
ap-4125	275	3	been	be	AUX
ap-4125	275	4	determined	determine	VERB
ap-4125	275	5	,	,	PUNCT
ap-4125	275	6	that	that	SCONJ
ap-4125	275	7	an	an	DET
ap-4125	275	8	incidence	incidence	NOUN
ap-4125	275	9	angle	angle	NOUN
ap-4125	275	10	of	of	ADP
ap-4125	275	11	disk	disk	NOUN
ap-4125	275	12	α	α	NOUN
ap-4125	275	13	increase	increase	NOUN
ap-4125	275	14	,	,	PUNCT
ap-4125	275	15	the	the	DET
ap-4125	275	16	area	area	NOUN
ap-4125	275	17	of	of	ADP
ap-4125	275	18	particle	particle	NOUN
ap-4125	275	19	dispersion	dispersion	NOUN
ap-4125	275	20	s	s	PART
ap-4125	275	21	increases	increase	NOUN
ap-4125	275	22	as	as	ADV
ap-4125	275	23	well	well	ADV
ap-4125	275	24	in	in	ADP
ap-4125	275	25	1.81	1.81	NUM
ap-4125	275	26	times	time	NOUN
ap-4125	275	27	;	;	PUNCT
ap-4125	275	28	an	an	DET
ap-4125	275	29	angular	angular	ADJ
ap-4125	275	30	velocity	velocity	NOUN
ap-4125	275	31	of	of	ADP
ap-4125	275	32	disk	disk	NOUN
ap-4125	275	33	rotation	rotation	NOUN
ap-4125	275	34	ω	ω	PROPN
ap-4125	275	35	s	s	PROPN
ap-4125	275	36	,	,	PUNCT
ap-4125	275	37	10	10	NUM
ap-4125	275	38	-	-	SYM
ap-4125	275	39	4	4	NUM
ap-4125	275	40	m2	m2	PROPN
ap-4125	275	41	f	f	PROPN
ap-4125	275	42	f	f	PROPN
ap-4125	275	43	α	α	PROPN
ap-4125	275	44	,	,	PUNCT
ap-4125	275	45	grad	grad	PROPN
ap-4125	275	46	α	α	PROPN
ap-4125	275	47	,	,	PUNCT
ap-4125	275	48	grad	grad	NOUN
ap-4125	275	49	s	s	PROPN
ap-4125	275	50	,	,	PUNCT
ap-4125	275	51	10	10	NUM
ap-4125	275	52	-	-	SYM
ap-4125	275	53	4	4	NUM
ap-4125	275	54	m2	m2	PROPN
ap-4125	275	55	α	α	PROPN
ap-4125	275	56	,	,	PUNCT
ap-4125	275	57	grad	grad	NOUN
ap-4125	275	58	α	α	PROPN
ap-4125	275	59	,	,	PUNCT
ap-4125	275	60	grad	grad	PROPN
ap-4125	275	61	ω	ω	PROPN
ap-4125	275	62	,	,	PUNCT
ap-4125	275	63	s-1	s-1	PROPN
ap-4125	275	64	ω	ω	PROPN
ap-4125	275	65	,	,	PUNCT
ap-4125	275	66	s-1	s-1	NOUN
ap-4125	275	67	figure	figure	VERB
ap-4125	275	68	7	7	NUM
ap-4125	275	69	.	.	PUNCT
ap-4125	276	1	the	the	DET
ap-4125	276	2	change	change	NOUN
ap-4125	276	3	dependence	dependence	NOUN
ap-4125	276	4	of	of	ADP
ap-4125	276	5	the	the	DET
ap-4125	276	6	area	area	NOUN
ap-4125	276	7	of	of	ADP
ap-4125	276	8	particle	particle	NOUN
ap-4125	276	9	dispersion	dispersion	NOUN
ap-4125	276	10	s	s	VERB
ap-4125	276	11	on	on	ADP
ap-4125	276	12	an	an	DET
ap-4125	276	13	incidence	incidence	NOUN
ap-4125	276	14	angle	angle	NOUN
ap-4125	276	15	of	of	ADP
ap-4125	276	16	a	a	DET
ap-4125	276	17	disk	disk	NOUN
ap-4125	276	18	α	α	NOUN
ap-4125	276	19	and	and	CCONJ
ap-4125	276	20	an	an	DET
ap-4125	276	21	angular	angular	ADJ
ap-4125	276	22	velocity	velocity	NOUN
ap-4125	276	23	of	of	ADP
ap-4125	276	24	the	the	DET
ap-4125	276	25	disk	disk	NOUN
ap-4125	276	26	rotation	rotation	NOUN
ap-4125	276	27	ω	ω	PROPN
ap-4125	276	28	as	as	ADP
ap-4125	276	29	functional	functional	ADJ
ap-4125	276	30	s	s	X
ap-4125	276	31	=	=	SYM
ap-4125	276	32	f	f	X
ap-4125	276	33	(	(	PUNCT
ap-4125	276	34	α	α	PROPN
ap-4125	276	35	,	,	PUNCT
ap-4125	276	36	ω	ω	NOUN
ap-4125	276	37	)	)	PUNCT
ap-4125	276	38	.	.	PUNCT
ap-4125	277	1	increase	increase	NOUN
ap-4125	277	2	,	,	PUNCT
ap-4125	277	3	s	s	VERB
ap-4125	277	4	decreases	decrease	NOUN
ap-4125	277	5	in	in	ADP
ap-4125	277	6	1.36	1.36	NUM
ap-4125	277	7	times	time	NOUN
ap-4125	277	8	;	;	PUNCT
ap-4125	277	9	within	within	ADP
ap-4125	277	10	the	the	DET
ap-4125	277	11	range	range	NOUN
ap-4125	277	12	of	of	ADP
ap-4125	277	13	change	change	NOUN
ap-4125	277	14	in	in	ADP
ap-4125	277	15	friction	friction	NOUN
ap-4125	277	16	coefficient	coefficient	NOUN
ap-4125	277	17	f	f	X
ap-4125	277	18	,	,	PUNCT
ap-4125	277	19	the	the	DET
ap-4125	277	20	change	change	NOUN
ap-4125	277	21	in	in	ADP
ap-4125	277	22	s	s	PROPN
ap-4125	277	23	is	be	AUX
ap-4125	277	24	insignificant	insignificant	ADJ
ap-4125	277	25	.	.	PUNCT
ap-4125	278	1	a	a	DET
ap-4125	278	2	b	b	NOUN
ap-4125	278	3	fig	fig	NOUN
ap-4125	278	4	.	.	PUNCT
ap-4125	279	1	8	8	X
ap-4125	279	2	.	.	X
ap-4125	280	1	change	change	NOUN
ap-4125	280	2	dependence	dependence	NOUN
ap-4125	280	3	of	of	ADP
ap-4125	280	4	the	the	DET
ap-4125	280	5	area	area	NOUN
ap-4125	280	6	of	of	ADP
ap-4125	280	7	particle	particle	NOUN
ap-4125	280	8	dispersion	dispersion	NOUN
ap-4125	280	9	n	n	PROPN
ap-4125	280	10	s	s	VERB
ap-4125	280	11	on	on	ADP
ap-4125	280	12	an	an	DET
ap-4125	280	13	angular	angular	ADJ
ap-4125	280	14	velocity	velocity	NOUN
ap-4125	280	15	of	of	ADP
ap-4125	280	16	disk	disk	NOUN
ap-4125	280	17	rotation	rotation	NOUN
ap-4125	280	18	ω	ω	PROPN
ap-4125	280	19	and	and	CCONJ
ap-4125	281	1	friction	friction	NOUN
ap-4125	281	2	coefficient	coefficient	NOUN
ap-4125	281	3	f	f	PROPN
ap-4125	281	4	as	as	ADP
ap-4125	281	5	functional	functional	ADJ
ap-4125	281	6	(	(	PUNCT
ap-4125	281	7	,	,	PUNCT
ap-4125	281	8	)	)	PUNCT
ap-4125	281	9	s	s	PART
ap-4125	281	10	f	f	PROPN
ap-4125	281	11	f	f	PROPN
ap-4125	281	12	conclusions	conclusion	NOUN
ap-4125	281	13	.	.	PUNCT
ap-4125	282	1	a	a	DET
ap-4125	282	2	mathematical	mathematical	ADJ
ap-4125	282	3	model	model	NOUN
ap-4125	282	4	of	of	ADP
ap-4125	282	5	soil	soil	NOUN
ap-4125	282	6	particle	particle	NOUN
ap-4125	282	7	motion	motion	NOUN
ap-4125	282	8	on	on	ADP
ap-4125	282	9	a	a	DET
ap-4125	282	10	disk	disk	NOUN
ap-4125	282	11	operating	operating	NOUN
ap-4125	282	12	element	element	NOUN
ap-4125	282	13	,	,	PUNCT
ap-4125	282	14	which	which	PRON
ap-4125	282	15	rotates	rotate	VERB
ap-4125	282	16	about	about	ADP
ap-4125	282	17	a	a	DET
ap-4125	282	18	fixed	fix	VERB
ap-4125	282	19	horizontal	horizontal	ADJ
ap-4125	282	20	axis	axis	NOUN
ap-4125	282	21	,	,	PUNCT
ap-4125	282	22	has	have	AUX
ap-4125	282	23	been	be	AUX
ap-4125	282	24	developed	develop	VERB
ap-4125	282	25	.	.	PUNCT
ap-4125	283	1	the	the	DET
ap-4125	283	2	results	result	NOUN
ap-4125	283	3	of	of	ADP
ap-4125	283	4	numerical	numerical	ADJ
ap-4125	283	5	solution	solution	NOUN
ap-4125	283	6	of	of	ADP
ap-4125	283	7	the	the	DET
ap-4125	283	8	equations	equation	NOUN
ap-4125	283	9	have	have	AUX
ap-4125	283	10	shown	show	VERB
ap-4125	283	11	that	that	SCONJ
ap-4125	283	12	when	when	SCONJ
ap-4125	283	13	an	an	DET
ap-4125	283	14	incidence	incidence	NOUN
ap-4125	283	15	angle	angle	NOUN
ap-4125	283	16	increases	increase	NOUN
ap-4125	283	17	,	,	PUNCT
ap-4125	283	18	the	the	DET
ap-4125	283	19	rise	rise	NOUN
ap-4125	283	20	height	height	NOUN
ap-4125	283	21	of	of	ADP
ap-4125	283	22	particles	particle	NOUN
ap-4125	283	23	and	and	CCONJ
ap-4125	283	24	the	the	DET
ap-4125	283	25	area	area	NOUN
ap-4125	283	26	of	of	ADP
ap-4125	283	27	particle	particle	NOUN
ap-4125	283	28	dispersion	dispersion	NOUN
ap-4125	283	29	on	on	ADP
ap-4125	283	30	a	a	DET
ap-4125	283	31	disk	disk	NOUN
ap-4125	283	32	surface	surface	NOUN
ap-4125	283	33	increase	increase	NOUN
ap-4125	283	34	as	as	ADV
ap-4125	283	35	well	well	ADV
ap-4125	283	36	.	.	PUNCT
ap-4125	284	1	the	the	DET
ap-4125	284	2	duration	duration	NOUN
ap-4125	284	3	of	of	ADP
ap-4125	284	4	such	such	DET
ap-4125	284	5	a	a	DET
ap-4125	284	6	movement	movement	NOUN
ap-4125	284	7	until	until	SCONJ
ap-4125	284	8	it	it	PRON
ap-4125	284	9	reaches	reach	VERB
ap-4125	284	10	the	the	DET
ap-4125	284	11	lowest	low	ADJ
ap-4125	284	12	point	point	NOUN
ap-4125	284	13	is	be	AUX
ap-4125	284	14	0.26	0.26	NUM
ap-4125	284	15	s.	s.	NOUN
ap-4125	284	16	the	the	DET
ap-4125	284	17	initial	initial	ADJ
ap-4125	284	18	value	value	NOUN
ap-4125	284	19	of	of	ADP
ap-4125	284	20	velocity	velocity	NOUN
ap-4125	284	21	equals	equal	VERB
ap-4125	284	22	to	to	PART
ap-4125	284	23	transverse	transverse	NOUN
ap-4125	284	24	component	component	NOUN
ap-4125	284	25	sin	sin	NOUN
ap-4125	284	26	m	m	NOUN
ap-4125	284	27	v	v	NOUN
ap-4125	284	28			NOUN
ap-4125	284	29	=	=	NOUN
ap-4125	284	30	1.25	1.25	NUM
ap-4125	284	31	m	m	NOUN
ap-4125	284	32	/	/	SYM
ap-4125	284	33	s	s	PROPN
ap-4125	284	34	,	,	PUNCT
ap-4125	284	35	which	which	PRON
ap-4125	284	36	corresponds	correspond	VERB
ap-4125	284	37	to	to	ADP
ap-4125	284	38	initial	initial	ADJ
ap-4125	284	39	angular	angular	ADJ
ap-4125	284	40	velocity	velocity	NOUN
ap-4125	284	41	1sin	1sin	NUM
ap-4125	284	42	2,5	2,5	NUM
ap-4125	284	43	m	m	NOUN
ap-4125	284	44	u	u	NOUN
ap-4125	284	45	v	v	ADP
ap-4125	284	46	r	r	NOUN
ap-4125	284	47	s	s	NOUN
ap-4125	284	48			PROPN
ap-4125	284	49			NUM
ap-4125	284	50			ADJ
ap-4125	284	51	at	at	ADP
ap-4125	284	52	the	the	DET
ap-4125	284	53	point	point	NOUN
ap-4125	284	54	of	of	ADP
ap-4125	284	55	its	its	PRON
ap-4125	284	56	getting	get	VERB
ap-4125	284	57	onto	onto	ADP
ap-4125	284	58	the	the	DET
ap-4125	284	59	surface	surface	NOUN
ap-4125	284	60	.	.	PUNCT
ap-4125	285	1	after	after	ADP
ap-4125	285	2	this	this	PRON
ap-4125	285	3	,	,	PUNCT
ap-4125	285	4	the	the	DET
ap-4125	285	5	velocity	velocity	NOUN
ap-4125	285	6	decreases	decrease	VERB
ap-4125	285	7	,	,	PUNCT
ap-4125	285	8	which	which	PRON
ap-4125	285	9	corresponds	correspond	VERB
ap-4125	285	10	to	to	ADP
ap-4125	285	11	the	the	DET
ap-4125	285	12	rise	rise	NOUN
ap-4125	285	13	of	of	ADP
ap-4125	285	14	a	a	DET
ap-4125	285	15	particle	particle	NOUN
ap-4125	285	16	and	and	CCONJ
ap-4125	285	17	then	then	ADV
ap-4125	285	18	it	it	PRON
ap-4125	285	19	increases	increase	VERB
ap-4125	285	20	again	again	ADV
ap-4125	285	21	.	.	PUNCT
ap-4125	286	1	friction	friction	NOUN
ap-4125	286	2	coefficient	coefficient	NOUN
ap-4125	286	3	does	do	AUX
ap-4125	286	4	not	not	PART
ap-4125	286	5	significantly	significantly	ADV
ap-4125	286	6	influence	influence	VERB
ap-4125	286	7	the	the	DET
ap-4125	286	8	trajectory	trajectory	NOUN
ap-4125	286	9	of	of	ADP
ap-4125	286	10	particle	particle	NOUN
ap-4125	286	11	motion	motion	NOUN
ap-4125	286	12	.	.	PUNCT
ap-4125	287	1	however	however	ADV
ap-4125	287	2	,	,	PUNCT
ap-4125	287	3	if	if	SCONJ
ap-4125	287	4	a	a	DET
ap-4125	287	5	disk	disk	NOUN
ap-4125	287	6	is	be	AUX
ap-4125	287	7	stationary	stationary	ADJ
ap-4125	287	8	,	,	PUNCT
ap-4125	287	9	it	it	PRON
ap-4125	287	10	contributes	contribute	VERB
ap-4125	287	11	more	more	ADJ
ap-4125	287	12	to	to	ADP
ap-4125	287	13	the	the	DET
ap-4125	287	14	formation	formation	NOUN
ap-4125	287	15	of	of	ADP
ap-4125	287	16	a	a	DET
ap-4125	287	17	trajectory	trajectory	NOUN
ap-4125	287	18	of	of	ADP
ap-4125	287	19	particle	particle	NOUN
ap-4125	287	20	motion	motion	NOUN
ap-4125	287	21	.	.	PUNCT
ap-4125	288	1	when	when	SCONJ
ap-4125	288	2	there	there	PRON
ap-4125	288	3	is	be	VERB
ap-4125	288	4	no	no	DET
ap-4125	288	5	friction	friction	NOUN
ap-4125	288	6	an	an	DET
ap-4125	288	7	absolute	absolute	ADJ
ap-4125	288	8	trajectory	trajectory	NOUN
ap-4125	288	9	does	do	AUX
ap-4125	288	10	not	not	PART
ap-4125	288	11	depend	depend	VERB
ap-4125	288	12	on	on	ADP
ap-4125	288	13	the	the	DET
ap-4125	288	14	value	value	NOUN
ap-4125	288	15	of	of	ADP
ap-4125	288	16	angular	angular	ADJ
ap-4125	288	17	velocity	velocity	NOUN
ap-4125	288	18	of	of	ADP
ap-4125	288	19	its	its	PRON
ap-4125	288	20	rotation	rotation	NOUN
ap-4125	288	21	.	.	PUNCT
ap-4125	289	1	friction	friction	NOUN
ap-4125	289	2	forces	force	NOUN
ap-4125	289	3	influence	influence	VERB
ap-4125	289	4	the	the	DET
ap-4125	289	5	trajectories	trajectory	NOUN
ap-4125	289	6	of	of	ADP
ap-4125	289	7	particle	particle	NOUN
ap-4125	289	8	motion	motion	NOUN
ap-4125	289	9	on	on	ADP
ap-4125	289	10	a	a	DET
ap-4125	289	11	stationary	stationary	ADJ
ap-4125	289	12	disk	disk	NOUN
ap-4125	289	13	and	and	CCONJ
ap-4125	289	14	a	a	DET
ap-4125	289	15	moving	move	VERB
ap-4125	289	16	one	one	NUM
ap-4125	289	17	.	.	PUNCT
ap-4125	290	1	in	in	ADP
ap-4125	290	2	both	both	DET
ap-4125	290	3	cases	case	NOUN
ap-4125	290	4	the	the	DET
ap-4125	290	5	trajectories	trajectory	NOUN
ap-4125	290	6	are	be	AUX
ap-4125	290	7	the	the	DET
ap-4125	290	8	same	same	ADJ
ap-4125	290	9	at	at	ADP
ap-4125	290	10	the	the	DET
ap-4125	290	11	stage	stage	NOUN
ap-4125	290	12	of	of	ADP
ap-4125	290	13	particle	particle	NOUN
ap-4125	290	14	rise	rise	NOUN
ap-4125	290	15	and	and	CCONJ
ap-4125	290	16	they	they	PRON
ap-4125	290	17	differ	differ	VERB
ap-4125	290	18	at	at	ADP
ap-4125	290	19	the	the	DET
ap-4125	290	20	stage	stage	NOUN
ap-4125	290	21	of	of	ADP
ap-4125	290	22	particle	particle	NOUN
ap-4125	290	23	downward	downward	ADJ
ap-4125	290	24	movement	movement	NOUN
ap-4125	290	25	.	.	PUNCT
ap-4125	291	1	this	this	PRON
ap-4125	291	2	can	can	AUX
ap-4125	291	3	be	be	AUX
ap-4125	291	4	explained	explain	VERB
ap-4125	291	5	by	by	ADP
ap-4125	291	6	the	the	DET
ap-4125	291	7	fact	fact	NOUN
ap-4125	291	8	that	that	SCONJ
ap-4125	291	9	friction	friction	NOUN
ap-4125	291	10	forces	force	NOUN
ap-4125	291	11	on	on	ADP
ap-4125	291	12	a	a	DET
ap-4125	291	13	moving	move	VERB
ap-4125	291	14	disk	disk	NOUN
ap-4125	291	15	draw	draw	VERB
ap-4125	291	16	a	a	DET
ap-4125	291	17	particle	particle	NOUN
ap-4125	291	18	in	in	ADP
ap-4125	291	19	the	the	DET
ap-4125	291	20	direction	direction	NOUN
ap-4125	291	21	of	of	ADP
ap-4125	291	22	its	its	PRON
ap-4125	291	23	rotation	rotation	NOUN
ap-4125	291	24	.	.	PUNCT
ap-4125	292	1	for	for	ADP
ap-4125	292	2	the	the	DET
ap-4125	292	3	purpose	purpose	NOUN
ap-4125	292	4	of	of	ADP
ap-4125	292	5	the	the	DET
ap-4125	292	6	quality	quality	NOUN
ap-4125	292	7	of	of	ADP
ap-4125	292	8	soil	soil	NOUN
ap-4125	292	9	loosening	loosen	VERB
ap-4125	292	10	conducted	conduct	VERB
ap-4125	292	11	multivariate	multivariate	NOUN
ap-4125	292	12	experiment	experiment	NOUN
ap-4125	292	13	to	to	PART
ap-4125	292	14	determine	determine	VERB
ap-4125	292	15	the	the	DET
ap-4125	292	16	area	area	NOUN
ap-4125	292	17	of	of	ADP
ap-4125	292	18	soil	soil	NOUN
ap-4125	292	19	dissipation	dissipation	NOUN
ap-4125	292	20	.	.	PUNCT
ap-4125	293	1	on	on	ADP
ap-4125	293	2	the	the	DET
ap-4125	293	3	basis	basis	NOUN
ap-4125	293	4	of	of	ADP
ap-4125	293	5	field	field	NOUN
ap-4125	293	6	experiments	experiment	NOUN
ap-4125	293	7	it	it	PRON
ap-4125	293	8	has	have	AUX
ap-4125	293	9	been	be	AUX
ap-4125	293	10	determined	determine	VERB
ap-4125	293	11	that	that	SCONJ
ap-4125	293	12	,	,	PUNCT
ap-4125	293	13	the	the	DET
ap-4125	293	14	production	production	NOUN
ap-4125	293	15	process	process	NOUN
ap-4125	293	16	quality	quality	NOUN
ap-4125	293	17	of	of	ADP
ap-4125	293	18	tillage	tillage	NOUN
ap-4125	293	19	machine	machine	NOUN
ap-4125	293	20	meets	meet	VERB
ap-4125	293	21	agrotechnical	agrotechnical	ADJ
ap-4125	293	22	requirements	requirement	NOUN
ap-4125	293	23	.	.	PUNCT
ap-4125	294	1	the	the	DET
ap-4125	294	2	analysis	analysis	NOUN
ap-4125	294	3	of	of	ADP
ap-4125	294	4	the	the	DET
ap-4125	294	5	surfaces	surface	NOUN
ap-4125	294	6	reveals	reveal	VERB
ap-4125	294	7	,	,	PUNCT
ap-4125	294	8	that	that	SCONJ
ap-4125	294	9	the	the	DET
ap-4125	294	10	area	area	NOUN
ap-4125	294	11	of	of	ADP
ap-4125	294	12	particle	particle	NOUN
ap-4125	294	13	dispersion	dispersion	NOUN
ap-4125	294	14	s	s	PART
ap-4125	294	15	changes	change	NOUN
ap-4125	294	16	within	within	ADP
ap-4125	294	17	the	the	DET
ap-4125	294	18	range	range	NOUN
ap-4125	294	19	of	of	ADP
ap-4125	294	20	70·104	70·104	PROPN
ap-4125	294	21	…	…	SYM
ap-4125	294	22	130·10	130·10	NUM
ap-4125	294	23	-	-	SYM
ap-4125	294	24	4	4	NUM
ap-4125	294	25	(	(	PUNCT
ap-4125	294	26	m2	m2	PROPN
ap-4125	294	27	)	)	PUNCT
ap-4125	294	28	depending	depend	VERB
ap-4125	294	29	on	on	ADP
ap-4125	294	30	the	the	DET
ap-4125	294	31	change	change	NOUN
ap-4125	294	32	in	in	ADP
ap-4125	294	33	design	design	NOUN
ap-4125	294	34	and	and	CCONJ
ap-4125	294	35	kinematic	kinematic	ADJ
ap-4125	294	36	parameters	parameter	NOUN
ap-4125	294	37	and	and	CCONJ
ap-4125	294	38	process	process	NOUN
ap-4125	294	39	variables	variable	NOUN
ap-4125	294	40	of	of	ADP
ap-4125	294	41	a	a	DET
ap-4125	294	42	screw	screw	NOUN
ap-4125	294	43	and	and	CCONJ
ap-4125	294	44	on	on	ADP
ap-4125	294	45	loose	loose	ADJ
ap-4125	294	46	material	material	NOUN
ap-4125	294	47	characteristics	characteristic	NOUN
ap-4125	294	48	within	within	ADP
ap-4125	294	49	the	the	DET
ap-4125	294	50	following	following	ADJ
ap-4125	294	51	limits	limit	NOUN
ap-4125	294	52	:	:	PUNCT
ap-4125	294	53	on	on	ADP
ap-4125	294	54	an	an	DET
ap-4125	294	55	incidence	incidence	NOUN
ap-4125	294	56	angle	angle	NOUN
ap-4125	294	57	of	of	ADP
ap-4125	294	58	disk	disk	NOUN
ap-4125	294	59	α	α	NOUN
ap-4125	294	60	=	=	SYM
ap-4125	294	61	20º	20º	NOUN
ap-4125	294	62	...	...	PUNCT
ap-4125	294	63	30º	30º	NOUN
ap-4125	294	64	;	;	PUNCT
ap-4125	294	65	an	an	DET
ap-4125	294	66	angular	angular	ADJ
ap-4125	294	67	velocity	velocity	NOUN
ap-4125	294	68	of	of	ADP
ap-4125	294	69	disk	disk	NOUN
ap-4125	294	70	rotation	rotation	NOUN
ap-4125	294	71	ω=0	ω=0	PROPN
ap-4125	294	72	...	...	SYM
ap-4125	294	73	10	10	NUM
ap-4125	294	74	(	(	PUNCT
ap-4125	294	75	s-1	s-1	PROPN
ap-4125	294	76	)	)	PUNCT
ap-4125	294	77	;	;	PUNCT
ap-4125	294	78	friction	friction	NOUN
ap-4125	294	79	coefficient	coefficient	NOUN
ap-4125	295	1	f	f	PROPN
ap-4125	295	2	=	=	NOUN
ap-4125	295	3	0.2	0.2	NUM
ap-4125	295	4	…	…	SYM
ap-4125	295	5	0.4	0.4	NUM
ap-4125	295	6	.	.	PUNCT
ap-4125	296	1	it	it	PRON
ap-4125	296	2	has	have	AUX
ap-4125	296	3	been	be	AUX
ap-4125	296	4	determined	determine	VERB
ap-4125	296	5	,	,	PUNCT
ap-4125	296	6	that	that	SCONJ
ap-4125	296	7	an	an	DET
ap-4125	296	8	incidence	incidence	NOUN
ap-4125	296	9	angle	angle	NOUN
ap-4125	296	10	of	of	ADP
ap-4125	296	11	disk	disk	NOUN
ap-4125	296	12	α	α	NOUN
ap-4125	296	13	increase	increase	NOUN
ap-4125	296	14	,	,	PUNCT
ap-4125	296	15	the	the	DET
ap-4125	296	16	area	area	NOUN
ap-4125	296	17	ω	ω	PROPN
ap-4125	296	18	,	,	PUNCT
ap-4125	296	19	s-1	s-1	PROPN
ap-4125	296	20	ω	ω	PROPN
ap-4125	296	21	,	,	PUNCT
ap-4125	296	22	s-1	s-1	PROPN
ap-4125	296	23	s	s	PROPN
ap-4125	296	24	,	,	PUNCT
ap-4125	296	25	10	10	NUM
ap-4125	296	26	-	-	SYM
ap-4125	296	27	4	4	NUM
ap-4125	296	28	m2	m2	PROPN
ap-4125	296	29	f	f	PROPN
ap-4125	296	30	f	f	PROPN
ap-4125	296	31	figure	figure	NOUN
ap-4125	296	32	8	8	NUM
ap-4125	296	33	.	.	PUNCT
ap-4125	297	1	change	change	NOUN
ap-4125	297	2	dependence	dependence	NOUN
ap-4125	297	3	of	of	ADP
ap-4125	297	4	the	the	DET
ap-4125	297	5	area	area	NOUN
ap-4125	297	6	of	of	ADP
ap-4125	297	7	particle	particle	NOUN
ap-4125	297	8	dispersion	dispersion	NOUN
ap-4125	297	9	s	s	VERB
ap-4125	297	10	on	on	ADP
ap-4125	297	11	an	an	DET
ap-4125	297	12	angular	angular	ADJ
ap-4125	297	13	velocity	velocity	NOUN
ap-4125	297	14	of	of	ADP
ap-4125	297	15	disk	disk	NOUN
ap-4125	297	16	rotation	rotation	NOUN
ap-4125	297	17	ω	ω	PROPN
ap-4125	297	18	and	and	CCONJ
ap-4125	297	19	friction	friction	NOUN
ap-4125	297	20	coefficient	coefficient	NOUN
ap-4125	297	21	f	f	PROPN
ap-4125	297	22	as	as	ADP
ap-4125	297	23	functional	functional	ADJ
ap-4125	297	24	s	s	PART
ap-4125	297	25	=	=	SYM
ap-4125	297	26	f	f	X
ap-4125	297	27	(	(	PUNCT
ap-4125	297	28	ω	ω	PROPN
ap-4125	297	29	,	,	PUNCT
ap-4125	297	30	f	f	NOUN
ap-4125	297	31	)	)	PUNCT
ap-4125	297	32	.	.	PUNCT
ap-4125	298	1	70	70	NUM
ap-4125	298	2	·	·	PUNCT
ap-4125	298	3	10−4–130	10−4–130	NUM
ap-4125	298	4	·	·	SYM
ap-4125	298	5	10−4	10−4	NUM
ap-4125	298	6	m2	m2	NOUN
ap-4125	298	7	depending	depend	VERB
ap-4125	298	8	on	on	ADP
ap-4125	298	9	the	the	DET
ap-4125	298	10	change	change	NOUN
ap-4125	298	11	in	in	ADP
ap-4125	298	12	design	design	NOUN
ap-4125	298	13	and	and	CCONJ
ap-4125	298	14	kinematic	kinematic	ADJ
ap-4125	298	15	parameters	parameter	NOUN
ap-4125	298	16	and	and	CCONJ
ap-4125	298	17	process	process	NOUN
ap-4125	298	18	variables	variable	NOUN
ap-4125	298	19	of	of	ADP
ap-4125	298	20	a	a	DET
ap-4125	298	21	screw	screw	NOUN
ap-4125	298	22	and	and	CCONJ
ap-4125	298	23	on	on	ADP
ap-4125	298	24	loose	loose	ADJ
ap-4125	298	25	material	material	NOUN
ap-4125	298	26	characteristics	characteristic	NOUN
ap-4125	298	27	within	within	ADP
ap-4125	298	28	the	the	DET
ap-4125	298	29	following	following	ADJ
ap-4125	298	30	limits	limit	NOUN
ap-4125	298	31	:	:	PUNCT
ap-4125	298	32	on	on	ADP
ap-4125	298	33	an	an	DET
ap-4125	298	34	incidence	incidence	NOUN
ap-4125	298	35	angle	angle	NOUN
ap-4125	298	36	of	of	ADP
ap-4125	298	37	a	a	DET
ap-4125	298	38	disk	disk	NOUN
ap-4125	298	39	α	α	NOUN
ap-4125	298	40	=	=	SYM
ap-4125	298	41	20	20	NUM
ap-4125	298	42	°	°	NUM
ap-4125	298	43	–30	–30	VERB
ap-4125	298	44	°	°	PROPN
ap-4125	298	45	;	;	PUNCT
ap-4125	298	46	an	an	DET
ap-4125	298	47	angular	angular	ADJ
ap-4125	298	48	velocity	velocity	NOUN
ap-4125	298	49	of	of	ADP
ap-4125	298	50	the	the	DET
ap-4125	298	51	disk	disk	NOUN
ap-4125	298	52	rotation	rotation	NOUN
ap-4125	298	53	ω	ω	NOUN
ap-4125	298	54	=	=	SYM
ap-4125	298	55	0−−10	0−−10	NUM
ap-4125	299	1	s−1	s−1	NOUN
ap-4125	299	2	;	;	PUNCT
ap-4125	299	3	the	the	DET
ap-4125	299	4	friction	friction	NOUN
ap-4125	299	5	coefficient	coefficient	NOUN
ap-4125	299	6	f	f	PROPN
ap-4125	299	7	=	=	NOUN
ap-4125	299	8	0.2–0.4	0.2–0.4	X
ap-4125	299	9	.	.	PUNCT
ap-4125	300	1	it	it	PRON
ap-4125	300	2	has	have	AUX
ap-4125	300	3	been	be	AUX
ap-4125	300	4	determined	determine	VERB
ap-4125	300	5	that	that	SCONJ
ap-4125	300	6	when	when	SCONJ
ap-4125	300	7	an	an	DET
ap-4125	300	8	incidence	incidence	NOUN
ap-4125	300	9	angle	angle	NOUN
ap-4125	300	10	of	of	ADP
ap-4125	300	11	a	a	DET
ap-4125	300	12	disk	disk	NOUN
ap-4125	300	13	α	α	NOUN
ap-4125	300	14	increases	increase	NOUN
ap-4125	300	15	,	,	PUNCT
ap-4125	300	16	the	the	DET
ap-4125	300	17	area	area	NOUN
ap-4125	300	18	of	of	ADP
ap-4125	300	19	particle	particle	NOUN
ap-4125	300	20	dispersion	dispersion	NOUN
ap-4125	300	21	s	s	PART
ap-4125	300	22	increases	increase	NOUN
ap-4125	300	23	as	as	ADV
ap-4125	300	24	well	well	ADV
ap-4125	300	25	1.81	1.81	NUM
ap-4125	300	26	times	time	NOUN
ap-4125	300	27	;	;	PUNCT
ap-4125	300	28	when	when	SCONJ
ap-4125	300	29	an	an	DET
ap-4125	300	30	angular	angular	ADJ
ap-4125	300	31	velocity	velocity	NOUN
ap-4125	300	32	of	of	ADP
ap-4125	300	33	a	a	DET
ap-4125	300	34	disk	disk	NOUN
ap-4125	300	35	rotation	rotation	NOUN
ap-4125	300	36	ω	ω	NUM
ap-4125	300	37	increases	increase	NOUN
ap-4125	300	38	,	,	PUNCT
ap-4125	300	39	s	s	VERB
ap-4125	300	40	decreases	decrease	NOUN
ap-4125	300	41	1.36	1.36	NUM
ap-4125	300	42	times	time	NOUN
ap-4125	300	43	;	;	PUNCT
ap-4125	300	44	within	within	ADP
ap-4125	300	45	the	the	DET
ap-4125	300	46	range	range	NOUN
ap-4125	300	47	of	of	ADP
ap-4125	300	48	the	the	DET
ap-4125	300	49	change	change	NOUN
ap-4125	300	50	in	in	ADP
ap-4125	300	51	the	the	DET
ap-4125	300	52	friction	friction	NOUN
ap-4125	300	53	coefficient	coefficient	NOUN
ap-4125	300	54	f	f	PROPN
ap-4125	300	55	,	,	PUNCT
ap-4125	300	56	the	the	DET
ap-4125	300	57	change	change	NOUN
ap-4125	300	58	in	in	ADP
ap-4125	300	59	s	s	PROPN
ap-4125	300	60	is	be	AUX
ap-4125	300	61	insignificant	insignificant	ADJ
ap-4125	300	62	.	.	PUNCT
ap-4125	301	1	4	4	X
ap-4125	301	2	.	.	X
ap-4125	301	3	conclusion	conclusion	VERB
ap-4125	301	4	a	a	DET
ap-4125	301	5	mathematical	mathematical	ADJ
ap-4125	301	6	model	model	NOUN
ap-4125	301	7	of	of	ADP
ap-4125	301	8	soil	soil	NOUN
ap-4125	301	9	particle	particle	NOUN
ap-4125	301	10	motion	motion	NOUN
ap-4125	301	11	on	on	ADP
ap-4125	301	12	a	a	DET
ap-4125	301	13	disk	disk	NOUN
ap-4125	301	14	operating	operating	NOUN
ap-4125	301	15	element	element	NOUN
ap-4125	301	16	,	,	PUNCT
ap-4125	301	17	which	which	PRON
ap-4125	301	18	rotates	rotate	VERB
ap-4125	301	19	around	around	ADP
ap-4125	301	20	a	a	DET
ap-4125	301	21	fixed	fix	VERB
ap-4125	301	22	horizontal	horizontal	ADJ
ap-4125	301	23	axis	axis	NOUN
ap-4125	301	24	,	,	PUNCT
ap-4125	301	25	has	have	AUX
ap-4125	301	26	been	be	AUX
ap-4125	301	27	developed	develop	VERB
ap-4125	301	28	.	.	PUNCT
ap-4125	302	1	the	the	DET
ap-4125	302	2	results	result	NOUN
ap-4125	302	3	of	of	ADP
ap-4125	302	4	the	the	DET
ap-4125	302	5	numerical	numerical	ADJ
ap-4125	302	6	solution	solution	NOUN
ap-4125	302	7	of	of	ADP
ap-4125	302	8	the	the	DET
ap-4125	302	9	equations	equation	NOUN
ap-4125	302	10	have	have	AUX
ap-4125	302	11	shown	show	VERB
ap-4125	302	12	that	that	SCONJ
ap-4125	302	13	when	when	SCONJ
ap-4125	302	14	the	the	DET
ap-4125	302	15	incidence	incidence	NOUN
ap-4125	302	16	angle	angle	NOUN
ap-4125	302	17	increases	increase	NOUN
ap-4125	302	18	,	,	PUNCT
ap-4125	302	19	the	the	DET
ap-4125	302	20	rise	rise	NOUN
ap-4125	302	21	height	height	NOUN
ap-4125	302	22	of	of	ADP
ap-4125	302	23	particles	particle	NOUN
ap-4125	302	24	and	and	CCONJ
ap-4125	302	25	the	the	DET
ap-4125	302	26	area	area	NOUN
ap-4125	302	27	of	of	ADP
ap-4125	302	28	the	the	DET
ap-4125	302	29	particle	particle	NOUN
ap-4125	302	30	dispersion	dispersion	NOUN
ap-4125	302	31	on	on	ADP
ap-4125	302	32	a	a	DET
ap-4125	302	33	disk	disk	NOUN
ap-4125	302	34	surface	surface	NOUN
ap-4125	302	35	increase	increase	NOUN
ap-4125	302	36	as	as	ADV
ap-4125	302	37	well	well	ADV
ap-4125	302	38	.	.	PUNCT
ap-4125	303	1	the	the	DET
ap-4125	303	2	duration	duration	NOUN
ap-4125	303	3	of	of	ADP
ap-4125	303	4	such	such	ADJ
ap-4125	303	5	movement	movement	NOUN
ap-4125	303	6	until	until	SCONJ
ap-4125	303	7	it	it	PRON
ap-4125	303	8	reaches	reach	VERB
ap-4125	303	9	the	the	DET
ap-4125	303	10	lowest	low	ADJ
ap-4125	303	11	point	point	NOUN
ap-4125	303	12	is	be	AUX
ap-4125	303	13	0.26	0.26	NUM
ap-4125	303	14	s.	s.	NOUN
ap-4125	303	15	the	the	DET
ap-4125	303	16	initial	initial	ADJ
ap-4125	303	17	value	value	NOUN
ap-4125	303	18	of	of	ADP
ap-4125	303	19	the	the	DET
ap-4125	303	20	velocity	velocity	NOUN
ap-4125	303	21	equals	equal	VERB
ap-4125	303	22	to	to	PART
ap-4125	303	23	transverse	transverse	VERB
ap-4125	303	24	component	component	PROPN
ap-4125	303	25	vm	vm	PROPN
ap-4125	303	26	sinα	sinα	PROPN
ap-4125	303	27	=	=	PROPN
ap-4125	303	28	1.25	1.25	NUM
ap-4125	303	29	m/s	m/s	PROPN
ap-4125	303	30	,	,	PUNCT
ap-4125	303	31	which	which	PRON
ap-4125	303	32	corresponds	correspond	VERB
ap-4125	303	33	to	to	ADP
ap-4125	303	34	the	the	DET
ap-4125	303	35	initial	initial	ADJ
ap-4125	303	36	angular	angular	ADJ
ap-4125	303	37	velocity	velocity	NOUN
ap-4125	303	38	u′	u′	PROPN
ap-4125	303	39	=	=	SYM
ap-4125	303	40	vm	vm	PROPN
ap-4125	303	41	sinα	sinα	PROPN
ap-4125	303	42	/	/	SYM
ap-4125	303	43	r	r	NOUN
ap-4125	303	44	=	=	SYM
ap-4125	303	45	2.5	2.5	NUM
ap-4125	303	46	s−1	s−1	NOUN
ap-4125	303	47	at	at	ADP
ap-4125	303	48	the	the	DET
ap-4125	303	49	point	point	NOUN
ap-4125	303	50	of	of	ADP
ap-4125	303	51	it	it	PRON
ap-4125	303	52	getting	get	VERB
ap-4125	303	53	onto	onto	ADP
ap-4125	303	54	the	the	DET
ap-4125	303	55	surface	surface	NOUN
ap-4125	303	56	.	.	PUNCT
ap-4125	304	1	after	after	ADP
ap-4125	304	2	this	this	PRON
ap-4125	304	3	,	,	PUNCT
ap-4125	304	4	the	the	DET
ap-4125	304	5	velocity	velocity	NOUN
ap-4125	304	6	decreases	decrease	VERB
ap-4125	304	7	,	,	PUNCT
ap-4125	304	8	which	which	PRON
ap-4125	304	9	corresponds	correspond	VERB
ap-4125	304	10	to	to	ADP
ap-4125	304	11	the	the	DET
ap-4125	304	12	rise	rise	NOUN
ap-4125	304	13	of	of	ADP
ap-4125	304	14	a	a	DET
ap-4125	304	15	particle	particle	NOUN
ap-4125	304	16	and	and	CCONJ
ap-4125	304	17	then	then	ADV
ap-4125	304	18	it	it	PRON
ap-4125	304	19	increases	increase	VERB
ap-4125	304	20	again	again	ADV
ap-4125	304	21	.	.	PUNCT
ap-4125	305	1	the	the	DET
ap-4125	305	2	friction	friction	NOUN
ap-4125	305	3	coefficient	coefficient	NOUN
ap-4125	305	4	does	do	AUX
ap-4125	305	5	not	not	PART
ap-4125	305	6	significantly	significantly	ADV
ap-4125	305	7	influence	influence	VERB
ap-4125	305	8	the	the	DET
ap-4125	305	9	trajectory	trajectory	NOUN
ap-4125	305	10	of	of	ADP
ap-4125	305	11	particle	particle	NOUN
ap-4125	305	12	motion	motion	NOUN
ap-4125	305	13	.	.	PUNCT
ap-4125	306	1	however	however	ADV
ap-4125	306	2	,	,	PUNCT
ap-4125	306	3	if	if	SCONJ
ap-4125	306	4	a	a	DET
ap-4125	306	5	disk	disk	NOUN
ap-4125	306	6	is	be	AUX
ap-4125	306	7	stationary	stationary	ADJ
ap-4125	306	8	,	,	PUNCT
ap-4125	306	9	it	it	PRON
ap-4125	306	10	contributes	contribute	VERB
ap-4125	306	11	more	more	ADJ
ap-4125	306	12	to	to	ADP
ap-4125	306	13	the	the	DET
ap-4125	306	14	formation	formation	NOUN
ap-4125	306	15	of	of	ADP
ap-4125	306	16	a	a	DET
ap-4125	306	17	trajectory	trajectory	NOUN
ap-4125	306	18	of	of	ADP
ap-4125	306	19	particle	particle	NOUN
ap-4125	306	20	motion	motion	NOUN
ap-4125	306	21	.	.	PUNCT
ap-4125	307	1	when	when	SCONJ
ap-4125	307	2	there	there	PRON
ap-4125	307	3	is	be	VERB
ap-4125	307	4	no	no	DET
ap-4125	307	5	friction	friction	NOUN
ap-4125	307	6	,	,	PUNCT
ap-4125	307	7	an	an	DET
ap-4125	307	8	absolute	absolute	ADJ
ap-4125	307	9	trajectory	trajectory	NOUN
ap-4125	307	10	does	do	AUX
ap-4125	307	11	not	not	PART
ap-4125	307	12	depend	depend	VERB
ap-4125	307	13	on	on	ADP
ap-4125	307	14	the	the	DET
ap-4125	307	15	value	value	NOUN
ap-4125	307	16	of	of	ADP
ap-4125	307	17	the	the	DET
ap-4125	307	18	angular	angular	ADJ
ap-4125	307	19	velocity	velocity	NOUN
ap-4125	307	20	of	of	ADP
ap-4125	307	21	its	its	PRON
ap-4125	307	22	rotation	rotation	NOUN
ap-4125	307	23	.	.	PUNCT
ap-4125	308	1	friction	friction	NOUN
ap-4125	308	2	forces	force	NOUN
ap-4125	308	3	influence	influence	VERB
ap-4125	308	4	the	the	DET
ap-4125	308	5	trajectories	trajectory	NOUN
ap-4125	308	6	of	of	ADP
ap-4125	308	7	particle	particle	NOUN
ap-4125	308	8	motion	motion	NOUN
ap-4125	308	9	on	on	ADP
ap-4125	308	10	a	a	DET
ap-4125	308	11	stationary	stationary	ADJ
ap-4125	308	12	disk	disk	NOUN
ap-4125	308	13	and	and	CCONJ
ap-4125	308	14	a	a	DET
ap-4125	308	15	moving	move	VERB
ap-4125	308	16	one	one	NUM
ap-4125	308	17	.	.	PUNCT
ap-4125	309	1	in	in	ADP
ap-4125	309	2	both	both	DET
ap-4125	309	3	207	207	NUM
ap-4125	309	4	s.	s.	PROPN
ap-4125	309	5	f.	f.	PROPN
ap-4125	309	6	pylypaka	pylypaka	PROPN
ap-4125	309	7	,	,	PUNCT
ap-4125	309	8	m.	m.	PROPN
ap-4125	309	9	e.	e.	PROPN
ap-4125	309	10	klendii	klendii	PROPN
ap-4125	309	11	,	,	PUNCT
ap-4125	309	12	o.	o.	PROPN
ap-4125	309	13	m.	m.	PROPN
ap-4125	309	14	klendii	klendii	PROPN
ap-4125	309	15	acta	acta	PROPN
ap-4125	309	16	polytechnica	polytechnica	PROPN
ap-4125	309	17	cases	case	NOUN
ap-4125	309	18	,	,	PUNCT
ap-4125	309	19	the	the	DET
ap-4125	309	20	trajectories	trajectory	NOUN
ap-4125	309	21	are	be	AUX
ap-4125	309	22	the	the	DET
ap-4125	309	23	same	same	ADJ
ap-4125	309	24	at	at	ADP
ap-4125	309	25	the	the	DET
ap-4125	309	26	stage	stage	NOUN
ap-4125	309	27	of	of	ADP
ap-4125	309	28	the	the	DET
ap-4125	309	29	particle	particle	NOUN
ap-4125	309	30	rise	rise	NOUN
ap-4125	309	31	and	and	CCONJ
ap-4125	309	32	they	they	PRON
ap-4125	309	33	differ	differ	VERB
ap-4125	309	34	at	at	ADP
ap-4125	309	35	the	the	DET
ap-4125	309	36	stage	stage	NOUN
ap-4125	309	37	of	of	ADP
ap-4125	309	38	the	the	DET
ap-4125	309	39	particle	particle	NOUN
ap-4125	309	40	downward	downward	ADJ
ap-4125	309	41	movement	movement	NOUN
ap-4125	309	42	.	.	PUNCT
ap-4125	310	1	this	this	PRON
ap-4125	310	2	can	can	AUX
ap-4125	310	3	be	be	AUX
ap-4125	310	4	explained	explain	VERB
ap-4125	310	5	by	by	ADP
ap-4125	310	6	the	the	DET
ap-4125	310	7	fact	fact	NOUN
ap-4125	310	8	that	that	SCONJ
ap-4125	310	9	friction	friction	NOUN
ap-4125	310	10	forces	force	NOUN
ap-4125	310	11	on	on	ADP
ap-4125	310	12	a	a	DET
ap-4125	310	13	moving	move	VERB
ap-4125	310	14	disk	disk	NOUN
ap-4125	310	15	draw	draw	VERB
ap-4125	310	16	a	a	DET
ap-4125	310	17	particle	particle	NOUN
ap-4125	310	18	in	in	ADP
ap-4125	310	19	the	the	DET
ap-4125	310	20	direction	direction	NOUN
ap-4125	310	21	of	of	ADP
ap-4125	310	22	its	its	PRON
ap-4125	310	23	rotation	rotation	NOUN
ap-4125	310	24	.	.	PUNCT
ap-4125	311	1	for	for	ADP
ap-4125	311	2	the	the	DET
ap-4125	311	3	purpose	purpose	NOUN
ap-4125	311	4	of	of	ADP
ap-4125	311	5	the	the	DET
ap-4125	311	6	quality	quality	NOUN
ap-4125	311	7	of	of	ADP
ap-4125	311	8	soil	soil	NOUN
ap-4125	311	9	loosening	loosen	VERB
ap-4125	311	10	,	,	PUNCT
ap-4125	311	11	we	we	PRON
ap-4125	311	12	conducted	conduct	VERB
ap-4125	311	13	a	a	DET
ap-4125	311	14	multivariate	multivariate	NOUN
ap-4125	311	15	experiment	experiment	NOUN
ap-4125	311	16	to	to	PART
ap-4125	311	17	determine	determine	VERB
ap-4125	311	18	the	the	DET
ap-4125	311	19	area	area	NOUN
ap-4125	311	20	of	of	ADP
ap-4125	311	21	the	the	DET
ap-4125	311	22	soil	soil	NOUN
ap-4125	311	23	dissipation	dissipation	NOUN
ap-4125	311	24	.	.	PUNCT
ap-4125	312	1	on	on	ADP
ap-4125	312	2	the	the	DET
ap-4125	312	3	basis	basis	NOUN
ap-4125	312	4	of	of	ADP
ap-4125	312	5	field	field	NOUN
ap-4125	312	6	experiments	experiment	NOUN
ap-4125	312	7	it	it	PRON
ap-4125	312	8	has	have	AUX
ap-4125	312	9	been	be	AUX
ap-4125	312	10	determined	determine	VERB
ap-4125	312	11	that	that	SCONJ
ap-4125	312	12	the	the	DET
ap-4125	312	13	production	production	NOUN
ap-4125	312	14	process	process	NOUN
ap-4125	312	15	quality	quality	NOUN
ap-4125	312	16	of	of	ADP
ap-4125	312	17	a	a	DET
ap-4125	312	18	tillage	tillage	NOUN
ap-4125	312	19	machine	machine	NOUN
ap-4125	312	20	meets	meet	VERB
ap-4125	312	21	the	the	DET
ap-4125	312	22	agrotechnical	agrotechnical	ADJ
ap-4125	312	23	requirements	requirement	NOUN
ap-4125	312	24	.	.	PUNCT
ap-4125	313	1	the	the	DET
ap-4125	313	2	analysis	analysis	NOUN
ap-4125	313	3	of	of	ADP
ap-4125	313	4	the	the	DET
ap-4125	313	5	surfaces	surface	NOUN
ap-4125	313	6	reveals	reveal	VERB
ap-4125	313	7	,	,	PUNCT
ap-4125	313	8	that	that	SCONJ
ap-4125	313	9	the	the	DET
ap-4125	313	10	area	area	NOUN
ap-4125	313	11	of	of	ADP
ap-4125	313	12	particle	particle	NOUN
ap-4125	313	13	dispersion	dispersion	NOUN
ap-4125	313	14	s	s	PART
ap-4125	313	15	changes	change	NOUN
ap-4125	313	16	within	within	ADP
ap-4125	313	17	the	the	DET
ap-4125	313	18	range	range	NOUN
ap-4125	313	19	of	of	ADP
ap-4125	313	20	70	70	NUM
ap-4125	313	21	·	·	PUNCT
ap-4125	313	22	10−4–130	10−4–130	NUM
ap-4125	313	23	·	·	SYM
ap-4125	313	24	10−4	10−4	NUM
ap-4125	313	25	m2	m2	NOUN
ap-4125	313	26	depending	depend	VERB
ap-4125	313	27	on	on	ADP
ap-4125	313	28	the	the	DET
ap-4125	313	29	change	change	NOUN
ap-4125	313	30	in	in	ADP
ap-4125	313	31	design	design	NOUN
ap-4125	313	32	and	and	CCONJ
ap-4125	313	33	kinematic	kinematic	ADJ
ap-4125	313	34	parameters	parameter	NOUN
ap-4125	313	35	and	and	CCONJ
ap-4125	313	36	process	process	NOUN
ap-4125	313	37	variables	variable	NOUN
ap-4125	313	38	of	of	ADP
ap-4125	313	39	a	a	DET
ap-4125	313	40	screw	screw	NOUN
ap-4125	313	41	and	and	CCONJ
ap-4125	313	42	on	on	ADP
ap-4125	313	43	loose	loose	ADJ
ap-4125	313	44	material	material	NOUN
ap-4125	313	45	characteristics	characteristic	NOUN
ap-4125	313	46	within	within	ADP
ap-4125	313	47	the	the	DET
ap-4125	313	48	following	following	ADJ
ap-4125	313	49	limits	limit	NOUN
ap-4125	313	50	:	:	PUNCT
ap-4125	313	51	on	on	ADP
ap-4125	313	52	an	an	DET
ap-4125	313	53	incidence	incidence	NOUN
ap-4125	313	54	angle	angle	NOUN
ap-4125	313	55	of	of	ADP
ap-4125	313	56	a	a	DET
ap-4125	313	57	disk	disk	NOUN
ap-4125	313	58	α	α	NOUN
ap-4125	313	59	=	=	SYM
ap-4125	313	60	20	20	NUM
ap-4125	313	61	°	°	NUM
ap-4125	313	62	–30	–30	VERB
ap-4125	313	63	°	°	PROPN
ap-4125	313	64	;	;	PUNCT
ap-4125	313	65	an	an	DET
ap-4125	313	66	angular	angular	ADJ
ap-4125	313	67	velocity	velocity	NOUN
ap-4125	313	68	of	of	ADP
ap-4125	313	69	the	the	DET
ap-4125	313	70	disk	disk	NOUN
ap-4125	313	71	rotation	rotation	NOUN
ap-4125	313	72	ω	ω	NOUN
ap-4125	313	73	=	=	SYM
ap-4125	313	74	0–10	0–10	PROPN
ap-4125	313	75	s−1	s−1	PROPN
ap-4125	313	76	;	;	PUNCT
ap-4125	313	77	the	the	DET
ap-4125	313	78	friction	friction	NOUN
ap-4125	313	79	coefficient	coefficient	NOUN
ap-4125	313	80	f	f	PROPN
ap-4125	313	81	=	=	NOUN
ap-4125	313	82	0.2–0.4	0.2–0.4	X
ap-4125	313	83	.	.	PUNCT
ap-4125	314	1	it	it	PRON
ap-4125	314	2	has	have	AUX
ap-4125	314	3	been	be	AUX
ap-4125	314	4	determined	determine	VERB
ap-4125	314	5	that	that	SCONJ
ap-4125	314	6	when	when	SCONJ
ap-4125	314	7	an	an	DET
ap-4125	314	8	incidence	incidence	NOUN
ap-4125	314	9	angle	angle	NOUN
ap-4125	314	10	of	of	ADP
ap-4125	314	11	a	a	DET
ap-4125	314	12	disk	disk	NOUN
ap-4125	314	13	α	α	NOUN
ap-4125	314	14	increases	increase	NOUN
ap-4125	314	15	,	,	PUNCT
ap-4125	314	16	the	the	DET
ap-4125	314	17	area	area	NOUN
ap-4125	314	18	of	of	ADP
ap-4125	314	19	particle	particle	NOUN
ap-4125	314	20	dispersion	dispersion	NOUN
ap-4125	314	21	s	s	PART
ap-4125	314	22	increases	increase	NOUN
ap-4125	314	23	as	as	ADV
ap-4125	314	24	well	well	ADV
ap-4125	314	25	1.81	1.81	NUM
ap-4125	314	26	times	time	NOUN
ap-4125	314	27	;	;	PUNCT
ap-4125	314	28	when	when	SCONJ
ap-4125	314	29	an	an	DET
ap-4125	314	30	angular	angular	ADJ
ap-4125	314	31	velocity	velocity	NOUN
ap-4125	314	32	of	of	ADP
ap-4125	314	33	a	a	DET
ap-4125	314	34	disk	disk	NOUN
ap-4125	314	35	rotation	rotation	NOUN
ap-4125	314	36	ω	ω	NUM
ap-4125	314	37	increases	increase	NOUN
ap-4125	314	38	,	,	PUNCT
ap-4125	314	39	s	s	VERB
ap-4125	314	40	decreases	decrease	NOUN
ap-4125	314	41	1.36	1.36	NUM
ap-4125	314	42	times	time	NOUN
ap-4125	314	43	;	;	PUNCT
ap-4125	314	44	within	within	ADP
ap-4125	314	45	the	the	DET
ap-4125	314	46	range	range	NOUN
ap-4125	314	47	of	of	ADP
ap-4125	314	48	the	the	DET
ap-4125	314	49	change	change	NOUN
ap-4125	314	50	in	in	ADP
ap-4125	314	51	the	the	DET
ap-4125	314	52	friction	friction	NOUN
ap-4125	314	53	coefficient	coefficient	NOUN
ap-4125	314	54	f	f	PROPN
ap-4125	314	55	,	,	PUNCT
ap-4125	314	56	the	the	DET
ap-4125	314	57	change	change	NOUN
ap-4125	314	58	in	in	ADP
ap-4125	314	59	s	s	PROPN
ap-4125	314	60	is	be	AUX
ap-4125	314	61	insignificant	insignificant	ADJ
ap-4125	314	62	.	.	PUNCT
ap-4125	315	1	references	reference	NOUN
ap-4125	315	2	[	[	X
ap-4125	315	3	1	1	NUM
ap-4125	315	4	]	]	X
ap-4125	315	5	gevko	gevko	PROPN
ap-4125	315	6	r.b	r.b	PROPN
ap-4125	315	7	.	.	PROPN
ap-4125	315	8	,	,	PUNCT
ap-4125	315	9	klendiy	klendiy	PROPN
ap-4125	315	10	o.m	o.m	PROPN
ap-4125	315	11	.	.	PUNCT
ap-4125	316	1	(	(	PUNCT
ap-4125	316	2	2014	2014	NUM
ap-4125	316	3	)	)	PUNCT
ap-4125	316	4	–	–	PUNCT
ap-4125	317	1	the	the	DET
ap-4125	317	2	investigation	investigation	NOUN
ap-4125	317	3	of	of	ADP
ap-4125	317	4	the	the	DET
ap-4125	317	5	process	process	NOUN
ap-4125	317	6	of	of	ADP
ap-4125	317	7	the	the	DET
ap-4125	317	8	actuation	actuation	NOUN
ap-4125	317	9	of	of	ADP
ap-4125	317	10	the	the	DET
ap-4125	317	11	safety	safety	NOUN
ap-4125	317	12	device	device	NOUN
ap-4125	317	13	of	of	ADP
ap-4125	317	14	a	a	DET
ap-4125	317	15	screw	screw	NOUN
ap-4125	317	16	conveyer	conveyer	NOUN
ap-4125	317	17	,	,	PUNCT
ap-4125	317	18	inmateh	inmateh	NOUN
ap-4125	317	19	:	:	PUNCT
ap-4125	317	20	agricultural	agricultural	ADJ
ap-4125	317	21	engineering	engineering	NOUN
ap-4125	317	22	,	,	PUNCT
ap-4125	317	23	vol	vol	NOUN
ap-4125	317	24	.	.	PROPN
ap-4125	317	25	42	42	NUM
ap-4125	317	26	,	,	PUNCT
ap-4125	317	27	no	no	INTJ
ap-4125	317	28	.	.	NOUN
ap-4125	317	29	1	1	NUM
ap-4125	317	30	,	,	PUNCT
ap-4125	317	31	pg	pg	INTJ
ap-4125	317	32	.	.	PUNCT
ap-4125	317	33	55	55	NUM
ap-4125	317	34	-	-	SYM
ap-4125	317	35	60	60	NUM
ap-4125	317	36	,	,	PUNCT
ap-4125	317	37	bucharest	buchar	ADJ
ap-4125	317	38	,	,	PUNCT
ap-4125	317	39	romania	romania	PROPN
ap-4125	317	40	.	.	PUNCT
ap-4125	318	1	[	[	X
ap-4125	318	2	2	2	NUM
ap-4125	318	3	]	]	X
ap-4125	318	4	gyachev	gyachev	ADJ
ap-4125	318	5	l.v	l.v	PROPN
ap-4125	318	6	.	.	PROPN
ap-4125	318	7	(	(	PUNCT
ap-4125	318	8	1961	1961	NUM
ap-4125	318	9	)	)	PUNCT
ap-4125	318	10	theory	theory	NOUN
ap-4125	318	11	of	of	ADP
ap-4125	318	12	plow	plow	NOUN
ap-4125	318	13	-	-	PUNCT
ap-4125	318	14	bottom	bottom	NOUN
ap-4125	318	15	surface	surface	NOUN
ap-4125	318	16	.	.	PUNCT
ap-4125	319	1	zelenograd	zelenograd	PROPN
ap-4125	319	2	,	,	PUNCT
ap-4125	319	3	317	317	NUM
ap-4125	320	1	p.	p.	NOUN
ap-4125	321	1	[	[	X
ap-4125	321	2	3	3	X
ap-4125	321	3	]	]	X
ap-4125	321	4	hevko	hevko	PROPN
ap-4125	321	5	r.b	r.b	PROPN
ap-4125	321	6	.	.	PROPN
ap-4125	321	7	,	,	PUNCT
ap-4125	321	8	dzyura	dzyura	NOUN
ap-4125	321	9	v.o	v.o	PROPN
ap-4125	321	10	.	.	PROPN
ap-4125	321	11	,	,	PUNCT
ap-4125	321	12	romanovsky	romanovsky	VERB
ap-4125	321	13	r.m	r.m	PROPN
ap-4125	321	14	.	.	PROPN
ap-4125	321	15	,	,	PUNCT
ap-4125	321	16	(	(	PUNCT
ap-4125	321	17	2014	2014	NUM
ap-4125	321	18	)	)	PUNCT
ap-4125	321	19	,	,	PUNCT
ap-4125	321	20	mathematical	mathematical	ADJ
ap-4125	321	21	model	model	NOUN
ap-4125	321	22	of	of	ADP
ap-4125	321	23	the	the	DET
ap-4125	321	24	pneumatic	pneumatic	ADJ
ap-4125	321	25	-	-	PUNCT
ap-4125	321	26	screw	screw	ADJ
ap-4125	321	27	conveyor	conveyor	NOUN
ap-4125	321	28	screw	screw	NOUN
ap-4125	321	29	mechanism	mechanism	NOUN
ap-4125	321	30	operation	operation	NOUN
ap-4125	321	31	,	,	PUNCT
ap-4125	321	32	inmateh	inmateh	NOUN
ap-4125	321	33	:	:	PUNCT
ap-4125	321	34	agricultural	agricultural	ADJ
ap-4125	321	35	engineering	engineering	NOUN
ap-4125	321	36	,	,	PUNCT
ap-4125	321	37	vol.44	vol.44	NOUN
ap-4125	321	38	,	,	PUNCT
ap-4125	321	39	no.3	no.3	NOUN
ap-4125	321	40	,	,	PUNCT
ap-4125	321	41	pg.103	pg.103	NOUN
ap-4125	321	42	-	-	SYM
ap-4125	321	43	110	110	NUM
ap-4125	321	44	,	,	PUNCT
ap-4125	321	45	bucharest	buchar	ADJ
ap-4125	321	46	/	/	SYM
ap-4125	321	47	romania	romania	PROPN
ap-4125	321	48	;	;	PUNCT
ap-4125	322	1	[	[	X
ap-4125	322	2	4	4	X
ap-4125	322	3	]	]	X
ap-4125	322	4	hevko	hevko	PROPN
ap-4125	322	5	r.b	r.b	PROPN
ap-4125	322	6	.	.	PROPN
ap-4125	322	7	,	,	PUNCT
ap-4125	322	8	klendii	klendii	PROPN
ap-4125	322	9	m.b	m.b	PROPN
ap-4125	322	10	.	.	PROPN
ap-4125	322	11	,	,	PUNCT
ap-4125	322	12	klendii	klendii	PROPN
ap-4125	322	13	o.m	o.m	PROPN
ap-4125	322	14	.	.	PUNCT
ap-4125	323	1	(	(	PUNCT
ap-4125	323	2	2016	2016	NUM
ap-4125	323	3	)	)	PUNCT
ap-4125	323	4	investigation	investigation	NOUN
ap-4125	323	5	of	of	ADP
ap-4125	323	6	a	a	DET
ap-4125	323	7	transfer	transfer	NOUN
ap-4125	323	8	branch	branch	NOUN
ap-4125	323	9	of	of	ADP
ap-4125	323	10	a	a	DET
ap-4125	323	11	flexible	flexible	ADJ
ap-4125	323	12	screw	screw	NOUN
ap-4125	323	13	conveyer	conveyer	PROPN
ap-4125	323	14	,	,	PUNCT
ap-4125	323	15	inmateh	inmateh	NOUN
ap-4125	323	16	:	:	PUNCT
ap-4125	323	17	agricultural	agricultural	ADJ
ap-4125	323	18	engineering	engineering	NOUN
ap-4125	323	19	,	,	PUNCT
ap-4125	323	20	vol	vol	NOUN
ap-4125	323	21	.	.	PROPN
ap-4125	323	22	48	48	NUM
ap-4125	323	23	,	,	PUNCT
ap-4125	323	24	no	no	INTJ
ap-4125	323	25	.	.	PUNCT
ap-4125	324	1	1/2016	1/2016	NUM
ap-4125	324	2	,	,	PUNCT
ap-4125	324	3	pg	pg	INTJ
ap-4125	324	4	.	.	PROPN
ap-4125	324	5	29	29	NUM
ap-4125	324	6	-	-	SYM
ap-4125	324	7	34	34	NUM
ap-4125	324	8	bucharest	buchar	ADJ
ap-4125	324	9	,	,	PUNCT
ap-4125	324	10	romania	romania	PROPN
ap-4125	325	1	[	[	X
ap-4125	325	2	5	5	NUM
ap-4125	325	3	]	]	PUNCT
ap-4125	325	4	hevko	hevko	PROPN
ap-4125	325	5	r.b	r.b	PROPN
ap-4125	325	6	.	.	PROPN
ap-4125	325	7	,	,	PUNCT
ap-4125	325	8	rozum	rozum	PROPN
ap-4125	325	9	r.i	r.i	PROPN
ap-4125	325	10	.	.	PROPN
ap-4125	325	11	,	,	PUNCT
ap-4125	325	12	klendii	klendii	PROPN
ap-4125	325	13	o.m	o.m	PROPN
ap-4125	325	14	.	.	PUNCT
ap-4125	326	1	(	(	PUNCT
ap-4125	326	2	2016	2016	NUM
ap-4125	326	3	)	)	PUNCT
ap-4125	326	4	–	–	PUNCT
ap-4125	326	5	development	development	NOUN
ap-4125	326	6	of	of	ADP
ap-4125	326	7	design	design	NOUN
ap-4125	326	8	and	and	CCONJ
ap-4125	326	9	investigation	investigation	NOUN
ap-4125	326	10	of	of	ADP
ap-4125	326	11	operation	operation	NOUN
ap-4125	326	12	processes	process	NOUN
ap-4125	326	13	of	of	ADP
ap-4125	326	14	loading	loading	NOUN
ap-4125	326	15	pipes	pipe	NOUN
ap-4125	326	16	of	of	ADP
ap-4125	326	17	screw	screw	ADJ
ap-4125	326	18	conveyors	conveyor	NOUN
ap-4125	326	19	,	,	PUNCT
ap-4125	326	20	inmateh	inmateh	NOUN
ap-4125	326	21	:	:	PUNCT
ap-4125	326	22	agricultural	agricultural	ADJ
ap-4125	326	23	engineering	engineering	NOUN
ap-4125	326	24	,	,	PUNCT
ap-4125	326	25	vol.50	vol.50	NOUN
ap-4125	326	26	,	,	PUNCT
ap-4125	326	27	no.3	no.3	NUM
ap-4125	326	28	,	,	PUNCT
ap-4125	326	29	pg.89	pg.89	PROPN
ap-4125	326	30	-	-	SYM
ap-4125	326	31	96	96	NUM
ap-4125	326	32	,	,	PUNCT
ap-4125	326	33	bucharest	buchar	ADJ
ap-4125	326	34	/	/	SYM
ap-4125	326	35	romania	romania	PROPN
ap-4125	326	36	;	;	PUNCT
ap-4125	326	37	[	[	X
ap-4125	326	38	6	6	NUM
ap-4125	326	39	]	]	PUNCT
ap-4125	326	40	hevko	hevko	PROPN
ap-4125	326	41	r.b	r.b	PROPN
ap-4125	326	42	.	.	PROPN
ap-4125	326	43	,	,	PUNCT
ap-4125	326	44	shynkaryk	shynkaryk	PROPN
ap-4125	326	45	m.i	m.i	PROPN
ap-4125	326	46	.	.	PROPN
ap-4125	326	47	,	,	PUNCT
ap-4125	326	48	vozniuk	vozniuk	NOUN
ap-4125	326	49	s.v	s.v	PROPN
ap-4125	326	50	.	.	PROPN
ap-4125	326	51	(	(	PUNCT
ap-4125	326	52	2012	2012	NUM
ap-4125	326	53	)	)	PUNCT
ap-4125	326	54	–	–	PUNCT
ap-4125	326	55	screw	screw	VERB
ap-4125	326	56	conveyer	conveyer	NOUN
ap-4125	326	57	,	,	PUNCT
ap-4125	326	58	patent	patent	NOUN
ap-4125	326	59	№	№	ADJ
ap-4125	326	60	68113	68113	NUM
ap-4125	326	61	ukraine	ukraine	NOUN
ap-4125	326	62	,	,	PUNCT
ap-4125	326	63	mpk	mpk	NOUN
ap-4125	326	64	b65	b65	PROPN
ap-4125	326	65	g	g	NOUN
ap-4125	326	66	33/14	33/14	NUM
ap-4125	326	67	;	;	PUNCT
ap-4125	326	68	[	[	X
ap-4125	326	69	7	7	X
ap-4125	326	70	]	]	X
ap-4125	326	71	hevko	hevko	PROPN
ap-4125	326	72	r.b	r.b	PROPN
ap-4125	326	73	.	.	PROPN
ap-4125	326	74	,	,	PUNCT
ap-4125	326	75	yazlyuk	yazlyuk	PROPN
ap-4125	326	76	b.o	b.o	PROPN
ap-4125	326	77	.	.	PROPN
ap-4125	326	78	,	,	PUNCT
ap-4125	326	79	liubin	liubin	PROPN
ap-4125	326	80	m.v	m.v	PROPN
ap-4125	326	81	.	.	PROPN
ap-4125	326	82	,	,	PUNCT
ap-4125	326	83	tokarchuk	tokarchuk	PROPN
ap-4125	326	84	o.a	o.a	PROPN
ap-4125	326	85	.	.	PROPN
ap-4125	326	86	,	,	PUNCT
ap-4125	326	87	klendii	klendii	PROPN
ap-4125	326	88	o.m	o.m	PROPN
ap-4125	326	89	.	.	PROPN
ap-4125	326	90	,	,	PUNCT
ap-4125	326	91	pankiv	pankiv	PROPN
ap-4125	326	92	v.r	v.r	PROPN
ap-4125	326	93	.	.	PUNCT
ap-4125	327	1	(	(	PUNCT
ap-4125	327	2	2017	2017	NUM
ap-4125	327	3	)	)	PUNCT
ap-4125	327	4	feasibility	feasibility	NOUN
ap-4125	327	5	study	study	NOUN
ap-4125	327	6	of	of	ADP
ap-4125	327	7	the	the	DET
ap-4125	327	8	process	process	NOUN
ap-4125	327	9	of	of	ADP
ap-4125	327	10	transpotration	transpotration	NOUN
ap-4125	327	11	and	and	CCONJ
ap-4125	327	12	stirring	stirring	NOUN
ap-4125	327	13	of	of	ADP
ap-4125	327	14	mixture	mixture	NOUN
ap-4125	327	15	in	in	ADP
ap-4125	327	16	continuous	continuous	ADJ
ap-4125	327	17	-	-	PUNCT
ap-4125	327	18	flow	flow	NOUN
ap-4125	327	19	conveyers	conveyer	NOUN
ap-4125	327	20	,	,	PUNCT
ap-4125	327	21	inmateh	inmateh	NOUN
ap-4125	327	22	:	:	PUNCT
ap-4125	327	23	agricultural	agricultural	ADJ
ap-4125	327	24	engineering	engineering	NOUN
ap-4125	327	25	,	,	PUNCT
ap-4125	327	26	vol.51	vol.51	PROPN
ap-4125	327	27	,	,	PUNCT
ap-4125	327	28	no.3	no.3	PROPN
ap-4125	327	29	,	,	PUNCT
ap-4125	327	30	p.g	p.g	PROPN
ap-4125	327	31	.	.	PROPN
ap-4125	327	32	49	49	NUM
ap-4125	327	33	-	-	SYM
ap-4125	327	34	58	58	NUM
ap-4125	327	35	,	,	PUNCT
ap-4125	327	36	bucharest	buchar	ADJ
ap-4125	327	37	/	/	SYM
ap-4125	327	38	romania	romania	PROPN
ap-4125	327	39	;	;	PUNCT
ap-4125	328	1	[	[	X
ap-4125	328	2	8	8	NUM
ap-4125	328	3	]	]	X
ap-4125	328	4	hevko	hevko	PROPN
ap-4125	328	5	r.b	r.b	PROPN
ap-4125	328	6	.	.	PROPN
ap-4125	328	7	,	,	PUNCT
ap-4125	328	8	zalutskyi	zalutskyi	NOUN
ap-4125	328	9	s.z	s.z	PROPN
ap-4125	328	10	.	.	PROPN
ap-4125	328	11	,	,	PUNCT
ap-4125	328	12	tkachenko	tkachenko	PROPN
ap-4125	328	13	i.g	i.g	PROPN
ap-4125	328	14	.	.	PROPN
ap-4125	328	15	,	,	PUNCT
ap-4125	328	16	klendiy	klendiy	PROPN
ap-4125	328	17	o.m	o.m	PROPN
ap-4125	328	18	.	.	PUNCT
ap-4125	328	19	(	(	PUNCT
ap-4125	328	20	2015	2015	NUM
ap-4125	328	21	)	)	PUNCT
ap-4125	328	22	–	–	PUNCT
ap-4125	328	23	development	development	NOUN
ap-4125	328	24	and	and	CCONJ
ap-4125	328	25	investigation	investigation	NOUN
ap-4125	328	26	of	of	ADP
ap-4125	328	27	reciprocating	reciprocate	VERB
ap-4125	328	28	screw	screw	VERB
ap-4125	328	29	with	with	ADP
ap-4125	328	30	flexible	flexible	ADJ
ap-4125	328	31	helical	helical	ADJ
ap-4125	328	32	surface	surface	NOUN
ap-4125	328	33	,	,	PUNCT
ap-4125	328	34	inmateh	inmateh	NOUN
ap-4125	328	35	:	:	PUNCT
ap-4125	328	36	agricultural	agricultural	ADJ
ap-4125	328	37	engineering	engineering	NOUN
ap-4125	328	38	,	,	PUNCT
ap-4125	328	39	vol	vol	NOUN
ap-4125	328	40	.	.	PROPN
ap-4125	328	41	46	46	NUM
ap-4125	328	42	,	,	PUNCT
ap-4125	328	43	no.2	no.2	PROPN
ap-4125	328	44	,	,	PUNCT
ap-4125	328	45	pg	pg	NOUN
ap-4125	328	46	.	.	PUNCT
ap-4125	329	1	133	133	NUM
ap-4125	329	2	-	-	SYM
ap-4125	329	3	138	138	NUM
ap-4125	329	4	.	.	PUNCT
ap-4125	330	1	[	[	X
ap-4125	330	2	9	9	NUM
ap-4125	330	3	]	]	X
ap-4125	330	4	klendii	klendii	PROPN
ap-4125	330	5	m.b	m.b	PROPN
ap-4125	330	6	.	.	PROPN
ap-4125	330	7	,	,	PUNCT
ap-4125	330	8	klendii	klendii	PROPN
ap-4125	330	9	o.m	o.m	PROPN
ap-4125	330	10	.	.	PUNCT
ap-4125	331	1	(	(	PUNCT
ap-4125	331	2	2016	2016	NUM
ap-4125	331	3	)	)	PUNCT
ap-4125	331	4	inverrelation	inverrelation	NOUN
ap-4125	331	5	between	between	ADP
ap-4125	331	6	incidence	incidence	ADJ
ap-4125	331	7	ange	ange	NOUN
ap-4125	331	8	and	and	CCONJ
ap-4125	331	9	roll	roll	NOUN
ap-4125	331	10	ange	ange	NOUN
ap-4125	331	11	of	of	ADP
ap-4125	331	12	concave	concave	VERB
ap-4125	331	13	disks	disk	NOUN
ap-4125	331	14	of	of	ADP
ap-4125	331	15	soil	soil	NOUN
ap-4125	331	16	tillage	tillage	NOUN
ap-4125	331	17	implements	implement	NOUN
ap-4125	331	18	,	,	PUNCT
ap-4125	331	19	inmateh	inmateh	NOUN
ap-4125	331	20	:	:	PUNCT
ap-4125	331	21	agricultural	agricultural	ADJ
ap-4125	331	22	engineering	engineering	NOUN
ap-4125	331	23	,	,	PUNCT
ap-4125	331	24	vol.49	vol.49	PROPN
ap-4125	331	25	,	,	PUNCT
ap-4125	331	26	no.2	no.2	PROPN
ap-4125	331	27	,	,	PUNCT
ap-4125	331	28	pp.13	pp.13	NOUN
ap-4125	331	29	-	-	PUNCT
ap-4125	331	30	20	20	NUM
ap-4125	331	31	,	,	PUNCT
ap-4125	331	32	bucharest	buchar	ADJ
ap-4125	331	33	;	;	PUNCT
ap-4125	331	34	[	[	X
ap-4125	331	35	10	10	NUM
ap-4125	331	36	]	]	X
ap-4125	331	37	klendii	klendii	PROPN
ap-4125	331	38	m.b	m.b	PROPN
ap-4125	331	39	.	.	PROPN
ap-4125	331	40	and	and	CCONJ
ap-4125	331	41	pylypaka	pylypaka	PROPN
ap-4125	331	42	s.f	s.f	PROPN
ap-4125	331	43	.	.	PROPN
ap-4125	332	1	(	(	PUNCT
ap-4125	332	2	2016	2016	NUM
ap-4125	332	3	)	)	PUNCT
ap-4125	332	4	analytical	analytical	ADJ
ap-4125	332	5	model	model	NOUN
ap-4125	332	6	of	of	ADP
ap-4125	332	7	arranging	arrange	VERB
ap-4125	332	8	soil	soil	NOUN
ap-4125	332	9	-	-	PUNCT
ap-4125	332	10	tilling	till	VERB
ap-4125	332	11	concave	concave	NOUN
ap-4125	332	12	disks	disk	NOUN
ap-4125	332	13	for	for	ADP
ap-4125	332	14	determination	determination	NOUN
ap-4125	332	15	of	of	ADP
ap-4125	332	16	geometrical	geometrical	ADJ
ap-4125	332	17	and	and	CCONJ
ap-4125	332	18	technical	technical	ADJ
ap-4125	332	19	data	datum	NOUN
ap-4125	332	20	//	//	NUM
ap-4125	332	21	scientific	scientific	ADJ
ap-4125	332	22	bulletin	bulletin	NOUN
ap-4125	332	23	of	of	ADP
ap-4125	332	24	national	national	ADJ
ap-4125	332	25	university	university	PROPN
ap-4125	332	26	of	of	ADP
ap-4125	332	27	life	life	NOUN
ap-4125	332	28	and	and	CCONJ
ap-4125	332	29	environmental	environmental	ADJ
ap-4125	332	30	sciences	science	NOUN
ap-4125	332	31	of	of	ADP
ap-4125	332	32	ukraine	ukraine	PROPN
ap-4125	332	33	.	.	PUNCT
ap-4125	333	1	–	–	PUNCT
ap-4125	333	2	kyiv	kyiv	PROPN
ap-4125	333	3	.	.	PROPN
ap-4125	333	4	,	,	PUNCT
ap-4125	333	5	vol	vol	NOUN
ap-4125	333	6	.	.	PUNCT
ap-4125	334	1	241	241	NUM
ap-4125	334	2	.	.	PUNCT
ap-4125	334	3	–	–	PUNCT
ap-4125	334	4	p.	p.	NOUN
ap-4125	334	5	140	140	NUM
ap-4125	334	6	–	–	PUNCT
ap-4125	334	7	150	150	NUM
ap-4125	334	8	.	.	PUNCT
ap-4125	335	1	[	[	X
ap-4125	335	2	11	11	NUM
ap-4125	335	3	]	]	PUNCT
ap-4125	335	4	pylypaka	pylypaka	PROPN
ap-4125	335	5	s.f	s.f	PROPN
ap-4125	335	6	.	.	PROPN
ap-4125	335	7	,	,	PUNCT
ap-4125	335	8	klendii	klendii	PROPN
ap-4125	335	9	m.b	m.b	PROPN
ap-4125	335	10	.	.	PROPN
ap-4125	335	11	,	,	PUNCT
ap-4125	335	12	klendii	klendii	PROPN
ap-4125	335	13	o.m	o.m	PROPN
ap-4125	335	14	.	.	PUNCT
ap-4125	336	1	(	(	PUNCT
ap-4125	336	2	2017	2017	NUM
ap-4125	336	3	)	)	PUNCT
ap-4125	336	4	particle	particle	NOUN
ap-4125	336	5	motion	motion	NOUN
ap-4125	336	6	over	over	ADP
ap-4125	336	7	the	the	DET
ap-4125	336	8	surface	surface	NOUN
ap-4125	336	9	of	of	ADP
ap-4125	336	10	a	a	DET
ap-4125	336	11	rotary	rotary	ADJ
ap-4125	336	12	vertical	vertical	ADJ
ap-4125	336	13	axis	axis	NOUN
ap-4125	336	14	helicoid	helicoid	NOUN
ap-4125	336	15	,	,	PUNCT
ap-4125	336	16	inmateh	inmateh	NOUN
ap-4125	336	17	:	:	PUNCT
ap-4125	336	18	agricultural	agricultural	ADJ
ap-4125	336	19	engineering	engineering	NOUN
ap-4125	336	20	,	,	PUNCT
ap-4125	336	21	vol.51	vol.51	PROPN
ap-4125	336	22	,	,	PUNCT
ap-4125	336	23	no.3	no.3	VERB
ap-4125	336	24	,	,	PUNCT
ap-4125	336	25	pg	pg	INTJ
ap-4125	336	26	.	.	PROPN
ap-4125	336	27	15	15	NUM
ap-4125	336	28	-	-	SYM
ap-4125	336	29	28	28	NUM
ap-4125	336	30	,	,	PUNCT
ap-4125	336	31	bucharest	buchar	ADJ
ap-4125	336	32	/	/	SYM
ap-4125	336	33	romania	romania	PROPN
ap-4125	336	34	;	;	PUNCT
ap-4125	336	35	[	[	X
ap-4125	336	36	12	12	NUM
ap-4125	336	37	]	]	X
ap-4125	336	38	shvedik	shvedik	ADJ
ap-4125	336	39	m.	m.	NOUN
ap-4125	336	40	(	(	PUNCT
ap-4125	336	41	2014	2014	NUM
ap-4125	336	42	)	)	PUNCT
ap-4125	336	43	analysis	analysis	NOUN
ap-4125	336	44	of	of	ADP
ap-4125	336	45	work	work	NOUN
ap-4125	336	46	process	process	NOUN
ap-4125	336	47	of	of	ADP
ap-4125	336	48	seeding	seed	VERB
ap-4125	336	49	furrows	furrow	NOUN
ap-4125	336	50	embedding	embed	VERB
ap-4125	336	51	by	by	ADP
ap-4125	336	52	a	a	DET
ap-4125	336	53	conical	conical	ADJ
ap-4125	336	54	roller	roller	NOUN
ap-4125	336	55	,	,	PUNCT
ap-4125	336	56	inmateh	inmateh	NOUN
ap-4125	336	57	:	:	PUNCT
ap-4125	336	58	agricultural	agricultural	ADJ
ap-4125	336	59	engineering	engineering	NOUN
ap-4125	336	60	,	,	PUNCT
ap-4125	336	61	vol.44	vol.44	NOUN
ap-4125	336	62	,	,	PUNCT
ap-4125	336	63	no.3	no.3	NOUN
ap-4125	336	64	,	,	PUNCT
ap-4125	336	65	pg.27	pg.27	PROPN
ap-4125	336	66	-	-	X
ap-4125	336	67	32	32	NUM
ap-4125	336	68	,	,	PUNCT
ap-4125	336	69	bucharest	buchar	ADJ
ap-4125	336	70	/	/	SYM
ap-4125	336	71	romania	romania	PROPN
ap-4125	336	72	;	;	PUNCT
ap-4125	336	73	[	[	X
ap-4125	336	74	13	13	NUM
ap-4125	336	75	]	]	X
ap-4125	336	76	sysoev	sysoev	NOUN
ap-4125	336	77	n.i	n.i	PROPN
ap-4125	336	78	.	.	PROPN
ap-4125	336	79	and	and	CCONJ
ap-4125	336	80	pylypaka	pylypaka	PROPN
ap-4125	336	81	s.f	s.f	PROPN
ap-4125	336	82	.	.	PROPN
ap-4125	337	1	(	(	PUNCT
ap-4125	337	2	1949	1949	NUM
ap-4125	337	3	)	)	PUNCT
ap-4125	337	4	theoretical	theoretical	ADJ
ap-4125	337	5	framework	framework	NOUN
ap-4125	337	6	and	and	CCONJ
ap-4125	337	7	calculation	calculation	NOUN
ap-4125	337	8	for	for	ADP
ap-4125	337	9	a	a	DET
ap-4125	337	10	sorter	sorter	NOUN
ap-4125	337	11	“	"	PUNCT
ap-4125	337	12	zmeika	zmeika	X
ap-4125	337	13	”	"	PUNCT
ap-4125	337	14	//	//	NOUN
ap-4125	337	15	selhozmashina	selhozmashina	VERB
ap-4125	338	1	[	[	X
ap-4125	338	2	agricultural	agricultural	ADJ
ap-4125	338	3	machinery	machinery	NOUN
ap-4125	338	4	]	]	PUNCT
ap-4125	338	5	.	.	PUNCT
ap-4125	339	1	№	№	ADJ
ap-4125	339	2	8,p	8,p	NOUN
ap-4125	339	3	.	.	PROPN
ap-4125	339	4	5	5	NUM
ap-4125	339	5	–	–	PUNCT
ap-4125	339	6	8	8	NUM
ap-4125	339	7	.	.	PUNCT
ap-4125	340	1	[	[	X
ap-4125	340	2	14	14	NUM
ap-4125	340	3	]	]	PUNCT
ap-4125	340	4	vasylenko	vasylenko	PROPN
ap-4125	340	5	p.m.	p.m.	NOUN
ap-4125	340	6	(	(	PUNCT
ap-4125	340	7	1960	1960	NUM
ap-4125	340	8	)	)	PUNCT
ap-4125	340	9	theory	theory	NOUN
ap-4125	340	10	of	of	ADP
ap-4125	340	11	particle	particle	NOUN
ap-4125	340	12	motion	motion	NOUN
ap-4125	340	13	on	on	ADP
ap-4125	340	14	rough	rough	ADJ
ap-4125	340	15	surfaces	surface	NOUN
ap-4125	340	16	of	of	ADP
ap-4125	340	17	agricultural	agricultural	ADJ
ap-4125	340	18	machines	machine	NOUN
ap-4125	340	19	,	,	PUNCT
ap-4125	340	20	kyiv	kyiv	PROPN
ap-4125	340	21	.	.	PUNCT
ap-4125	340	22	:	:	PUNCT
ap-4125	340	23	uaskhn	uaskhn	PROPN
ap-4125	340	24	,	,	PUNCT
ap-4125	340	25	1960	1960	NUM
ap-4125	340	26	.	.	PUNCT
ap-4125	341	1	283	283	NUM
ap-4125	341	2	p.	p.	NOUN
ap-4125	342	1	[	[	X
ap-4125	342	2	15	15	NUM
ap-4125	342	3	]	]	X
ap-4125	342	4	vasylkovska	vasylkovska	PROPN
ap-4125	342	5	k.v	k.v	PROPN
ap-4125	342	6	.	.	PROPN
ap-4125	342	7	,	,	PUNCT
ap-4125	342	8	leshchenko	leshchenko	PROPN
ap-4125	342	9	s.m	s.m	PROPN
ap-4125	342	10	.	.	PROPN
ap-4125	342	11	,	,	PUNCT
ap-4125	342	12	vasylkovskyi	vasylkovskyi	PROPN
ap-4125	342	13	o.m	o.m	PROPN
ap-4125	342	14	.	.	PROPN
ap-4125	342	15	,	,	PUNCT
ap-4125	342	16	petrenko	petrenko	PROPN
ap-4125	342	17	d.i	d.i	PROPN
ap-4125	342	18	.	.	PUNCT
ap-4125	342	19	(	(	PUNCT
ap-4125	342	20	2016	2016	NUM
ap-4125	342	21	)	)	PUNCT
ap-4125	342	22	improvement	improvement	NOUN
ap-4125	342	23	of	of	ADP
ap-4125	342	24	equipment	equipment	NOUN
ap-4125	342	25	for	for	ADP
ap-4125	342	26	basic	basic	ADJ
ap-4125	342	27	tillage	tillage	NOUN
ap-4125	342	28	and	and	CCONJ
ap-4125	342	29	sowing	sowing	NOUN
ap-4125	342	30	as	as	ADP
ap-4125	342	31	initial	initial	ADJ
ap-4125	342	32	stage	stage	NOUN
ap-4125	342	33	of	of	ADP
ap-4125	342	34	harvest	harvest	NOUN
ap-4125	342	35	forecasting	forecasting	NOUN
ap-4125	342	36	,	,	PUNCT
ap-4125	342	37	inmateh	inmateh	NOUN
ap-4125	342	38	:	:	PUNCT
ap-4125	342	39	agricultural	agricultural	ADJ
ap-4125	342	40	engineering	engineering	NOUN
ap-4125	342	41	,	,	PUNCT
ap-4125	342	42	vol.50	vol.50	NOUN
ap-4125	342	43	,	,	PUNCT
ap-4125	342	44	no.3	no.3	NUM
ap-4125	342	45	,	,	PUNCT
ap-4125	342	46	pg.13	pg.13	NOUN
ap-4125	342	47	-	-	PUNCT
ap-4125	342	48	20	20	NUM
ap-4125	342	49	,	,	PUNCT
ap-4125	342	50	bucharest	buchar	ADJ
ap-4125	342	51	/	/	SYM
ap-4125	342	52	romania	romania	PROPN
ap-4125	342	53	;	;	PUNCT
ap-4125	342	54	[	[	X
ap-4125	342	55	16	16	NUM
ap-4125	342	56	]	]	PUNCT
ap-4125	342	57	voitiuk	voitiuk	NOUN
ap-4125	342	58	d.h	d.h	PROPN
ap-4125	342	59	.	.	PUNCT
ap-4125	343	1	(	(	PUNCT
ap-4125	343	2	1999	1999	NUM
ap-4125	343	3	)	)	PUNCT
ap-4125	343	4	revisiting	revisit	VERB
ap-4125	343	5	the	the	DET
ap-4125	343	6	determination	determination	NOUN
ap-4125	343	7	of	of	ADP
ap-4125	343	8	motion	motion	NOUN
ap-4125	343	9	trajectories	trajectory	NOUN
ap-4125	343	10	of	of	ADP
ap-4125	343	11	soil	soil	NOUN
ap-4125	343	12	particles	particle	NOUN
ap-4125	343	13	on	on	ADP
ap-4125	343	14	cylindrical	cylindrical	ADJ
ap-4125	343	15	surfaces	surface	NOUN
ap-4125	343	16	of	of	ADP
ap-4125	343	17	operating	operating	NOUN
ap-4125	343	18	element	element	NOUN
ap-4125	343	19	of	of	ADP
ap-4125	343	20	tillage	tillage	NOUN
ap-4125	343	21	machinery	machinery	NOUN
ap-4125	343	22	//	//	NOUN
ap-4125	343	23	collection	collection	NOUN
ap-4125	343	24	of	of	ADP
ap-4125	343	25	scientific	scientific	ADJ
ap-4125	343	26	papers	paper	NOUN
ap-4125	343	27	of	of	ADP
ap-4125	343	28	national	national	ADJ
ap-4125	343	29	agrarian	agrarian	PROPN
ap-4125	343	30	university	university	PROPN
ap-4125	343	31	“	"	PUNCT
ap-4125	343	32	mehanizatsiia	mehanizatsiia	VERB
ap-4125	343	33	silskoho	silskoho	NOUN
ap-4125	343	34	hospodarstva	hospodarstva	NOUN
ap-4125	344	1	[	[	X
ap-4125	344	2	mechanization	mechanization	NOUN
ap-4125	344	3	of	of	ADP
ap-4125	344	4	agricultural	agricultural	ADJ
ap-4125	344	5	production	production	NOUN
ap-4125	344	6	]	]	PUNCT
ap-4125	344	7	”	"	PUNCT
ap-4125	344	8	.	.	PUNCT
ap-4125	345	1	–	–	PUNCT
ap-4125	345	2	vol	vol	NOUN
ap-4125	345	3	5	5	NUM
ap-4125	345	4	.	.	PUNCT
ap-4125	346	1	“	"	PUNCT
ap-4125	346	2	suchasni	suchasni	PROPN
ap-4125	346	3	problemy	problemy	PROPN
ap-4125	346	4	mehanizatsii	mehanizatsii	PROPN
ap-4125	346	5	silskoho	silskoho	NOUN
ap-4125	346	6	hospodarstva	hospodarstva	NOUN
ap-4125	347	1	[	[	X
ap-4125	347	2	current	current	ADJ
ap-4125	347	3	problems	problem	NOUN
ap-4125	347	4	of	of	ADP
ap-4125	347	5	mechanization	mechanization	NOUN
ap-4125	347	6	of	of	ADP
ap-4125	347	7	agriculture	agriculture	NOUN
ap-4125	347	8	]	]	PUNCT
ap-4125	347	9	”	"	PUNCT
ap-4125	347	10	.	.	PUNCT
ap-4125	348	1	kyiv	kyiv	PROPN
ap-4125	348	2	.	.	PUNCT
ap-4125	348	3	:	:	PUNCT
ap-4125	349	1	nau	nau	PROPN
ap-4125	349	2	,	,	PUNCT
ap-4125	349	3	p.	p.	NOUN
ap-4125	349	4	242	242	NUM
ap-4125	349	5	-	-	SYM
ap-4125	349	6	251	251	NUM
ap-4125	349	7	.	.	PUNCT
ap-4125	350	1	[	[	X
ap-4125	350	2	17	17	NUM
ap-4125	350	3	]	]	X
ap-4125	350	4	voitiuk	voitiuk	NOUN
ap-4125	350	5	d.h	d.h	PROPN
ap-4125	350	6	.	.	PUNCT
ap-4125	350	7	(	(	PUNCT
ap-4125	350	8	2002	2002	NUM
ap-4125	350	9	)	)	PUNCT
ap-4125	350	10	determination	determination	NOUN
ap-4125	350	11	of	of	ADP
ap-4125	350	12	motion	motion	NOUN
ap-4125	350	13	trajectory	trajectory	NOUN
ap-4125	350	14	of	of	ADP
ap-4125	350	15	a	a	DET
ap-4125	350	16	material	material	NOUN
ap-4125	350	17	particle	particle	NOUN
ap-4125	350	18	on	on	ADP
ap-4125	350	19	gravitational	gravitational	ADJ
ap-4125	350	20	linear	linear	NOUN
ap-4125	350	21	surfaces	surface	NOUN
ap-4125	350	22	with	with	ADP
ap-4125	350	23	horizontal	horizontal	ADJ
ap-4125	350	24	generators	generator	NOUN
ap-4125	350	25	//	//	PUNCT
ap-4125	350	26	collection	collection	NOUN
ap-4125	350	27	of	of	ADP
ap-4125	350	28	scientific	scientific	ADJ
ap-4125	350	29	papers	paper	NOUN
ap-4125	350	30	of	of	ADP
ap-4125	350	31	national	national	ADJ
ap-4125	350	32	agrarian	agrarian	PROPN
ap-4125	350	33	university	university	PROPN
ap-4125	350	34	“	"	PUNCT
ap-4125	350	35	mehanizatsiia	mehanizatsiia	VERB
ap-4125	350	36	silskoho	silskoho	NOUN
ap-4125	350	37	hospodarstva	hospodarstva	NOUN
ap-4125	351	1	[	[	X
ap-4125	351	2	mechanization	mechanization	NOUN
ap-4125	351	3	of	of	ADP
ap-4125	351	4	agricultural	agricultural	ADJ
ap-4125	351	5	production	production	NOUN
ap-4125	351	6	]	]	PUNCT
ap-4125	351	7	”	"	PUNCT
ap-4125	351	8	.	.	PUNCT
ap-4125	352	1	–	–	PUNCT
ap-4125	352	2	vol.12	vol.12	NOUN
ap-4125	352	3	.	.	PUNCT
ap-4125	352	4	–	–	PUNCT
ap-4125	352	5	kyiv	kyiv	PROPN
ap-4125	352	6	nau	nau	PROPN
ap-4125	352	7	,	,	PUNCT
ap-4125	352	8	p.58	p.58	PROPN
ap-4125	352	9	-	-	X
ap-4125	352	10	69	69	NUM
ap-4125	352	11	.	.	PUNCT
ap-4125	353	1	[	[	X
ap-4125	353	2	18	18	NUM
ap-4125	353	3	]	]	PUNCT
ap-4125	353	4	voitiuk	voitiuk	NOUN
ap-4125	353	5	d.h	d.h	PROPN
ap-4125	353	6	.	.	PROPN
ap-4125	354	1	and	and	CCONJ
ap-4125	354	2	pylypaka	pylypaka	PROPN
ap-4125	354	3	s.f	s.f	PROPN
ap-4125	354	4	.	.	PROPN
ap-4125	355	1	(	(	PUNCT
ap-4125	355	2	2003	2003	NUM
ap-4125	355	3	)	)	PUNCT
ap-4125	355	4	determination	determination	NOUN
ap-4125	355	5	of	of	ADP
ap-4125	355	6	motion	motion	NOUN
ap-4125	355	7	trajectory	trajectory	NOUN
ap-4125	355	8	of	of	ADP
ap-4125	355	9	a	a	DET
ap-4125	355	10	material	material	NOUN
ap-4125	355	11	particle	particle	NOUN
ap-4125	355	12	on	on	ADP
ap-4125	355	13	a	a	DET
ap-4125	355	14	gravitational	gravitational	ADJ
ap-4125	355	15	surface	surface	NOUN
ap-4125	355	16	by	by	ADP
ap-4125	355	17	the	the	DET
ap-4125	355	18	example	example	NOUN
ap-4125	355	19	of	of	ADP
ap-4125	355	20	a	a	DET
ap-4125	355	21	developable	developable	ADJ
ap-4125	355	22	helicoid	helicoid	NOUN
ap-4125	355	23	//	//	X
ap-4125	355	24	mehanizatsiia	mehanizatsiia	NOUN
ap-4125	355	25	i	i	PRON
ap-4125	355	26	enerhetyka	enerhetyka	VERB
ap-4125	355	27	silskoho	silskoho	PROPN
ap-4125	355	28	hospodarstva	hospodarstva	PROPN
ap-4125	356	1	[	[	X
ap-4125	356	2	mechanization	mechanization	NOUN
ap-4125	356	3	and	and	CCONJ
ap-4125	356	4	power	power	NOUN
ap-4125	356	5	engineering	engineering	NOUN
ap-4125	356	6	of	of	ADP
ap-4125	356	7	agriculture	agriculture	NOUN
ap-4125	356	8	]	]	PUNCT
ap-4125	356	9	.	.	PUNCT
ap-4125	357	1	iv	iv	X
ap-4125	357	2	international	international	ADJ
ap-4125	357	3	scientific	scientific	ADJ
ap-4125	357	4	and	and	CCONJ
ap-4125	357	5	technical	technical	ADJ
ap-4125	357	6	conference	conference	PROPN
ap-4125	357	7	motrol-2003	motrol-2003	NOUN
ap-4125	357	8	.	.	PROPN
ap-4125	357	9	–	–	PUNCT
ap-4125	357	10	kyiv	kyiv	PROPN
ap-4125	357	11	nau	nau	PROPN
ap-4125	357	12	,	,	PUNCT
ap-4125	357	13	vol	vol	NOUN
ap-4125	357	14	6	6	NUM
ap-4125	357	15	.	.	PUNCT
ap-4125	357	16	–	–	PUNCT
ap-4125	358	1	p.	p.	NOUN
ap-4125	358	2	113	113	NUM
ap-4125	358	3	-	-	SYM
ap-4125	358	4	126	126	NUM
ap-4125	358	5	.	.	PUNCT
ap-4125	359	1	[	[	X
ap-4125	359	2	19	19	NUM
ap-4125	359	3	]	]	X
ap-4125	359	4	voitiuk	voitiuk	NOUN
ap-4125	359	5	d.h	d.h	PROPN
ap-4125	359	6	.	.	PROPN
ap-4125	360	1	and	and	CCONJ
ap-4125	360	2	pylypaka	pylypaka	PROPN
ap-4125	360	3	s.f	s.f	PROPN
ap-4125	360	4	.	.	PROPN
ap-4125	361	1	(	(	PUNCT
ap-4125	361	2	2003	2003	NUM
ap-4125	361	3	)	)	PUNCT
ap-4125	361	4	peculiarities	peculiarity	NOUN
ap-4125	361	5	of	of	ADP
ap-4125	361	6	material	material	NOUN
ap-4125	361	7	particle	particle	NOUN
ap-4125	361	8	motion	motion	NOUN
ap-4125	361	9	on	on	ADP
ap-4125	361	10	gravitational	gravitational	ADJ
ap-4125	361	11	linear	linear	NOUN
ap-4125	361	12	surfaces	surface	NOUN
ap-4125	361	13	//	//	NUM
ap-4125	361	14	bulletin	bulletin	NOUN
ap-4125	361	15	of	of	ADP
ap-4125	361	16	kharvik	kharvik	PROPN
ap-4125	361	17	state	state	PROPN
ap-4125	361	18	technical	technical	PROPN
ap-4125	361	19	university	university	PROPN
ap-4125	361	20	of	of	ADP
ap-4125	361	21	agriculture	agriculture	PROPN
ap-4125	361	22	.	.	PUNCT
ap-4125	362	1	–	–	PUNCT
ap-4125	362	2	vol	vol	NOUN
ap-4125	362	3	.	.	PUNCT
ap-4125	362	4	21	21	NUM
ap-4125	362	5	.	.	PUNCT
ap-4125	363	1	“	"	PUNCT
ap-4125	363	2	mehanizatsiia	mehanizatsiia	VERB
ap-4125	363	3	silskoho	silskoho	NOUN
ap-4125	363	4	hospodarstva	hospodarstva	NOUN
ap-4125	364	1	[	[	X
ap-4125	364	2	mechanization	mechanization	NOUN
ap-4125	364	3	of	of	ADP
ap-4125	364	4	agriculture	agriculture	NOUN
ap-4125	364	5	]	]	PUNCT
ap-4125	364	6	”	"	PUNCT
ap-4125	364	7	.	.	PUNCT
ap-4125	365	1	–	–	PUNCT
ap-4125	365	2	kharkiv	kharkiv	NOUN
ap-4125	365	3	,	,	PUNCT
ap-4125	365	4	p.	p.	NOUN
ap-4125	365	5	75	75	NUM
ap-4125	365	6	-	-	SYM
ap-4125	365	7	88	88	NUM
ap-4125	365	8	.	.	PUNCT
ap-4125	366	1	[	[	X
ap-4125	366	2	20	20	NUM
ap-4125	366	3	]	]	X
ap-4125	366	4	zaika	zaika	X
ap-4125	366	5	p.m.	p.m.	NOUN
ap-4125	366	6	(	(	PUNCT
ap-4125	366	7	1992	1992	NUM
ap-4125	366	8	)	)	PUNCT
ap-4125	366	9	selected	select	VERB
ap-4125	366	10	problems	problem	NOUN
ap-4125	366	11	of	of	ADP
ap-4125	366	12	agricultural	agricultural	ADJ
ap-4125	366	13	mechanics	mechanic	NOUN
ap-4125	366	14	,	,	PUNCT
ap-4125	366	15	kyiv	kyiv	ADJ
ap-4125	366	16	:	:	PUNCT
ap-4125	366	17	uskha	uskha	ADJ
ap-4125	366	18	,	,	PUNCT
ap-4125	366	19	507	507	NUM
ap-4125	366	20	p.	p.	NOUN
ap-4125	366	21	208	208	NUM
ap-4125	366	22	acta	acta	PROPN
ap-4125	366	23	polytechnica	polytechnica	PROPN
ap-4125	366	24	58(3):201–208	58(3):201–208	NOUN
ap-4125	366	25	,	,	PUNCT
ap-4125	366	26	2018	2018	NUM
ap-4125	366	27	1	1	NUM
ap-4125	366	28	introduction	introduction	NOUN
ap-4125	366	29	2	2	NUM
ap-4125	366	30	material	material	NOUN
ap-4125	366	31	and	and	CCONJ
ap-4125	366	32	method	method	VERB
ap-4125	366	33	3	3	NUM
ap-4125	366	34	results	result	VERB
ap-4125	366	35	4	4	NUM
ap-4125	366	36	conclusion	conclusion	NOUN
ap-4125	366	37	references	reference	NOUN