PHY053 Sue C 03 E Soluon. The foce G on o G G The onl cobnon h e '/ = doubln.. The peed of lh le 8fulon c 86,8 le 60 n 60n h 4h d 4d fonh.80 fulon/ fonh 3. The dnce eled fo he ene p,, 36 (75n h 45 The dnce coeed dun he f p,, 30 (30n h h 60n h 60n
5 The dnce fo he econd p 45 5 30 The duon of he econd p 75n 30n 45n The ee eloc fo he econd p, 30 60n 45n h 40ph 4. o he f 0, he dnce 0. Th e, Two econd le, 0 (0 (5 ( ( (0 48 0 48 68 0 68 ( ( (
4 (6 Thee e wo equon nd wo unknown, Sole he f equon fo, 4 Subue no he econd equon, 5. The cceleon (5 (6 (5.4 5 4 (6 (6.4 5 4.4. 4 4.4 0. 0.4 0..0 0 ( ( ( (00 (0 / The ol dnce = 00 + 300 = 400. The fnl eloc 3
4 40/ (400 ( / 0 f f f 6. The e ke fo he f one o h he we.0 9.8 / 9.6 ( ( 0 ( The econd one u h he we n =.0.0 =.0. 4.7 / ( 9.8 / (.0 9.6 ( ( 7. The un look lke, To dd eco we ke coponen. npecon fo 45 o C
0 0d o, n45 (30dn 45. d co45 (30dn 45. d The coponen of C C C 0 (. d. d 0.0 d. d 4. d The nude of C C C C (. d (4. d 46.3 d 8. The pcue look lke 35 o C The eco elon C C The coponen of nd C e co35 (30N co35 4.6 N n35 (30Nn35 7. N C C C co0 (75N co0 75N C n0 (75Nn0 0 The coponen of e 5
C C 75N 4.6 N 50.4 N 0 7. N 7. N The nude of (50.4 N ( 7. N 53N The nle 7. N cn cn 9 50.4 N 9. The fue RS WS RW The eloc of he owbo ele o he hoe RS 50 4. n n 60 0.99/ The eco equon RS RW WS o he d WS 0.6/ cn cn 3 0.99/ 0. The e ke fo he bll o h he ound RS 0 ( ( ( 78.4 9.8/ 4.0 6
7 The bll fll 80 fo he boo of he buldn 0/ 4 80 0 ( Snce he bll hown hozonll, he bll n he fo he e oun of e edle of he nude of he how. So n = 4.0. The new ne 60, 40/ 4 60. The ne equon R n The e of flh equon n Sole he e of flh equon fo nd ubue no he ne equon, n n The ne equon becoe, R co n 4n ( co n n n
( R n ( co R ( n R co n ( cn R 9.8 / (5.85 cn (40 35 Ue he e of flh equon o fnd n (9.8/ (5.85 n n35 50/ Snce he feld leel, he bll h he ound wh he e eloc. Ee oluon: The olf bll el 40 n he -decon. I ke 5.85 o el h dnce. The -coponen of he eloc conn fo pojecle nd 40 5.85 4.0/ The bll eche hhe pon h = f / = (5.85 / =.93. The -coponen of he nl eloc f 0 h h (9.8/ (.93 8.7 / The nl eloc (4.0 / (8.7 / 50.0/ The fnl eloc equl he nl eloc nce he oon ec.. The weh he Eh pulln down on he block. The necon pne he block pulln up on he Eh. 8
3. The fee bod d Un Newon econd lw, 49000N (000k(9.8/ 000k 39/ 4. The fee bod d N e f Un Newon econd lw f e co 0 f e co N e n 0 N e n 9
The coeffcen of fcon defned n Subun fo f nd N, e 5. The fee bod d e co e f N co ( n f N e co n (0.3(4 k(9.8 / co5 (0.3n 5.4 N e e n n N 30 o 30 o Un Newon econd lw, n n (9.8 / n30 4,9 / Snce he cceleon ndependen of he, o e ll he ohe knec ble. The fnl eloc ll 0 / when he of he olle coe doubled. 6. The fee bod d fo 0
N T 37 o 37 o Un Newon econd lw, T n o, T n un Newon econd lw, T Snce block nd e conneced he oe oehe. Suppoe we cll he cceleon. If oe up he nclne, wll decend. Th e, nd The wo equon fo Newon econd lw becoe T n T n
nd T T ( T We he wo equon wh wo unknown (T nd ddn he wo equon cncel he T, T n T ( n n ( ( n ( (5k 0k n37(9.8 / 0.67/ (5k 0k The cceleon poe f cend. Snce he cceleon nee, decend wh n cceleon of 0.67 /. 7. The nul eloc of he wheel The nul dplceen 8. d would be e d n 36 n e 60 d 3.77 ( 3.77d/(45 70d N
Thee e wo foce cn on he we n he bucke, weh nd he nol foce of he bucke puhn on he we. he op of he ccle, boh foce pon down. When we ppl Newon econd lw, N (Snce he dl decon downwd, foce downwd e poe. When he we ju bel n he bucke, he bucke no ell puhn on he we. Th en N = 0, N 0 9. The open peed of he Ee ((9.8/ 3./ d n 3.490 30n 60 3 d/ The nul dplceen whle ccelee ( f (3.490 d/ 0(0 3.490 3 0. The ne cceleon he u of he dl nd nenl cceleon, ne Snce he dl nd nenl decon e pependcul o ech ohe, d ne o he du nd he nul peed, he dl cceleon cn be found, ( d/ (0.5.0 / Snce he ne cceleon lo known, he nenl cceleon cn be deened, 3
4.5/ (.0 /.6 / ( ne ne ne The nenl cceleon eled o he nul cceleon, 5.0 d/ 0.5.5/