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3 1. he sste is elesed o est with the cble tut. o the iction coeicients s =.5 nd =. clculte the cceletion o ech bod nd the tension in the cble. eglect the sll ss nd iction o the pulles.(3/9) s 6 g 3 g
4 W =(9.81)=196. checing otion b ssuing sttic equilibiu Cble ength sste elesed o est s =.5 nd =. clcute the cceletion o ech bod nd the tension in the cble. W= g (9.81) sin 3 ( pticles.5(59.74) s e in s otion) 3 g cos g 6(9.81) cos 3 Pulle 1 ( ) g
5 sste elesed o est s =.5 nd =.. clcute the cceletion o ech bod nd the tension in the cble otion 6(9.81)sin (59.74) g sin / s W= g 6 otion.75 / s W =(9.81)= g s (-) g
6 . he be nd ttched hoisting echnis he cobined ss o 1 g with cente o ss t G. I the initil cceletion o point P on the hoisting cble is 6 /s clculte the coesponding ection t the suppot.(3/18)
7 cble length constnts 6 lod 3 / s ( up) P 6 / s lod 3 =1 g i initil cceletion o point P on hoisting cble is 6 /s clculte coesponding ection t suppot / s ( up) 495 5(3) W (9.81)=495 be M + 1 (9.81)(.4) (3) 3 (4.8) 3 (5.1) o 19.99
8 3. Sll objects e delieed to - inclined chute b coneo belt which oes t speed 1 =.4 /s. I the coneo belt hs speed =.9 /s nd the objects e delieed to this belt with no slipping clculte the coeicient o iction between the objects nd the chute.(3/3)
9 3 1 =.4 /s =.9 /s clculte the coeicient o iction between the objects nd the chute W=g g cos3 g cos3 s s.163 / s gsin 3.4 g sin 3 g cos3 g sin g cos3 ()
10 4. he chin with ss pe unit length is pulled long hoizontl suce consisting o ough section b the constnt oce P. I the chin is initill t est on the suce with = nd i the coeicient o inetic iction between the chin nd the ough suce is deteine the elocit o the chin when =. ssue tht the chin eins tut nd thus oes s unit thoughout the otion nd the oce P is gete thn g in ode to initite otion. (3/31)
11 ss pe unit chin initill t est on the sooth suce with = deteine the elocit o the chin when =. g(-) g = g(-) 1 = g = g(-) g P g P g g P g g P d g g P d d d g g g g P g P P g ) ( ) ( ) (
12 5. he slides nd e connected b light igid b o length l =.5 nd oe with negligible iction in the slots both o which lie in hoizontl plne. o the position whee =.4 the elocit o is =.9 /s to the ight. Deteine the cceletion o ech slide nd the oce in the b t this instnt. (3/3)
13 l =.5 =.4 =.9 /s deteine cceletion o ech slide nd the oce in the b -q +.3 P q36.87 sin cos36.87 /q / +q q / q q - sin cos
14 l =.5 =.4 =.9 /s deteine cceletion o ech slide nd the oce in the b Kinetic eltionship / cos53.13e sin 53.13eq.9 cos36.87e.9sin 36.87e / / eq.7e.54eq cos53.13e sin 53.13eq.7e.54eq / eq cos53.13e.7 q sin / / q q / / s d / s + /q / 1. q -q / / 1.5 / s.3.4 q.5 +q q36.87 q -
15 Kinetic eltionship cos ( (cos 36.87) 1.37 cos / s / ) cos l =.5 =.4 =.9 /s deteine cceletion o ech slide nd the oce in the b / q.5(3) 4.5 / s / q q q? ( q unnown) cos53.13e sin 53.13eq cos36.87e sin 36.87eq cos53.13e sin 53.13e cos36.87e sin 36.87e 4.5e e q + / +q / s /q q -q / q.3 q q / q - q
16 6. he 1.8 g coll is elesed o est ginst the light elstic sping which hs stiness o 175 / nd hs been copessed distnce o 15. Deteine the cceletion o the coll s unction o the eticl displceent o the coll esued in etes o the point o elese. ind the elocit o the coll when =.15. iction is negligible. (3/34)
17 W=g = =1.8 g = =175 / cop=15 deteine cceletion o the coll s unction o the eticl displceent o the coll. ind elocit o the coll when =.15. unstetched position sping sping ( 1) sping 175 (.15 g ) 175 (.15 ) 1.8(9.81) d d 136. t d ( ) d / s
18 7. he sste is elesed o est in the position shown. Clculte the tension in the cod nd the cceletion o the 3-g bloc. he sll pulle ttched to the bloc hs negligible ss nd iction. (3/45)
19 sste elesed o est clculte tension in the cod nd cceletion W = g otion (9.81) g
20 W = g cble length l b ll ll b sste elesed o est clculte tension in the cod nd cceletion otion ll l l g 15(9.81) b= constnt ll since the sste is elesed o est l
21 sste elesed o est clculte tension in the cod nd cceletion ll l l l / s / s
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