1. A man pulls himself up the 15 incline by the method shown. If the combined mass of the man and cart is 100 kg, determine the acceleration of the

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Lynne Madison Lloyd
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3 1. n pulls hiself up the 15 incline b the ethod shown. If the cobined ss of the n nd ct is 100 g deteine the cceletion of the ct if the n eets pull of 50 on the ope. eglect ll fiction nd the ss of the ope pulles nd wheels.(3/4)

4 totl = 100 g deteine the cceletion of the ct if the n eets pull of 50 on the ope sin / s W W=g=9.81 (100)=981

5 . 60-g won holds 9-g pcge s she stnds within n eleto which biefl cceletes upwd t te of g/4. Deteine the foce R which the eleto floo eets on he feet nd the lifting foce which she eets on the pcge duing the cceletion intel. If the eleto suppot cbles suddenl nd copletel fil wht lues would R nd cquie? (3/6)

6 D of won + pcge w = 60-g p = 9-g eleto cceletes upwd t te of g/4. Deteine the foce R which the eleto floo eets on won s feet nd the lifting foce which she eets on the pcge duing the cceletion intel. If the eleto suppot cbles suddenl nd copletel fil wht lues would R nd cquie? W w+p =(60+9)(9.81)= R g 4 W w+p g 4 R R

7 D of pcge W p =(9)(9.81)=88.9 g 4 w = 60-g p = 9-g eleto cceletes upwd t te of g/4. Deteine the foce R which the eleto floo eets on won s feet nd the lifting foce which she eets on the pcge duing the cceletion intel. If the eleto suppot cbles suddenl nd copletel fil wht lues would R nd cquie? g If the eleto cbles fil: g R (9.81) W w+p = g 9.81 / s R 0 siill 0 R

8 3. he sste is elesed fo est with the cble tut. o the fiction coefficients s = 0.5 nd = 0.0 clculte the cceletion of ech bod nd the tension in the cble. eglect the sll ss nd fiction of the pulles.(3/9) s 60 g 30 0 g

9 W =0(9.81)=196. checing otion b ssuing sttic equilibiu Cble ength 0 0 f sste elesed fo est s = 0.5 nd = 0.0 clcute the cceletion of ech bod nd the tension in the cble. W= g (9.81) sin 30 f f f f ( pticles 0 0.5(509.74) s f e in s otion) 30 0 g cos g 60(9.81) cos 30 Pulle 1 0 ( 0) 0 g

10 sste elesed fo est s = 0.5 nd = 0.0. clcute the cceletion of ech bod nd the tension in the cble otion 60(9.81)sin f f 0.0(509.74) g sin / s W= g 60 otion f 0.75 / s W =0(9.81)= g s (-) g

11 4. he be nd ttched hoisting echnis he cobined ss of 100 g with cente of ss t G. If the initil cceletion of point P on the hoisting cble is 6 /s clculte the coesponding ection t the suppot.(3/18)

12 cble length constnts lod 3/ s ( up) P 6/ s lod 3 =100 g if initil cceletion of point P on hoisting cble is 6 /s clculte coesponding ection t suppot / s ( up) (3) W (9.81)=4905 be M (9.81)(.4) (3) 30 (4.8) 30 (5.1) o

13 5. Sll objects e delieed to - inclined chute b coneo belt which oes t speed 1 = 0.4 /s. If the coneo belt hs speed = 0.9 /s nd the objects e delieed to this belt with no slipping clculte the coefficient of fiction between the objects nd the chute.(3/3)

14 30 1 =0.4 /s =0.9 /s clculte the coefficient of fiction between the objects nd the chute W=g f g cos30 0 g cos30 s s / s gsin g sin 30 g cos30 g sin g cos30 f f ()

15 6. he chin with ss pe unit length is pulled long hoizontl sufce consisting of ough section b the constnt foce P. If the chin is initill t est on the sufce with = 0 nd if the coefficient of inetic fiction between the chin nd the ough sufce is deteine the elocit of the chin when =. ssue tht the chin eins tut nd thus oes s unit thoughout the otion nd the foce P is gete thn g in ode to initite otion. (3/31)

16 g(-) g = g(-) 1 = g f = g(-) g P g P g g P g g P d g g P d d d g 0 0 g g f f g P g P P g ) ( ) ( ) ( ss pe unit length chin initill t est on the sooth sufce with = 0 deteine the elocit of the chin when =.

17 7. he slides nd e connected b light igid b of length l = 0.5 nd oe with negligible fiction in the slots both of which lie in hoizontl plne. o the position whee = 0.4 the elocit of is = 0.9 /s to the ight. Deteine the cceletion of ech slide nd the foce in the b t this instnt. (3/3)

18 l = 0.5 = 0.4 = 0.9 /s deteine cceletion of ech slide nd the foce in the b +q + q P 0 sin cos36.87 / -q /q q / q q - sin cos

19 Kinetic eltionship l = 0.5 = 0.4 = 0.9 /s deteine cceletion of ech slide nd the foce in the b / cos53.13e sin 53.13eq 0.9cos36.87e / / eq 0.7e 0.54eq cos53.13e sin 53.13eq 0.7e 0.54eq / eq cos q sin / / q / q 1. / s d / s + 1. /q / -q q +q / / 0.3 q sin 36.87e 1.5/ s q - q

20 Kinetic eltionship cos (1.33 / / q 0.5(3) 4.5 / s cos53.13e sin 53.13eq cos53.13e sin 53.13e cos53.13 cos (cos 36.87) / s ) l = 0.5 = 0.4 = 0.9 /s deteine cceletion of ech slide nd the foce in the b q + -q / s /q / / q q? ( q unnown) q cos36.87e sin 36.87e cos36.87e sin 36.87e 4.5e q +q / 0.3 q36.87 q q - q / q e q

21 ltentie solution = 0.4 = 0.9 /s length of cble / s / s (0.9)

22 8. he 1.8 g coll is elesed fo est ginst the light elstic sping which hs stiffness of 1750 / nd hs been copessed distnce of 150. Deteine the cceletion of the coll s function of the eticl displceent of the coll esued in etes fo the point of elese. ind the elocit of the coll when = iction is negligible. (3/34)

displceent of the coll. ind elocit of the coll when = 0.

23 W=g =0 =1.8 g 0 =0 =1750 / cop=150 deteine cceletion of the coll s function of the eticl displceent of the coll. ind elocit of the coll when = unstetched position sping sping ( 1) sping 1750 (0.15 g ) 1750 (0.15 ) 1.8(9.81) d d t d ( ) d / s

24 9. he sste is elesed fo est in the position shown. Clculte the tension in the cod nd the cceletion of the 30-g bloc. he sll pulle ttched to the bloc hs negligible ss nd fiction. (3/45)

25 sste elesed fo est clculte tension in the cod nd cceletion W = g f otion (9.81) g f f

26 W = g cble length l b ll ll b sste elesed fo est clculte tension in the cod nd cceletion otion ll l l g 15(9.81) b= constnt ll since the sste is elesed fo est l 0

27 sste elesed fo est clculte tension in the cod nd cceletion ll l l l b l / s / s

B 20 kg. 60 kg A. m s, m k

B 20 kg. 60 kg A. m s, m k 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 W