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Q.

A painter of mass M stands on a platform of mass m and pulls himself up by two ropes which hang over pulley as shown in figure. He pulls each rope with force F and moves upward with a uniform acceleration a. Find a, neglecting the fact that no one could do this for long time.

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a

4F+(2M+m)gM+2m

b

4F+(M+m)gM+2m

c

4F−(M+m)gM+m

d

4F−(M+m)g2M+m

answer is C.

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Detailed Solution

From figure,2F+N−Mg=Ma2F−mg−N=ma4F−(M+m)g=(M+m)aa=4F−(M+m)gM+m
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