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