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A stationary light, smooth pulley can ro...

A stationary light, smooth pulley can rotate without friction about a fixed horizontal axis. A light rope passes over the pulley. One end of the rope supports a ladder with man and the other end supports a counterweight of mass `M`. Mass of the man is `m`. initially, the centre of mass of the counterweight is at a height `h` from that of man as shown in Fig.
If the man starts to climb up the ladder slowly, calculate work done by him to reach his centre of mass in level with that of the counterweight.

A

Distance moved by counter weight relative to ground is `(mh)/(2(M-m))`

B

Distance moved by counter weight relative to ground is `(mh)/((M-m))`

C

Distance moved by man relative to lader is `(mh)/((M-m))`

D

Distance moved by man relative to ladder is `(Mh)/((M-m))`

Text Solution

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The correct Answer is:
A, D
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