A string passes over a fixed pulley. Two boys P and Q of the same mass hang at the same height at each end. Both start to climb upwards at the same time to reach the pulley. The velocity of P relative

Question

A string passes over a fixed pulley. Two boys P and Q of the same mass hang at the same height at each end. Both start to climb upwards at the same time to reach the pulley. The velocity of P relative to the string is v and that of Q is 3v, then the time taken by P to reach the pulley is equal to

TestHub · Accepted Answer

The string tension is the same on both sides and both boys have the same mass, so both have the same upward acceleration relative to the ground; the string simply shifts between them. Starting at the same height, they reach the pulley together - the time taken by P equals the time taken by Q.

Ans. (C)

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