A person holds the rope (assumed massless) that passes over a pulley. The person is balanced by a block of mass m hanging at the other end of the rope. Initially both the person and block are motionle

Question

A person holds the rope (assumed massless) that passes over a pulley. The person is balanced by a block of mass m hanging at the other end of the rope. Initially both the person and block are motionless. The person then starts climbing the rope by pulling on it with a constant force in order to reach the block. The person moves a distance L relative to the rope. Friction is absent between rope \& pulley. By how much distance does the block move ?

TestHub · Accepted Answer

a m ​ = a B ​ a m r ​ = a m ​ − a r ​ a 0 ​ = 2 a m r ​ ​ L 0 ​ = 2 L m r ​ ​ = 2 L ​ ​ a B ​ = a r ​ = a 0 ​ a m r ​ = 2 a 0 ​ ↓ a r ​ = a 0 ​ ​

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