A light rope passes over a light, frictionless pulley. One end is fastened to a

Question

A light rope passes over a light, frictionless pulley. One end is fastened to a bunch of bananas of mass M, and a monkey of mass M clings to the other end. The monkey climbs the rope in an attempt to reach the bananas. (a) Treating the system as consisting of the monkey, bananas, rope, and pulley, evaluate the net torque about the pulley axis. (b) Using the results of (a), determine the total angular momentum about the pulley axis and describe the motion of the system. Will the monkey reach the bananas?

Explanation / Answer

(a) the net torque about the pulley axis will be S t = M g R - M g R = 0 (b) in this part S t = dL / dt as S t = 0 L = constant since the total angular momentum of the system is zerothe monkey and the bananas move upward with the same speed at any instant and themonkey will not reach the bananas

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