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...

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 (as shown). 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,

find the net torque on the system about the pulley axis.

(b) Using the result of part (a), determine the total angular momentum about

the pulley axis and describe the motion of the system. (c) Will the monkey

reach the bananas?