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?