Relative Velocity + rotation

1. Nov 24, 2008

chronorec

1. The problem statement, all variables and given/known data
A massless rope is strung over a cylindrical pulley with mass M and radius R. A monkey holds onto one end of the rope. A mirror, having the same weight as the monkey, is attached to the other end of the rope. They are initially at rest with respect to each other and the ground. Assuming no slipping between the pulley and the rope, determine the relative velocity beetween the monkey and the mirror if
(a)the monkey climbs up the rope with speed v relative to the ground,
(b)the monkey climbs down the rope with speed v relative to the ground

2. Relevant equations
Moment of inertia of pulley=0.5MR2
Equations of kinematics for rotational motion under constant angular acceleration.

3. The attempt at a solution
This is one of my exam questions which I have no idea how to do, how does the monkey moving up and down the rope vary the force which is exerted and hence the torque?