1. The problem statement, all variables and given/known data person and a box of equal masses are hanging off of the same pulley. The rope is considered massless. The person and the box are separate from each other. (The person is NOT standing on the box.) 2. Relevant equations How far does the box move if the person starts climbing and moves a distance x relative to the rope. 3. The attempt at a solution In an attempt to get a solution I tried to analogize it to a person and a block on a frictionless plane with a rope between them. With no outside forces the CG would have to remain constant. So if the person pulled through 10 feet of rope the movement, relative to the ground, would be split evenly between the two. However on a frictionless plane they would keep going until they hit each other. In the pulley system would they just stop when the person stopped climbing?