A Man, A Ladder And A Pulley

A pulley is fixed to a roof, it holds a ladder of some mass on which a man of mass $$40\text{ kg}$$ is standing. The other end of the rope carries a counter weight of mass $$60\text{ kg}$$ so that the system is at equilibrium. Now the man climbs up $$15\text{ m}$$ with respect to the ladder and stops.

Find the displacement in the center of mass of the system.

Details and Assumptions:

• The pulley is frictionless and the rope is light.
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