A Man, A Ladder And A Pulley

Classical Mechanics Level 3

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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