A stationary pulley carries a rope whose one end supports a ladder with a man and the other end the counterweight of mass M. The man of mass m climbs up a distance `I^'` with respect to the ladder and then stops. Neglecting the mass of the rope and the friction in the pulley axle, find the displacement I of the centre of inertia of this system.

A rope thrown over a pulley has a on one of its ends and a counterbalancing mass M on its other end. The man whose mass is m , climbs upwards by vec/_\r relative to the ladder and then stops. Ignoring masses of the pulley and the rope, as well as the friction the pulley axis, find the displacement of the centre of mass of this system.

A rope thrown over a pulley has a ladder with a man of mass m on one of its ends and a counter balancing mass M on its other end. The man climbs with a velocity v_r relative to ladder. Ignoring the masses of the pulley and the rope as well as the friction on the pulley axis, the velocity of the centre of mass of this system is:

A rope thrown over a pulley has a ladder with a man of mass m on one of its ends and a counter balancing mass M on its other end. The man climbs with a velocity v_r relative to ladder. Ignoring the masses of the pulley and the rope as well as the friction on the pulley axis, the velocity of the centre of mass of this system is:

Two ladders are hanging from ands of a light rope passing over a light and smooth pulley. A monkey of mass 2m hangs near the bottom of one ladder whose mass is M-2m. Another monkey of mass m hangs near the bottom of the other ladder whose mass is M-m. The monkey of mass 2m moves up a distance l with respect to the ladder. The monkey of mass m moves up a distance l/2 with respect to the ladder. The displacement of centre of mass of the system is (kml)/(4M) . Find the value of k.

A pulley fixed to the ceiling carries a thread with bodies of masses m_1 and m_2 attached to its ends. The masses of the pulley and the thread are negligible, friction is absent. Find the acceleration w_C of the centre of inertia of this system.