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 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.

Find the acceleration of the block of mass m in the arrangement shown in the following figures. The masses of the pulleys and the threads, as well as the friction are assumed to be negligible.

A pulley fixed to the ceiling carries a thread with bodies of masses m_(1) and m_(2) attached at its ends. The masses of the pulley and thread are negligible, friction is absent. Find the acceleration of the centre of mass (a_("cm")) of this system.

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.

A man of mass m is suspended in air by holding the rope of a ballon of mass M . As the man climbs up the rope, the ballon

A balloon of mass M is stationary in air. It has a ladder on which a man of mass m is standing. If the man starts climbing up the ladder with a velocity of relative to ladder, the velocity of balloon is

A pulley fixed to the ceiling of an elevator car carries a thread whose ends are attached to the loads of masses 3m and m . The car starts gong up with acceleration g//s . Assuming the masses of the pulley and the thread, as well as friction, to be negligible, find the force exerted by the pulley on the ceiling of car.