Two boxes A and B of masses m and M interconnected by an ideal rope and ideal pulleys are held at rest as shown. When it is released, box B accelerates downwards. Find velocities of box A and B as function of time t after system has been released.

Two blocks of masses 2m and m are connected by a light string going over a pulley of mass 2m and radius R as shown in the figure. The system is released from rest. Find the angular momentum of system when the mass 2m has descended through a height h . Assume no slipping.

Two blocks A and B of masses m and M are attached with ideal string and pulley, and placed on smooth horizontal surface. Force F is applied horizontally as shown in figure. Find the ratio of the acceleration of A to that of B.

Two blocks A and B of masses m and M are attached with ideal string and pulley, and placed on smooth horizontal surface. Force F is applied horizontally as shown in figure. Find the ratio of the acceleration of A to that of B.

Two blocks of mass M and 2M are connected to the two ends of a light, inextensible string passing over an ideal pulley as shown in figure. The system is released from rest. (a) One second after the system is released, a particle of mass M hits the block of mass M and sticks to it. The particle hits the block with a speed of 10 m/s while travelling downward. Find the total distance travelled by block of mass 2M after it is released. (b) One second after the system is released, a particle of mass 2M hits the block of mass M and sticks to it. The particle hits the block with a speed of 10 m/s while travelling in upward direction. Find distance travelled by the block of mass 2M after it is released to the time it comes to rest for the first time (g = 10 m//s)^(2)

For the arrangement shown in figure when the system is released, find the acceleration of wedge. Pulley and string are ideal and friction is absent.

Two blocks A and B of equal masses are attached to a string passing over a smooth pulley fixed to a wedge as shown in figure. Find the magnitude of acceleration of centre of mass of the two blocks when they are released from rest. Neglect friction.

Two blocks A and B of equal masses are attached to a string passing over a smooth pulley fixed to a wedge as shown in figure. Find the magnitude of acceleration of centre of mass of the two blocks when they are released from rest. Neglect friction.

Two blocks A and B of equal masses are attached to a string passing over a smooth pulley fixed to a wedge as shown in figure. Find the magnitude of acceleration of centre of mass of the two blocks when they are released from rest. Neglect friction.