The system shown in figure is held at rest. The boxes A and B have masses of 100 kg and 200 kg respectively. The inclined planes are smooth and long enough. The boxes are released to move. Find the speed (cm/s) of 100 kg box after it had travelled a distance of 6 cm.

Two particles A and B of masses 1kg and 2kg , respectively, are kept at a very large separation. When they are released, they move under their gravitational attraction. Find the speed (in 10^(-5) m//s ) of A when that of B is 3.6 cm//hr .

The blocks A and B shown in figure have masses M_A=5kg and M_B=4kg . The system is released from rest. The speed of B after A has travelled a distance 1m along the incline is

Block A has mass 40 kg and B has 15 kg and F is 500N parallel to smooth inclined plane.The system is moving together The acceleration of the system is

Two blocks A and B of masses 5 kg and 2 kg respectively connected by a spring of force constant = 100Nm^(-1) are placed on an inclined plane of inclined 30^(@) as shown in figure If the system is released from rest

In the figure-2.216, the masses A and B are of 4kg and 12 kg respectively. When the system is released from rest, find the time after which the block B will hit the ground.

In the system shown in figure, all surfaces are smooth, pulley and strings are massless. Mass of both A and B are equal. The system is released from rest. (a) Find the veca_(A). veca_(B) immediately after the system is released. veca_(A) "and" veca_(B) are accelerations of block A and B respectively. (b) Find veca_(A) immediately after the system is released.

Block A has mass 40 kg and B has 15 kg and F is 500N parallel to smooth inclined plane.The system is moving together The least coefficient of friction between A and B is

In the system shown in fig, mass of the block is m_(1) = 4 kg and that of the hanging particle is m_(2) = 1 kg. The incline is fixed and surface is smooth. Block is initially held at the top of the incline and the particle hangs a distance d = 2.0 m below it. [Assume that the block and the particle are on same vertical line in this position]. System is released from this position. After what time will the distance between the block and the particle be minimum ? Find this minimum distance. [ g = 10 m//s^(2) .]

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.