Figure-1.65 shows a system of four pulleys with two masses A and B. Find, at an instant:

Figure shows, a system of four pulley with two masses A and B. Find at an instant. (a) Speed of block A when block B is going up at 1ms^(-1) and pulley Y is going up at 2 ms^(-1) . (b) Acceleration of block A if block B is going up 3 ms^(-2) and pulley Y is going down at 1 ms^(-2) .

Figure shows a system of four pulleys with two masses m_(A) =3kg and m_(B)=4 kg . At an instant force acting on block A if block B is going up at an acceleration of 3 m//s^(2) and pulley Q is going down at an acceleration of 1 m//s^(2) is .

Figure (a) and (b) shows a system of two masses A and B a motor M. find the relation in velocities of mass A and B, if the motor winding speed is v.

Figure shows a system consisting of pulley having radius R, a spring of force constant k and a block of mass m. Find the period of its vertical oscillation.

Figure shows wavefront P Passing through two systems A and B, and emerging as Q and then as R. Then systems A and B could, respectively, be

Figure shows a pulley over which is string passes and connected to two masses A and B. Pulley moves up with a velocity V_(P) and mass B is also going up at a velocity V_(B) . Find the velocity of mass A if (a) V_(P)=5ms^(-1) and V_(B)=10ms^(-1) (b) V_(P)=5ms^(-1) and V_(B)=-20 ms_(-1) .

Figure shows a light platform on which a man of mass M is standing and holding a string passing over a system of ideal pulleys. Another mass m is hanging as shown in fig. Find the force the man has to exert to maintain the equlibrium of system, and find the force exerted by the platform on the man. Also find the ratio of M//m .

Figure shows a pulley of mass m and radius r with two blocks of masses m_(1) and m_(2) attached with a light and unstretchable string. Find the acceleration of the blocks, tensions in the string and the force exerted by the pulley on the celling from which it is hanging. Assume no slipping between the string and the wheel.

Figure shows a composite system of two uniform rods of lengths as indicated. Then the coordinate of the center of mass of the system of rods are

Figure shows two blocks each of mass m system is released from rest. If acceleration of blocks A and B at any instant (not initially) are a_(1) and a_(2) , respectively. Then