In fig. a ball of mass `m_(1)` and a block of mass `m_(2)` are joined together with an inextensible string. The ball can slide on a smooth horizontal surface. If `v_(1)` and `v_(2)` are the respective speeds of the ball and the block, then determine the constraint relation between the two.

In the Fig. the blocks 'A' and 'B' are connected with an inextensible string. The block 'A' can slide on a smooth horizontal surface.

Two blocks of masses m and M are connected by an inextensible light string . When a constant horizontal force acts on the block of mass M. The tension in the string is

Two blocks of masses m and M are connected by an inextensible light string . When a constant horizontal force acts on the block of mass M. The tension in the string is

Two block of masses m_(1) and m_(2) are placed side by side on a smooth horizontal surface as shown in fig. A horizontal force F is applied on the block . (a) Find the acceleration of each block. (b) Find the normal reaction between the two blocks.

Two block of masses m_(1) and m_(2) are placed side by side on a smooth horizontal surface as shown in fig. A horizontal force F is applied on the block . (a) Find the acceleration of each block. (b) Find the normal reaction between the two blocks.

Two identical small balls, each of mass m , are connected by a massless and inextensible string of length l and placed on a smooth horizontal xy plane. An external agent pulling the string from its mid-point along y -axis with velocity v_(0) as shown in Fig. When the separation between the two balls reduces to l//2 then the speed of each ball will be

Two identical small balls, each of mass m , are connected by a massless and inextensible string of length l and placed on a smooth horizontal xy plane. An external agent pulling the string from its mid-point along y -axis with velocity v_(0) as shown in Fig. When the separation between the two balls reduces to l//2 then the speed of each ball will be

Two identical balls each of mass m interconnected by a small light inextensible string are kept on a smooth horizontal surface. One of the balls is pushed towards the other with a speed v_(0) find the loss of K.E. of the ball. What will be the final velocities of the balls ? (e=1).

Two identical balls each of mass m interconnected by a small light inextensible string are kept on a smooth horizontal surface. One of the balls is pushed towards the other with a speed v_(0) find the loss of K.E. of the ball. What will be the final velocities of the balls ? (e=1).

Two blocks of mass m_(1)"and"m_(2) are connected by light inextensible string passing over a smooth fixed pulleuy of negligible mass. The acceleration of the centre of mass of the system when blocks move under gravity is :