A disc of mass M and radius R has massless string wrapped over it with one end fixed on disc and other end connected to block of same mass M. Initially system is held at rest.Now system is released from rest. Immediately after system is released (assume there is no slipping at any contact surface ).

1) Find tension in string

2) Find acceleration of block in ground frame (vector form).

Three identical balls are placed on a frictionless horizontal surface touching each other. They stick to each other because of adhesive. Another ball of same radius and mass m is placed over the void created by the three balls. Find the forces applied by the balls kept on the floor to each other if the system remains in equilibrium.

A car loaded with water having total mass 1000 kg moves on a straight horizontal Road starting from rest under the action of a force of 100 Newton. The water spills throw a small hole in the bottom at a rate of 0.1 KG per second the velocity of cart after 300 seconds is nearly.

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