From a uniform circular disc of radius 2cm (its centre of mass is at O). A circular portion of radius 1cm is removed such that shift in centre of mass is maximum. The disc is now rotated about 'O' perpendicular to the plane through angle 'theta' then the magnitude of displacement of new centre of mass is (1/√3)cm then 'theta' is

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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