A circular cylinder of radius R and height H is filled with
water to a height 2H/3. It starts rotating about its axis with
constantly increasing angular speed. Choose the correct
alternatives:
(A) At all speeds, shape of the free surface is parabolloid.
(B) The free surface touches first the brim of cylinder and then the base of the cylinder.
(C) The free surfaces cannot touch the base without spilling water.
(D) The free surfaces touches the brim as well as base at the same instant.

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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