A hemispherical bowl of radius R is rotated abot its axis of symmetry which is kept vertical.A small block is kept in the bowl at a position where the raius makes an angle 'a' with the verical. The block rotates with the bowl without slipping.the frictional coefficient between the block and bowl surface is'u'.Find the range of angular speed for which the block will not slip?

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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