A stationary horizontal uniform circular disc of mass m and radius R can freely rotate about its axis . Now it starts experiencing a torque τ = aθ+ b. where θ is the angular displacement of disc and a and b are positive constants. Find the angular velocity of the disc as a function of θ.

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.

11

21

31

41