A thin, uniform and rigid rod R of mass M and length L rests on a flat frictionless table top. A
tiny piece of wood of mass m  0.01 M sliding on the table towards R with a velocity v
perpendicular to the length of the rod hits one end of R and gets stuck. The speed of the centre
of mass and angular speed of the resulting system are respectively given by

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