A slender uniform rod of mass M and
length l is pivoted at one end so that it can
rotate in a vertical plane (see figure). There
is negligible friction at the pivot. The free
end is held vertically above the pivot and
then released. The angular acceleration
of the rod when it makes an angle θ with
the vertical 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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