A thin uniform square plate with side l and mass M can rotate freely about a stationary vertical axis coinciding with one of its sides. A small ball of mass m flying with velocity v at right angles to the plate strikes elastically the centre of it. Find:
(a) the velocity of the ball `v^'` after the impact,
(b) the horizontal component of the resultant force which the axis will exert on the plate after the impact.

A thin uniform square plate with side l and mass M can rotate freely abouta stationary vertical axis coinciding with one of its sides . A small ball of mass m flying with velocity v at right angles to the plate strikes elastically to the centre of it. Find the velocity of the ball v'after the impact and the horizontal component of the force which the axis will exert on the plate after the impact. [(3m-4M)/(3m+ 4M)v , (72Mm^(2)v^(2))/(l(3m+ 4m)^(2))]

A ball of mass m moving with velocity v collides head on elastically with another identical ball moving with velocity - V. After collision

A ball of mass m moving with velocity v collides head on elastically with another identical ball moving with velocity - V. After collision

A ball of mass m_(1) is moving with velocity 3v. It collides head on elastically with a stationary ball of mass m_(2) . The velocity of both the balls become v after collision. Then the value of the ratio (m_(2))/( m_(1)) is

A ball of mass m_(1) is moving with velocity 3v. It collides head on elastically with a stationary ball of mass m_(2) . The velocity of both the balls become v after collision. Then the value of the ratio (m_(2))/( m_(1)) is

A ball of mass m moving with velocity v , collide with the wall elastically as shown in the figure. After impact the change in angular momentum about P is : .

A ball of mass m moving with velocity v , collide with the wall elastically as shown in the figure. After impact the change in angular momentum about P is : .

A rod of mass 12 m and length l lying on a smooth horizontal plane can rotate freely about a stationary, vertical axis passing through the rod's end. A particle of mass m moving along the plane with speed v_(0) hits the rod's end perpendicularly and gets stuck there. Find the angular velocity of the system.