Suppose in the previous poroblem, the child stays at rest on the platform and one of hils firend throws a ball of mas `m_(1)` towards thim with a velocity of `v` from a direction tangential to the platform and the child on the platform catches the ball. Find the angular velocity of the platform after he catches the ball.

A kid of mass M stands at the edge of a platform of radius R which can be freely rotated about its axis. The moment of inerti of the platform is I . The system is at rest when a friend throws as ball of mas mand the kid cathces it. If the velocity of the ball is v horiontally along the tangent to the edge of the platform when it was caught by the kid find the angular speed of the platform after the event.

Suppose the platform of the previous problem is brought to rest with the ball in tehhad of the kid standin on the rim. The kid throuws the ball horizontaly to his friend in a direction tangentiasl to the rim with a speed v as seen by his friend. Find the angular velocity wilth which the platform will start rotating.

A man of mass m_1 is standing on a platform of mass m_2 kept on a smooth horizontal surface. The man starts moving on the platform with a velocity v_r relative to the platform. Find the recoil velocity of platform.

A flat car of mass M with a child of mass m is moving with a velocity v_(1) . The child jumps in the direction of motion of car with a velocity u with respect to the car. Find the final velocities of the child and that of the car after jump.

Suppose a person of mass m stands at the edge of a circular platform of radius R and moment of inertia I . The platform is at rest initially, but the platform begins to rotate when the person begins to move with velocity v . Determine the angular velocity of the platform.

A child of mass m is standing, on the periphery of a circular platform of radius R , which can rotate about its central axis. The moment of inertia of the platform is I . Child jumps off from the platform with a velocity u tangentially relative to the platform. Find the angular speed of the platform after the child jumps off.

In previous problem, if initially the platform with the child is rotating with an angular speed omega_(1) . If child start walking along its periphery in opposite direction with speed u relative to platform, what will be the new angular speed ofthe platform.

A person of mass m stands at the edge of a circular platform of radius R and moment of inertia. A platform is at rest initially. But the platform rotate when the person jumps off from the platform tangentially with velocity u with respect to platfrom. Determine the angular velocity of the platform.

Suppose the platform with the kid in the previous problemis rotting in anticlockwise directioin at an angular speed omega . The kid starts walking along the rim with a speed v relative to the platform also in the anticlockwise direction. Find the new angular speed of the platform.

A ball of mass 5 kg moving velocity 3m//s impinges direction on another ball of mass 2 kg moving with velocity 0.5m//s towards the first ball. Find the velocity after impact, if e=(4)/(7)