Differential EquationHard

Question

A thin ring of mass 2 kg and radius 0.5 m is rolling without on a horizontal plane with velocity 1 m/s. A small ball of mass 0.1 kg, moving with velocity 20 m/s in the opposite direction hits the ring at a height of 0.75 m and goes vertically up with velocity 10 m/s. Immediately after the collision
                 

Options

A.he ring has pure rotation about its stationary CM.
B.the ring comes to a complete stop.
C.friction between the ring and the ground is to the left.
D.there is no friction between the ring and the ground.

Solution

During collision friction is impulsive and immediately after collision the ring will have a clock-wise angular velocity hence friction will be towards left.

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