A circular ring of mass m and radius R rests flat on a horizontal smooth surface as shown in fig...

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A circular ring of mass m and radius R rests flat on a horizontal smooth surface as shown in figure. A particle of mass m, and moving with a velocity \(v\) collides inelastically \((e= 0)\) with the ring. The angular velocity with which the system rotates after the particle strikes the ring is :
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