A thin circular ring of mass M and radius R is rotating with a constant angular velocity 2 rads$-$1 in a horizontal plane about an axis vertical to its plane and passing through the center of the ring. If two objects each of mass m be attached gently to the opposite ends of a diameter of ring, the ring will then rotate with an angular velocity (in rads$-$1).

Question

A thin circular ring of mass M and radius R is rotating with a constant angular velocity 2 rads^$-$1 in a horizontal plane about an axis vertical to its plane and passing through the center of the ring. If two objects each of mass m be attached gently to the opposite ends of a diameter of ring, the ring will then rotate with an angular velocity (in rads^$-$1).

${M \over {(M + m)}}$

${{(M + 2m)} \over {2M}}$

${{2M} \over {(M + 2m)}}$

${{2(M + 2m)} \over M}$

Solution

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