A thin circular ring of mass \( \mathrm{M} \) and radius \( r \) is...

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A thin circular ring of mass \( \mathrm{M} \) and radius \( r \) is rotating about its axis with a constant angular
\( \mathrm{P} \) velocity \( \omega \). Two objects each of mass \( m \) are attached gently to the opposite ends of a diameter of the ring.
W. The ring will now rotate with an angular velocity
(1) \( \frac{\omega(M+2 m)}{M} \)
(2) \( \frac{\omega M}{M+2 m} \)
(3) \( \frac{\omega(M-2 M)}{M+2 m} \)
(4) \( \frac{\omega M}{M+m} \)
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