A thin circular ring of mass \( M \) and radius \( r \) is \( \math...

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