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A thin circular ring of mass \( m \) and radius \( R \) is rotating about its axis with a constant angular velocity \( \omega \). Two objects each of mass \( M \) are attachecd gently to the opposite ends of a diameter of the ring. The ring
\( P \) now rotates with an angular velocity \( \omega^{\prime}= \)
(A) \( \frac{\omega \mathrm{m}}{(\mathrm{m}+\mathrm{M})} \)
(B) \( \frac{\omega m}{(m+2 M)} \)
(C) \( \frac{\omega(m+2 M)}{m} \)
(D) \( \frac{\omega(m-2 M)}{(m+2 M)} \)
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