$A$ 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 attached gently to the opposite ends of a diameter of the ring. The ring will now rotate with an angular velocity:
- A$\frac{\omega (M - 2m)}{M + 2m}$
- B$\frac{\omega M}{M + 2m}$
- C$\frac{\omega M}{M + m}$
- D$\frac{\omega (M + 2m)}{M}$
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