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 now rotates with an angular velocity $$\omega' =$$

A

$$\dfrac{\omega m}{(m+2M)}$$

B

$$\dfrac{\omega(m+2M)}{m}$$

C

$$\dfrac{\omega(m-2M)}{(m+2M)}$$

D

$$\dfrac{\omega m}{(m+M)}$$