A thin circulr 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 $\omega'$.

Question

( A ) $\frac{\omega m}{(m+M)}$
( B ) $\frac{\omega (m- 2M)}{(m+2M)}$
( C ) $\frac{\omega m}{(m + 2M)}$
( D ) $\frac{\omega (m + 2M)}{m}$