A thin circular ring of mass M and radius R is rotating in a horizontal plane about an axis vertical to its plane with a constant angular velocity $\omega$, If two objects each mass m be attached gently to the opposite ends of a f diameter of the ring, the ring, will then rotate with an angular velocity :

Question

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