A thin circular ring of mass M and radius r is rotating about its axis with a constant angular velocity ω. Four objects each of mass m , are kept gently to the opposite ends of the perpendicular diameters of the ring. The angular velocity of the ring will be

Q: A thin circular ring of mass M and radius r is rotating about its axis with a constant angular velocity ω. Four objects each of mass m , are kept gently to the opposite ends of the perpendicular diameters of the ring. The angular velocity of the ring will be

(a) $\frac{M \omega}{M + 4 m}$

(b) $\frac{(M + 4 m)\omega}{M }$

(c) $\frac{(M + 4 m) \omega}{M + m}$

(d) $\frac{M \omega}{4 m}$

Ans: (a)