A thin circular ring of mass M and radius r is rotating about its axis with a constant angular velocity ω. Two objects, each of mass m, are attached gently to the opposite ends of a diameter of the ring. The wheel now rotates with an angular velocity
a. (M+m)ωM
b. (M+2m)ω(M−2m)
c. (M+2m)ωM
d. Mω(M+2m)