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 wheel now rotates with an angular velocity `omega=`

Options

A. `(omegaM)/(M-m)`
B. `(omega(M-2m))/(M-2m)`
C. `(Momega)/(M+2m)`
D. `(omega(M+2m))/(M)`

Explanation

`I_(1)omega_(1)=I_(2)omega_(2)`
`MR^(2)omega=(MR^(2)+2mR^(2))omega_(2)`
`omega_(2)=(Momega)/(M+2m)`