A thin circular ring of mass m and 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 wheel now rotates with an angular velocity :

Options

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

Answer

C

Explanation

`I_(1)omega_(1)=I_(2)omega_(2)impliesMr^(2)omega=(Mr^(2)+mr^(2)+mr^(2))omega_(2)`
`omega_(2)=(Momega)/(M+2m)`