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 ring will now rotate with an angular velocity

Options

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

Answer

B

Explanation

L = I`omega` = constant (No external torque is acting) `(M + 2m )r^(2)omega. = Mr^(2)omega`
`omega.=(Mr^(2)omega)/((M+2m)r^(2))=(omegaM)/(M+2m)`