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

Answer

D

Explanation

Angular momentum is conserved `I_(1)omega_(1)=I_(2)omega_(2)`
`mR^(2)omega=mR^(2)omega_(2)+2MR^(2)omega_(2)`
`omega_(2)=(momega)/(m+2M)`