A thin circular ring of mass M and radius R is rotating about its central axis with angular velocity `omega`. Four point objects each of mass m are attached gently to the opposite ends of two perpendicular diameters, the angular velocity of the ring is given by :

Options

A. `(M)/(M+m).omega`
B. `(M)/(M+4m).omega`
C. `(M+4m)/(M).omega`
D. `(M-4m)/(M+4m).omega`

Answer

B

Explanation

`I_(1)omega_(1)=I_(2)omega_(2)implies MR^(2)omega=(M+4m)R^(2)omega_(2)`
implies `omega_(2)=(Momega)/(M+4m)`