A ring of mass $M$ and radius $R$ is rotating about its axis with angular velocity $\omega$. Two identical bodies each of mass $m$ are now gently attached at the two ends of a diameter of the ring. Because of this, the kinetic energy loss will be: (1) $\frac { m ( M + 2 m ) } { M } \omega ^ { 2 } R ^ { 2 }$ (2) $\frac { M m } { ( M + m ) } \omega ^ { 2 } R ^ { 2 }$ (3) $\frac { M m } { ( M + 2 m ) } \omega ^ { 2 } R ^ { 2 }$ (4) $\frac { ( M + m ) M } { ( M + 2 m ) } \omega ^ { 2 } R ^ { 2 }$
A ring of mass $M$ and radius $R$ is rotating about its axis with angular velocity $\omega$. Two identical bodies each of mass $m$ are now gently attached at the two ends of a diameter of the ring. Because of this, the kinetic energy loss will be:\\
(1) $\frac { m ( M + 2 m ) } { M } \omega ^ { 2 } R ^ { 2 }$\\
(2) $\frac { M m } { ( M + m ) } \omega ^ { 2 } R ^ { 2 }$\\
(3) $\frac { M m } { ( M + 2 m ) } \omega ^ { 2 } R ^ { 2 }$\\
(4) $\frac { ( M + m ) M } { ( M + 2 m ) } \omega ^ { 2 } R ^ { 2 }$