A round disc of moment of inertia I_(2) about its axis perpendicular to its plane and passing through its centre is placed over another disc of moment of inertia I_(1) rotating with an angular velocity omega about the same axis. The final angular velocity of the combination of disc is.............

A round disc of moment of inertia I_(2) about its axis perpendicular t

1.	A round disc of moment of inertia I_(2) about its axis perpendicular to its plane and passing through its centre is placed over another disc of moment of inertia I_(1) rotating with an angular velocity omega about the same axis. The final angular velocity of the combination of disc is.............
Answer» `((I_(1)+I_(2))omega)/(I_(1))` `(I_(2)omega)/(I_(1)+I_(2))` `omega` `(I_(1)omega)/(I_(1)+I_(2))` SOLUTION : According to CONSERVATION of momentum, `L=L.` `therefore I_(1)omega=(I_(1)+I_(2))omega.` `therefore omega.=(I_(1)omega)/(I_(1)+I_(2))`