A heavy circular disc is revolving in a horizontal plane about the centre which is fixed. An insect of mass 1/n th that of the disc walks from the centre along a radius and then flies away. Show that the final angular velocity is n/(n+2) times the original angular velocity of the disc.

A heavy circular disc is revolving in a horizontal plane about the cen

1.	A heavy circular disc is revolving in a horizontal plane about the centre which is fixed. An insect of mass 1/n th that of the disc walks from the centre along a radius and then flies away. Show that the final angular velocity is n/(n+2) times the original angular velocity of the disc.
Answer» Solution :`I_(1)omega_(2) =I_(2)omega_(2) , (1//2) MR^(2)+ (1//n) mr^(2)]omega_(2), omega_(2) = nomega_(1)//n +2`