A heavy circular disc of mass `M` is revolving in a horizontal plane with angular speed `omega_(0)` about its center which is fixed. An insect of mass `m` walks from the center to the edge and then files away. Find the final angular speed of disc.

Explanation

By the conservation of angular momentum about `O`
`I_(1)omega_(1)=I_(2)omega_(2)`
`(1)/(2)MR^(2)omega_(0)=((1)/(2)MR^(2)+mR^(2))omega`
`omega=((M)/(M+2m))omega_(0)`