In the previous problem, initially the insect is at the edge and the disc is rotating with angular speed `omega_(0)` in clockwise direction. Now the insect starts walking along the rim with speed `v` relative to the disc also in clockwise direction. Find new angular speed of platfrom.

Explanation

By the conservation of angular momentum about `O`
`(1)/(2)MR^(2)omega_(0)=(1)/(2)MR^(2)omega'+m(v+Romega)R'`
[speed of insect with respect to the ground `(v+romega')`]
`(1)/(2)MR^(2)omega_(0)-mvR=((1)/(2)MR^(2)+mR^(2))omega'`
`omega'=(Momega_(0)-(2mv)/(R))/(M+2m)`