A cockroach is moving with velocity `v` in anticlockwise direction on the rim of a disc of radius `R` of mass `m`. The moment of inertia of the disc about the axis is `I` and it is rotating in clockwise direction with an angular velocity `omega`. If the cockroach stops, the angular velocity of the disc will be

Explanation

`I_("disc") omega = mvR = (I_("disc") +mR^(2))omega rArr omega = (Iomega-mvR)/(I+MR^(2))`