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A cockroach is moving with velocity v in...

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

A

`(Iomega)/(I+mR^(2))`

B

`(Iomega+mvR)/(I+mR^(2))`

C

`(Iomega-mvR)/(I+mR^(2))`

D

`(Iomega-mvR)/(I)`

Text Solution

Verified by Experts


`(Iomega-mvR)=(I+mR^(2))omega'`
`omega'=(Iomega-mvR)/(1+mR^(2))`
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