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A disc of radius 20 CM is rolling withou...

A disc of radius `20 CM` is rolling without slipping on a flat horizontal surface. At a certain instant the velocity of its centre is `4 m//s` and its angular velocity is `10 rad//s`. The lowest contact point is `O`.

Velocity of point `P` is

A

`sqrt(10) m//s`

B

`2sqrt(5)m//s`

C

`sqrt(5)m//s`

D

`5m//s`

Text Solution

Verified by Experts

The correct Answer is:
D
As net velocity of contact point is not zero, the disc rolls with slipping as `omega` about `IC` is the same

`omega=(v_(0))/(IO)=(v_(c))/(IC)`
`2/x=4/(x+R)` or `x=0.2m`
Velocity of `P` is given by `v_(p)=(IP)omega=sqrt(5)Rxx2/x=2sqrt(5)m//s`
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