Question

A disc of radius `20 CM` is rolling with 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 `O` is
A. `2m//s`
B. `4m//s`
C. `1m//s`
D. `3m//s`

Answer 1

Correct Answer - A
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`