A disc of radius `0.2 m` is rolling with slipping on a flat horizontal surface, as shown in Fig. The instantaneous centre of rotation is (the lowest contact point is `O` and centre of disc is `C`)

Options

A. zero
B. `0.1 m` above `O` on line `OC`
C. `0.2 m` below `O` on line `OC`
D. `0.2 m` above `O` on line `OC`

Answer

C

Explanation

If instantaneous centre of rotation is `P` at a distance r from the cenric line `OC`, then from the definition of instantaneous centre of rotation the velocity of a point `P` should be zero.

`v_(p)=4-10r=0`
`r=2/5m=0.4m`
So, instantaneous centre of rotation is at distance `0.2 m` from `O` (below `O`) on line `OC`.