A circular disc rolls on a horizontal floor without slipping and the centre of the disc moves with a unifonn velocity v. Which of the following values the velocity at a point on the rim of the disc can have?

Options

A. v
B. `-v`
C. 2v
D. zero

Answer

A, C, D

Explanation

In case of pure rolling, `v = omegaR`
So, velocity at the point of contact, `v_(g) = v - omegaR = 0`
Velocity at the top, `v_(l) = v + omegaR = 2v`

Velocity at a point on the rim of disc,vr =v is possible if v and `omegaR` are at 120°.
Velocity at a point on the rim of disc, v r = -v is not possible because `-1 lecostheta le1`.