A wheel rolls without slipping on a horizontal surface such that its velocity of center of mass is `v`. The velocity of a particle at the highest point of the rim is

Options

A. zero
B. `v`
C. `2 v`
D. `sqrt2 v`

Explanation

When a body rolls without slipping, the velocity of any point of the body is resultant of two velocities: one due to pure translational motion and another due to pure rotational motion. Also, `v=romega`.
`v_(A)=v+R omega=v+v=2v`
`v_(B)=sqrt(v^(2)+(romega)^(2))=sqrt2v`
`v_(C)=v-v=0`