The disc of radius `r` is confined to roll without slipping at `A` and `B`. If the plates have the velocities shown, then

Options

A. angular velocity of the disc is `2V//r`
B. linear velocity `V_(0)=V`
C. angular velocity of the disc is `3V//2r`
D. none of these

Answer

A, B

Explanation

`v_(0)=romega_(0)=3v`……i
`v_(0)+romega_(0)=-v`….ii
From eqn i and ii we get
`2v_(0)=2vimpliesv_(0)=v`
`v_(0)+v_(0)=-romega_(0)impliesomega=(2v)/r`