A cylinder of radius R is to roll without slipping between two planks as shown in the figure. Then

Options

A. (a)angular velocity of the cylinder is `(v)/(R)` counter clockwise
B. (b)angular velocity of the cylinder is `(2v)/(R)` clockwise
C. (c)velocity of centre of mass of the cylinder is `v` towards left
D. (d)velocity of centre of mass of the cylinder is `2v` towards right.

Explanation

`v_(0)+Romega_(0)=v`
`v_(0)-Romega_(0)=3v`
Solving these two equations
We get `v_(0)=2v`
and `omega_(0)-(v)/(R)`