Correct Answer - D
Acceleration of the bottom of the cylinder = acceleration of the plank `=2m//s^(2)` towards the right
Acceleration of the top of te cylinder = acceleration of `B=6m//s^(-2)` towards the left
Let linear acceleratiion of the cylinder be a towards the left and angular acceleration of it `alpha` in an anticlockwise sense. writing constraint, we get
`a+Ralpha=6` and `Ralpha-a=2`
`impliesalpha=1rads^(-2),a=2m//s^(2)`