The rope shown in figure is wound around a cylinder of mass `4 kg` and moment of inertia `0.02 kgm^2` about the cylinder axis. If the cylinder rolls without slipping, then the linear acceleration of its centre of mass is.
.

Options

A. `6.7 m//s^2`
B. `10.0 m//s^2`
C. `3.3 m//s^2`
D. none of these

Answer

A

Explanation

(a) `a = r prop, m = 4 kg`
`20 + f = 4 a`
`20 r - fr = 0.02 prop`
`rArr a = 6.7 m//s^2`.
.