A uniform solid cylindrical roller of mass $'m'$ is being pulled on a horizontal surface with force $F$ parallel to the surface and applied at its centre. If the acceleration of the cylinder is $'a'$ and it is rolling without slipping then the value of $'F$ is :

Question

( A ) $\frac{5}{3} \;ma$
( B ) $ma$
( C ) $2 \; ma$
( D ) $\frac{3}{2}\;ma$