A horizontal force $F$ is applied at the center of mass of a cylindrical object of mass $m$ and radius $R$, perpendicular to its axis as shown in the figure. The coefficient of friction between the object and the ground is $\mu$. The center of mass of the object has an acceleration a. The acceleration due to gravity is g . Given that the object rolls without slipping, which of the following statement(s) is(are) correct?