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?
Select ALL correct options:
A
For the same F, the value of 𝑎 does not depend on whether the cylinder is solid or hollow
B
For a solid cylinder, the maximum possible value of a is $2 \mu \mathrm{~g}$
C
The magnitude of the frictional force on the object due to the ground is always $\mu \mathrm{mg}$
D
For a thin-walled hollow cylinder, $a=\frac{F}{2 m}$
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