In the figure, a constant horizontal force $\backslash (\backslash$vec$\{$F$\}\_\{$a p p$\}\backslash )$ of magnitude $56\mathrm{.}8$ N is applied to a uniform solid cylinder by fishing line wrapped around the cylinder. The mass of the cylinder is $10\mathrm{.}2$ kg $,$ its radius is $0\mathrm{.}424$ m $,$ and the cylinder rolls smoothly on the horizontal surface. $($a$)$ What is the magnitude of the acceleration of the center of mass of the cylinder? $($b$)$ What is the magnitude of the angular acceleration of the cylinder about the center of mass? $($c$)$ In unit$-$vector notation, what is the frictional force acting on the cylinder?

$($a$)$ Number

Units

$($b$)$ Number

Units

$($c$)$ Number