$3-10*$ Three smooth homogeneous cylinders $\backslash ($ A$,$ B $\backslash ),$ and $\backslash ($ C $\backslash )$ are stacked in a box as shown in Fig. P$3-10.$ Each cylinder has a diameter of $250$ mm and a mass of $245$ kg $.$ Determine

$($a$)$ The force exerted by cylinder $\backslash ($ B $\backslash )$ on cylinder $\backslash ($ A $\backslash ).$

$($b$)$ The forces exerted on cylinder $\backslash ($ B $\backslash )$ by the vertical and horizontal surfaces at $\backslash ($ D $\backslash )$ and $\backslash ($ E $\backslash ).$

Figure P$3-10$