PROBLEM $16\mathrm{.}101$

A $44\mathrm{.}5-$Nuniform square plate is supported by two identical $13\mathrm{.}3-$N uniform slender rods $\backslash ($ A D $\backslash )$ and $\backslash ($ B E $\backslash ).$ It is held in the position shown by rope $\backslash ($ C F $\backslash ).$ Determine, immediately after rope $\backslash ($ C F $\backslash )$ has been cut, $($a$)$ the acceleration of the plate, $\backslash (($b$)\backslash )$ the force exerted on the plate at point $\backslash ($ B $\backslash ).$