$(25$ Pts$)$ An overhang beam is supporting the loads shown in the figure. The reaction forces at the supports are $R_A=6\mathrm{.}6karr,$ and $R_B=3\mathrm{.}4karr.$

$($a$)$ Determine the shear $V(x)$ and moment $M(x)$ equations as a function of position $(x)$ for the ranges of $0x5m$ and $5x8m,$ for the given beam. $(15$ Pts$)$

$($b$)$ Draw the shear force and moment diagrams for the beam $($remember to label important transition points and maximum$/$minimum points on the graphs$).(10$ Pts$)$