$4\mathrm{.}5-37$ The inclined beam represents a ladder with the following applied loads: the weight $(\backslash ($ W $\backslash ))$ of the house painter and the distributed weight $(\backslash ($ w $\backslash ))$ of the ladder itself.

$($a$)$ Find support reactions at $\backslash ($ A $\backslash )$ and $\backslash ($ B $\backslash )$; then plot axial force $\backslash (($N$)\backslash ),$ shear $\backslash (($V$)\backslash ),$ and moment $\backslash (($M$)\backslash )$ diagrams. Label all critical $\backslash ($ N$,$ V $\backslash ),$ and $\backslash ($ M $\backslash )$ values and also the distance to points where any critical ordinates are zero. Plot $\backslash ($ N$,$ V $\backslash ),$ and $\backslash ($ M $\backslash )$ diagrams normal to the inclined ladder.

$($b$)$ Repeat part $($a$)$ for the case of the ladder suspended from a pin at $\backslash ($ B $\backslash )$ and traveling on a roller support perpendicular to the floor at $\backslash ($ A $\backslash ).$