$8\mathrm{.}22$ The $\backslash (1\mathrm{.}1-\backslash$mathrm$\{$m$\}\backslash )$ bar is supported by a ball and socket support at $\backslash ($ A $\backslash )$ and the two smooth walls. The tension in the vertical cable $\backslash ($ C D $\backslash )$ is $1$ kN $.$

$($a$)$ Draw the free$-$body diagram of the bar.

$($b$)$ Determine the reactions at $\backslash ($ A $\backslash )$ and $\backslash ($ B $\backslash ).$

Problem $8\mathrm{.}22$