Required information

A rigid L$-$shaped member $\backslash ($ A B F $\backslash )$ shown in the figure is supported by a ball$-$and$-$socket joint at $\backslash ($ A $\backslash )$ and by three cables.

For $\backslash ($ W$=42\backslash$mathrm$\{$lb$\}\backslash ),$ determine the tension in each cable and the reaction at $\backslash ($ A $\backslash ).($Include a minus sign if necessary.$)$

The tension in cable $\backslash ($ F J $\backslash )$ is lb$.$

The tension in cable $\backslash ($ D H $\backslash )$ is

lb$.$

The tension in cable $\backslash ($ B G $\backslash )$ is

lb $.$

The reaction at $\backslash ($ A $\backslash )$ is $($

lb$)\backslash (\backslash$mathbf$\{$i$\}+\backslash$mathbf$\{(\}\backslash )$

lb$)\backslash (\backslash$mathbf$\{$k$\}\backslash ).$