Problem $04\mathrm{.}122-$ Welded collar

The assembly shown in the figure is welded to collar $\backslash ($ A $\backslash )$ that fits on a vertical pin. The pin can exert couples about the $\backslash ($ x $\backslash )-$and $\backslash ($ z $\backslash )-$axes but does not prevent motion along or about the $\backslash ($ y $\backslash )-$axis.

For the load $\backslash ($ W$=670\backslash$mathrm$\{$~N$\}\backslash ),$ determine the tension in each cable and the reaction at $\backslash ($ A $\backslash ).$

The tension in cable $\backslash ($ C F $\backslash )$ is

N$.$

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

N $.$

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

$\backslash (\backslash$mathrm$\{$N$\})\backslash$mathbf$\{$i$\}+(\backslash )$ N$)\backslash (\backslash$mathbf$\{$k$\}\backslash ).$

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

$\backslash ($ N $\backslash$cdot m$)\backslash$mathbf$\{$i$\}+(\backslash )$

N$)\backslash (\backslash$boldsymbol$\{$k$\}\backslash ).($Include a minus sign if necessary.$)$