Bar CABD is supported by a ball$-$socket at A$,$ and by three cords,

$BG,CG,$ and $EF,$ as shown, and a $38$ lb force acts on it at $D.$

$($This force is purely in the $-z$ direction.$)$ Find

$($a$)$ the reaction at $A$

$($b$)$ the tensions $T_{BG},T_{CG},$ and $T_{EF}$ in the cords $($magnitudes$)$