The rod is supported by ball$-$and$-$socket joint $D$ and cables $AB,AC$ as shown in $($Figure $1).$ Suppose that $F=400N^{}$ and $x=7m.$

Figure

$1$ of $1$

Part A

Determine the tension in the cable $A$B$,$ AC$.$

determine the x$,$y$,$z compoents of reaction at support D using scalar notation

Express your answer to three significant figures and include the appropriate units.