Chapter $4$

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Problem: $16($of $16)$

Do not round intermediate answers. Give your final answer$($s$)$ to three decimal places. Check your units.

The bent $\backslash (\backslash$operatorname$\{$rod$\}$ A B D E $\backslash )$ is supported by ball$-$and$-$socket joints at $\backslash ($ A $\backslash )$ and $\backslash ($ E $\backslash )$ and by the cable $\backslash ($ D F $\backslash ).$ If a $\backslash (710-\backslash$mathrm$\{$N$\}\backslash )$ load is applied at $\backslash ($ C $\backslash )$ as shown, determine the tension in the cable.

$\backslash [$

T$($D F$)=$

$\backslash ]$

$\backslash [$

$\backslash$mathrm$\{$N$\}$

$\backslash ]$