Problem $3$

The frame $\backslash ($ A C D $\backslash )$ is supported by ball$-$and$-$socket joints at $\backslash ($ A $\backslash )$ and $\backslash ($ D $\backslash )$ and by a cable that passes through a ring at $\backslash ($ B $\backslash )$ and attached to hooks at $\backslash ($ G $\backslash )$ and $\backslash ($ H $\backslash ).$ Knowing that the frame supports at point $\backslash ($ C $\backslash )$ a load of magnitude $\backslash ($ P$=300\backslash$mathrm$\{$~N$\}\backslash ),$ determine the tension in the cable.