Question $1$: Determine the tension in the cable $\backslash ($ A B $\backslash )$ and the forces developed along the spring $\backslash ($ A C $\backslash )$ and the strut $\backslash ($ A D $\backslash )$ for equilibrium of the $40$ kg crate $($take gravitational constant $\backslash ($ g$=10\backslash$mathrm$\{$~N$\}/\backslash$mathrm$\{$m$\}^\{2\}\backslash )).$ If spring constant is $\backslash ($ k$=200\backslash$mathrm$\{$~N$\}/\backslash$mathrm$\{$m$\}\backslash )$ what is the unstretched length of the spring?

$1.$ Draw Free Body diagram. Clearly show the forces and use easy to follow notation.

$2.$ From position vectors, determine the unit vectors of the forces.

$3.$ Apply Newton's first law in space to find forces.

$4.$ From spring constitutive equation, determine the unstretched length of the spring.