Consider the truss below. All angles are $60$ degrees and each link is $0\mathrm{.}5$ meters long. $\backslash ($ F$=5000\backslash )$ Newtons.

Part $1$:

Use the method of joints to calculate the internal forces in each member. Display your answers in a hand$-$written document. Show $($hand$-$drawn and hand$-$written$)$:

$($a$)$ Show Free body diagram and apply the conditions of static equilibrium of:

a$.$ The entire truss. $(2$ points$)$

b$.$ Each joint. $($Write equations for each internal force: $\backslash (7\backslash$times $1\backslash )$ point$)$

$($b$)$ Solve for the tensile or compressive forces in each member $(11\backslash (\backslash$times $1\backslash )$ point$)$

Part $2$:

$($a$)$ Use the method of sections to calculate the forces in the $4$ members at the point of application of the force F$.$ Include a hand$-$drawn sketch of the free body diagrams $(5$ points$)$

$($b$)$ Create a spreadsheet to calculate all the internal forces. $(5$ points$)$