Part $2($remaining $60$ points with points listed in each question$)$

Consider the $2$D truss shown in the Figure below, with three fixed supports in the ground. The truss members are made of PVC with Young's modulus of $3\mathrm{.}5$GPa and have cross$-$sectional area of $10c{m}^2($equal to $0\mathrm{.}001m^2).$ Forces of $2$ kN and $1$ kN are applied as shown.

$($a$)(3$ pts$)$ Label the nodes and the elements in the figure with appropriate node and element numbers. Do not forget to include the coordinate system $(x$ and $y$ directions$)$ that you will be using.

$($b$)(3$ pts$)$ Write the nodes that define each element $($be mindful that node ordering you pick is important for next questions$)$

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