Consider the space truss represented schematically in Figure $1.$ It has $21$ struts and a fixed support at $$C$.$ At joint $$E$,$ it is applied a force vector with a component of $30$ N$,$ along the x$-$axis, and a component of $10$ N$,$ along the negative y$-$axis, as shown in Figure $1.$ Using the method of joints, calculate the forces for the struts converging at joint $$G$,$ i$.$e$.$ the forces for struts $$GB$,$GC$,$GD$,$GE$,$GF$$ and $$GH$$ and specify if the struts are in tension or in compression. $($Your submission must include the Free Body Diagram $($FBD$)$ of each joint and the application of the equilibrium equations for the corresponding FBD$).$