Q$1$:

Consider the space truss represented schematically in Figure $1.$ It has $21$ struts and a fixed support at $"$A$".$ At joint $"\backslash ($ G $\backslash )",$ it is applied a force vector with a component of $-10$ N $,$ along the x $-$axis direction, and a component of $40$ N $,$ along the y $-$axis direction, as shown in Figure $1.$ Using the method of joints, calculate the forces for the struts converging at joint $"$E$",$ i$.$e$.$ the forces for struts $"$EA$","$EB$","$EF$","$EG$","$ED$"$ and $"$EH$"$ and specify if the struts are in tension or in compression. $($must include the Free Body Diagram $($FBD$)$ and the application of the equilibrium equations for the corresponding FBD$).$

Figure $1$