could you please solve this solve this step by step and provide detailed calculations along with the respective free body diagrams. Consider the space truss represented schematically in Figure

$1$

$.$

$$It has

$2$

$1$

$$struts and a fixed support at

$$

C

$$

$.$

$$At joint

$$

E

$$

$,$

$$it is applied a force

vector with a component of

$3$

$0$

$$N

$,$

$$along the x

$-$

axis, and a component

of

$1$

$0$

$$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