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

$)$

$.$