$(30$ PTS$)$ Given the truss shown in the figure below:

a$.$ Complete the overall free body diagram for the truss by drawing ALL the reaction forces at A and $\backslash ($ H $\backslash ).\backslash ($ A $\backslash )$ is a roller and $\backslash ($ H $\backslash )$ is a pin.

b$.$ Determine the reactions at supports A and H $.$

c$.$ Find all the zero force members, if any.

d$.$ Use the Method of Sections to determine the force in members DF$,$ EF and EG and state if the member is in tension or compression. Draw the FBD of the section.

e$.$ Use the Method of Joints to determine the force in members DE and DB and state if the member is in tension or compression. Draw the FBD of the joint$($s$).$