The truss below is supported by a pin at A and a roller at $G.$

Show all diagrams and required calculations for full credit.

$($a$)$ Using the method of sections, determine the forces in members EG$,$ EF and DF$.$

$($b$)$ Using the method of joints, determine the forces in members CE$,$ DE$,$ CD and BD$.$

$($c$)$ Identify all zero force members in the truss $($no additional calculations are necessary after completing parts $($a$)$ and $($b$)).$

For all members state if they are in tension or compression. Summarize your results in the table below.

$\backslash$table$[[$MEMBER$,$FORCE,$\backslash$table$[[$TENSION OR$],[$COMPRESSION$]]],[$EG$,,],[$EF$,,],[$DF$,,],[$CE$,,],[$DE$,,],[$CD$,,],[$BD$,,],[\backslash$table$[[$Zero$-$force$],[$members:$]],,]]$