Problem $6.$ The truss below was designed to hang a one$-$of$-$a$-$kind sign that weighs $1000lb.$ The sign

is attached to the truss by two cables at attached at pin $H$ of the truss and a rod that is attached at pin $G$

of the truss; the rod is pin connected at both ends. The truss is attached to the wall by a pin at A and

another cable $($there are $3$ cables at point $H).$ Find the internal force in members $AE,CH,EC,$ and EF$.$