As shown, a truss is loaded by the forces P$1$

$=510$ lb

and P$2$

$=195$ lb

and has the dimension a

$=9\mathrm{.}20$ ft

$.$

The figure shows truss A G H E in the form of an isosceles trapezoid. Horizontal members A B$,$ B C$,$ C D$,$ and D E$,$ from left to right, form the base of the truss. Horizontal member G H forms the top of the truss. They are connected by vertical members, B G and D H$,$ and slanting members, A G$,$ C G$,$ C H$,$ and E H$.$ Members A B$,$ D E$,$ G H$,$ B G$,$ and D H have the same length, lower a$.$ Members B C and C D have the same length, lower a halved. Joint A is pin supported. Joint E is roller supported on a horizontal surface. Force P subscript $1$ acts vertically downward at joint G$.$ Force P subscript $2$ acts horizontally leftward at joint H$.$ The x axis is horizontally rightward. The y axis is vertically upward.

Determine FCG

and FGH

$,$ the magnitudes of the forces in members CG and GH$,$ respectively, using the method of sections. Assume for your calculations that each member is in tension, and include in your response the sign of each force that you obtain by applying this assumption. Part B

As shown, a truss is loaded by the forces $P_1=510lb$ and $P_2=195lb$ and has the dimension $a=9\mathrm{.}20ft.$

Determine $F_{CG}$ and $F_{GH},$ the magnitudes of the forces in members $CG$ and $GH,$ respectively, using the method of sections. Assume for your calculations that each member is in tension, and include in your response the sign of each force that you obtain by applying this assumption.