Solve Force in Member HE: Trusses Homework

[jlg]

Homework Statement

Determine the force in member HE for the truss in the figure. All members are length 0.8m except GH.

The Attempt at a Solution

I solved for the reaction forces at G and got Gx = 1039 N , Gy = -1200 N, A = 1800 N. My professor said to then draw a FBD of G and solve for GF. Am I crazy or is that unsolvable because both GH and GF have an x and y component, so I'd be left with something like:

Fx = GFsin + GH sin = 1039
Fy = GFcos + GH cos = -1200

 

[PaintballerCA]

Am I crazy or is that unsolvable because both GH and GF have an x and y component, so I'd be left with something like:

Fx = GFsin + GH sin = 1039
Fy = GFcos + GH cos = -1200

How many unknowns do you have? How many equations do you have? The above system of equations is very solvable.