What is the Magnitude of F2 in a Hinged Beam Torque Problem?

[NoobeAtPhysics]

Homework Statement

The massless bar, hinged at A, is inclined at an angle θ = 28.0° and subjected to horizontal and vertical forces F1 and F2, as shown. If L1 = 2.30 m, L2 = 1.00 m, F1 = 31 N, and the beam is in static equilibrium, what is the magnitude of F2?

Homework Equations

T=Fr

The Attempt at a Solution

sum of forces and torques must be null
forces
F1+Rx=0
F2+Ry=0
torques
F2L2cosθ-F1L2sinθ=0
F2=F1L2sinθ/(L2cosθ)
F2=31*1*sin28/(2.30*cos28)=7.17 N

 

[SteamKing]

Are you sure the torque produced by F1 about point A depends on L2 and not L1?

 

[NoobeAtPhysics]

Thanks