1. Find the x and ycomponents of both forces.
2. Add the x and ycomponents separately.
3. Find the total force (magnitude and direction).
1. F_{1x} = 230 cos(125) F_{1y} = 230 sin(125)
F_{2x} = 175 cos(60) F_{2y} = 175 sin(60)
2. F_{x} = 44.4 N F_{y} = 340. N
3. F = sqrt (44.4² + 340²) = 343 N,
θ = tan^{1}(340/44.4) = 82.6°+180° = 97.4°
This is the resultant force. The equilibrant force has the same magnitude but opposite direction:
F = 343 N, θ = 97.4°+180° = 277°
You should draw a picture and verify this result graphically (tiptotail rule).
1/27/2014

Andre W.