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Given the vectors below, determine the resultant and the equilibrant using trigonometry.

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2 Answers

1. Find the x- and y-components of both forces.
2. Add the x- and y-components separately.
3. Find the total force (magnitude and direction).
 
1.    F1x = 230 cos(125)     F1y = 230 sin(125)
       F2x = 175 cos(60)       F2y = 175 sin(60)
2.    Fx = -44.4 N                Fy = 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 (tip-to-tail rule).
Hi Meg;
Andre is correct.  I apologize.