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

230.0 newtons @ 125 degrees
175.0 newtons @ 60.0 degrees

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Andre W. | Friendly tutor for ALL math and physics coursesFriendly tutor for ALL math and physics ...
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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).
Vivian L. | Microsoft Word/Excel/Outlook, essay composition, math; I LOVE TO TEACHMicrosoft Word/Excel/Outlook, essay comp...
3.0 3.0 (1 lesson ratings) (1)
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Hi Meg;
Andre is correct.  I apologize.