Wize University Physics Textbook (Master) > Force Vectors (Advanced Info)
Vector Addition of 2D Forces (Force Triangle)
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Resolve F1 into components along the u and v axes and determine the magnitudes of these components).
It is easiest to solve these types of problems that use the non-traditional x & y axes (u & v in this case) by building a FORCE TRIANGLE, and then using the law of Sines and Cosines to find the components (of the force along each axis)
Force Triangle: Build using F1, u, and v.
v component: from Law of Sines
v / sin45° = 200 / sin30°
v = 283 lb
u component: from Law of Cosines OR from Law of Sines (now that we have v)
CAREFUL: if you answer for 'v' is incorrect, so will your answer for 'u'. you can use the Law of Cosines to double-check your answer!
u / sin105° = 200 / sin30°
u = 386 lb
(ANS: F1u= 386N, F1v=283N)
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Determine the magnitude and direction of the resultant force measured from the +x axis. Use Θ=30° and T=6 kN.
