Wize University Statics Textbook (Master) > Force Vectors
Vector Addition of 2D Forces (Components SOHCAHTOA)
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Find the magnitude and direction of the resultant of F1 + F2. Solve using rectangular components (easier than TRIANGLE method)
Write forces in CV form:
F1 = 100cos(15°)i + 100sin(15°)j
= [96.6i + 25.9j] N
F2 = 150sin(10°)i + 150cos(10°)j
= [26i + 147.7j] N
Find resultant force:
Fr = sum i's and sum j's
= 122.6i + 173,6j
Magnitude:
Fr mag = sqrt(122.62 + 173.62) = 213 N
Direction:
Fr dir = angle = tan-1(173.6/122.6) = 54.8°
(ANS: 213 N @ 54.8°)
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Determine the magnitude and direction of the resultant force acting on the bracket. Use Fb = 600N and Θ=20°.
