Engineering Board Exam Reviewer · Engineering Mechanics · medium
Two concurrent forces, F1 = 105 N and F2 = 90 N, act on a particle with an angle of 40° between them. What is the magnitude of their resultant force?
- 195
- 15
- 176.84
- 183.31
Answer
D. 183.31
Solution
Using the law of cosines for two concurrent forces: R = sqrt(F1² + F22 + 2 · F1 · F2 · ( )) = sqrt(105² + 902 + 2(105)(90) (40°)) = 183.31 N.
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