Engineering Board Exam Reviewer · Engineering Mechanics · hard
A particle is held in equilibrium by three coplanar forces. Force F1 = 70 N acts at 75° from the positive x-axis, and Force F2 = 80 N acts at 165° from the positive x-axis. What must be the magnitude of the third force, F3, for the particle to remain in equilibrium?
- 150
- 106.3
- 10
- 85.04
Answer
B. 106.3
Solution
For equilibrium, F3 must balance the resultant of F1 and F2. Fx = 18.12 + -77.27 = -59.16 N, Fy = 67.61 + 20.71 = 88.32 N. The magnitude of F3 = sqrt(ΣFx² + Fy2) = 106.3 N (acting opposite to this resultant).
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