Magnitude of a Resultant Force Vector
Easyvectorsresultant
Two forces act at a point: F₁ = 3i + 4j kN and F₂ = −1i + 2j kN. The magnitude of their resultant is most nearly:
- A4.47 kN
- B6.32 kN
- C7.24 kN
- D8.00 kN
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Answer: B. 6.32 kN
Equation: R = F₁ + F₂ component by component; |R| = √(Rx² + Ry²). Values: F₁ = (3, 4) kN, F₂ = (−1, 2) kN. Step 1: Rx = 3 − 1 = 2, Ry = 4 + 2 = 6. Step 2: |R| = √(4 + 36) = 6.32 kN. 7.24 kN adds the magnitudes; 4.47 kN subtracts the vectors; 8.00 kN adds all components.
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