If the angle between two forces increases, the magnitude of their resultant:
Correct answer: A. Decreases
- A. Decreases
- B. Increases
- C. Remains unchanged
- D. Decreases and then increases
Explanation
The magnitude of the resultant force in vector addition is given by the formula: R = √(A² + B² + 2ABcosθ), where A and B are the magnitudes of the two forces and θ is the angle between them. As the angle θ increases from 0 to 180 degrees, the cosine of the angle decreases from 1 to -1, thus reducing the value of the resultant force R. Therefore, the magnitude of the resultant decreases as the angle increases.
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About Vectors and Equilibrium
Vectors have magnitude and direction, unlike scalars, and are combined by head-to-tail or parallelogram methods. Work covers rectangular components, equilibrium when the resultant force is zero, the scalar product for work and projections, and the vector product for torque and cross-product direction using the right-hand rule.
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