If the force of magnitude 8 N acts on a body in direction making an angle 30, its X and Y components will be:
Correct answer: C. Fx = 4√3 Fy = 4
- A. Fx = 3√3 Fy = 4
- B. Fx = 4√3 Fy = 8
- C. Fx = 4√3 Fy = 4
- D. Fx = 8 Fy = 4√3
Explanation
Explanation: Fx = Fcosθ = 8cos(30°) = 4 (2) (√3/2./2) = 4√3 Fy = Fsinθ = 8sin(30) = 8 (½) = 4So, Fx = 4√3 and Fy = 4.
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About Rectangular Components
A vector is resolved into perpendicular horizontal and vertical components using trigonometric relations, usually as Ax = A cos θ and Ay = A sin θ when θ is measured from the horizontal. Questions involve signs in different quadrants, reconstructing a resultant from components, and using components to analyse equilibrium.
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