If a force of 10N makes an angle of 30° with x-axis, its x-component is given by:
Correct answer: D. 8.66N
- A. 0.866N
- B. 0.886N
- C. 89.2N
- D. 8.66N
Explanation
When a force of 10N makes an angle of 30° with the x-axis, we can find its x-component using trigonometry. The x-component represents the magnitude of the force in the x-direction. To calculate the x-component, we can use the formula: F_x = F * cos(θ) In this case, the force F is 10N and the angle θ is 30°. Plugging these values into the formula, we get: F_x = 10N * cos(30°) F_x ≈ 8.66N So, the x-component of the force is approximately 8.66N.
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