The y-component of a vector 100N force, making an angle of 30° with the x-axis is:
Correct answer: A. 50N
- A. 50N
- B. 20N
- C. 10N
- D. 80N
Explanation
When a vector makes an angle with the x-axis, we can find its y-component by using trigonometry. In this case, we have a 100N force vector making an angle of 30° with the x-axis. To find the y-component, we can use the formula: y-component = magnitude of the vector * sin(angle) Plugging in the values, we have: y-component = 100N * sin(30°) Using the value of sin(30°) = 0.5, we can calculate: y-component = 100N * 0.5 = 50N So, the y-component of the vector 100N force, making an angle of 30° with the x-axis, is indeed 50N.
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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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