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Mathematical Requirements (Appendix C)

Resolving a force into components

  • 3 things to know
  • All units

Overview

Recall questions on Resolving a force into components.

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Key term

State the expression for the horizontal component of a force F acting at angle θ to the horizontal.

Key term

In a right-angled triangle, how is the sine of an angle defined?

Key term

What ratio of sides in a right-angled triangle gives the cosine of an angle?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    State the expression for the horizontal component of a force F acting at angle θ to the horizontal.

    Model answer

    F cos θ.

  2. 2

    In a right-angled triangle, how is the sine of an angle defined?

    Model answer

    The sine of an angle equals the opposite side divided by the hypotenuse.

  3. 3

    What ratio of sides in a right-angled triangle gives the cosine of an angle?

    Model answer

    The adjacent side divided by the hypotenuse.

  4. 4

    If you know the hypotenuse and need to find the side adjacent to an angle in a right-angled triangle, which trigonometric ratio would you use?

    Model answer

    Cosine, because cos θ = adjacent / hypotenuse, so adjacent = hypotenuse × cos θ.

  5. 5

    What does the phase of a point on a wave describe, and in what units is it commonly measured?

    Model answer

    Phase describes the position of a point within a wave cycle; it is commonly measured in degrees or radians.

  6. 6

    What is phase difference and in what units can it be measured?

    Model answer

    Phase difference describes how much one wave is ahead of or behind another, measured in degrees or radians.

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