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Question 30235
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Laws of Motion and Friction: Normal Force — Wedge MCQ

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Normal Force — WedgeHardQuestion 30235

Question

A block rests on a rough incline of angle 45°. If the block is in equilibrium, which of the following correctly states the forces?
  1. A
    N = mg and f = 0
  2. B
    N = mg cos45°, f = mg sin45°
    Correct
  3. C
    N = mg, f = mg tan45°
  4. D
    N = f = mg

Correct answer

N = mg cos45°, f = mg sin45°

Explanation

Perpendicular to incline: N = mg cos45°. Along the incline: f = mg sin45°. At 45°, N = f = mg/√2.

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