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WAEC Further Mathematics 2024 Question 22

Question 22

Statics

A particle of mass 40 kg is kept on a smooth plane inclined at an angle of 30° to the horizontal by a force up the plane. Find, correct to one decimal place, the magnitude of the normal reaction of the plane on the particle. [Take g = 10 ms−2]

  1. A.146.0N
  2. B.200.6N
  3. C.346.0N
  4. D.400.6N
Show the answer and explanation

Answer: C (346.0N)

Explanation

The force acts along the plane, so the normal reaction balances only mg cos 30° = 400 × 0.866 ≈ 346.4 N. The nearest option is 346.0 N.