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WAEC Further Mathematics 2023 Question 35

Question 35

Statics

A uniform beam PQ of length 80 cm and weight 60 N rests on a support at X where |PX| = 30 cm. If the body is kept in equilibrium by a mass m kg which is placed at P, calculate the value of m. [Take g = 10 ms−2]

  1. A.2.0
  2. B.2.5
  3. C.3.0
  4. D.4.0
Show the answer and explanation

Answer: A (2.0)

Explanation

The weight acts at the centre, 40 cm from P, i.e. 10 cm beyond X. Moments about X: 10m × 30 = 60 × 10, so m = 2.0 kg.