WAEC Further Mathematics 2019 Question 39

Question 39

Statics

A uniform beam, PQ, is 100 cm long and weighs 35 N. It is placed on a support at a point 40 cm from P. If weights of 54 N and F N are attached at P and Q respectively in order to keep it in a horizontal position, calculate, correct to the nearest whole number, the value of F.

  1. A.69
  2. B.60
  3. C.35
  4. D.30
Show the answer and explanation

Answer: D (30)

Explanation

Moments about the support: 54 × 40 = 35 × 10 + F × 60, so 60F = 1810 and F ≈ 30.