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WAEC Further Mathematics 2025 Question 31

Question 31

Statics

Two forces F1 (8N, 060°) and F2 (8N, 330°) act on a particle. Calculate the magnitude of the force that will keep the particle in equilibrium.

  1. A.6.00 N
  2. B.7.07 N
  3. C.10.00 N
  4. D.11.31 N
Show the answer and explanation

Answer: D (11.31 N)

Explanation

The bearings 060° and 330° are 90° apart, so the resultant is √(8² + 8²) = √128 ≈ 11.31 N. The equilibrant has the same size.