passwella.
Menu

WAEC Further Mathematics 2006 Question 40

Question 40

Statics

ABCD is a square. Forces of magnitude 14N, 4N, 2N and 2√2N act along the sides AB, BC, CD and DA respectively. Find in Newtons the magnitude of resultant of the forces.

  1. A.14.11
  2. B.13.81
  3. C.12.06
  4. D.11.05
Show the answer and explanation

Answer: C (12.06)

Explanation

Take AB along the x-axis. Along x: 14 − 2 = 12; along y: 4 − 2√2 ≈ 1.17. R = √(12² + 1.17²) ≈ 12.06 N.