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WAEC Further Mathematics 2007 Question 40

Question 40

Statics

Three forces F1 = (8N, 300°), F2 = (6N, 090°) and F3 = (4N, 180°) act on a particle. Find the vertical component of the resultant force.

  1. A.2 N
  2. B.10N
  3. C.(4 + 4√3)N
  4. D.(6 − 4√3)N
Show the answer and explanation

Answer: D ((6 − 4√3)N)

Explanation

Vertical components (angles from the positive x-axis): 8 sin 300° = −4√3, 6 sin 90° = 6, 4 sin 180° = 0. Total = 6 − 4√3 N.