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WAEC Further Mathematics 2015 Question 40

Question 40

Statics

Forces F1 (8 N, 030°) and F2 (10 N, 150°) act on a particle. Find the horizontal component of the resultant force.

  1. A.1.7 N
  2. B.4.5 N
  3. C.9.0 N
  4. D.13.0 N
Show the answer and explanation

Answer: C (9.0 N)

Explanation

The angles are bearings (from north, clockwise). Horizontal (east) components: 8 sin 30° + 10 sin 150° = 4 + 5 = 9.0 N.