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JAMB Physics 1990 Question 3

Question 3

Equilibrium of Forces

Two horizontal forces, 10 N and 8 N and another force F1 inclined at 30° to the vertical acting as shown in the diagram above, keep the body P in equilibrium. The weight of the body is

Diagram for this question
  1. A.2√3/3 N
  2. B.√3 N
  3. C.4√3/3 N
  4. D.2√3 N
Show the answer and explanation

Answer: D (2√3 N)

Explanation

Horizontally, F1 sin 30° must make up the 2 N difference, so F1 = 4 N. Vertically the weight equals F1 cos 30° = 4 × (√3/2) = 2√3 N.