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JAMB Physics 1997 Question 9

Question 9

Equilibrium of Forces

For what value of θ are the forces in the diagram above in equilibrium?

Diagram for this question
  1. A.15°
  2. B.30°
  3. C.45°
  4. D.60°
Show the answer and explanation

Answer: D (60°)

Explanation

The 12 N string must balance the 6 N downward force vertically: 12 cos θ = 6, so cos θ = 0.5 and θ = 60°. Check: 12 sin 60° = 6√3 N balances the horizontal force.