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WAEC Further Mathematics 2016 Question 38

Question 38

Statics

A force 10N acts in the direction 060° and another 6N acts in the direction 330°. Find the y-component of their resultant force.

  1. A.(3 + 3√3) N
  2. B.(3 + 5√3) N
  3. C.(5 + 3√3) N
  4. D.(5 + 5√3) N
Show the answer and explanation

Answer: C ((5 + 3√3) N)

Explanation

The y (north) components are 10 cos 60° = 5 and 6 cos 330° = 3√3, so the resultant's y-component is (5 + 3√3) N.