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WAEC Further Mathematics 2020 Question 19

Question 19

Statics

Given that F = 3i − 12j, R = 7i + 5j and N = pi + qj are forces acting on a body, if the body is in equilibrium, find the values of p and q.

  1. A.p = −10, q = 7
  2. B.p = −10, q = −7
  3. C.p = 10, q = −7
  4. D.p = 10, q = 7
Show the answer and explanation

Answer: A (p = −10, q = 7)

Explanation

In equilibrium F + R + N = 0, so N = −(10i − 7j) = −10i + 7j: p = −10, q = 7.