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The resultant of two forces and is a force of . If the direction of force were reversed, the resultant would be . The value of is:

  1. A
  2. B
  3. C
  4. D

Solution & Step-by-step Explanation

image
Let the angle between and be .Resultant . $
3\,\text{N} 180^\circ - \theta (\sqrt{19})^2 = P^2 + 3^2 + 2(P)(3) \cos(180^\circ - \theta)
$19 = P^2 + 9 - 6P \cos\theta \implies 10 = P^2 - 6P \cos\theta \dots(2)
Adding (1) and (2):

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The resultant of two forces and is a force of . If the direction of force were reversed, the resultant would be . The value of is:
A
B
C
D

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