Two equal forces have their resultant equal to either. What is the inc – InterviewSolution

1.

Two equal forces have their resultant equal to either. What is the inclination between them?

Answer»

\(Given,|\vec A +\vec A |= |\vec A|\)

⇒ \(\sqrt {A^2 +A^2 +2A.A.cos \theta}\) = A

⇒ 2A² (1 + cosθ) = A²

⇒ 1 + cosθ = \(\frac{1}{2}\)

⇒ cosθ = \(\frac{-1}{2}\)

⇒ θ = 120°

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