Question

Two equal forces act on a particle; find the angle between them when the square of their resultant is equal to three times their product

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

60º

Step-by-step explanation:

It is given that the two forces are of equal magnitude say f. Resultant force R is related to f as R² = 3f*f

⇒ f² + f² + 2*f*f*cosθ = 3f²

⇒ 2f² + 2f²cosθ = 3f²

⇒ 2f²cosθ = (3-2)f² = f²

⇒ cosθ = 1/2

⇒ θ = 60º

So angle between the two forces is 60º