The resultant of two equal forces P making an angle 2θ is given by
Answers
Given : two equal forces P making an angle 2θ
To Find : Resultant
Solution:
Resultant = √(A² + B² + 2AB Cosα)
α is the angle between vectors A & B
A = p
B = p
α = 2θ
Hence resultant = √(P² + P² + 2P.PCos2θ )
= √(2P² + 2P²Cos2θ )
= √(2P²(1 + Cos2θ))
= P√2 √(1 + Cos2θ)
1 + Cos2θ = 2Cos²θ
= P√2 √(2Cos²θ)
= P√2√2 . Cosθ
= 2 PCosθ
The resultant of two equal forces P making an angle 2θ is given by
2 PCosθ
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