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Question

Two equal forces(F) have their resultant equal to either of the forces. Then, at what angle the forces are inclined?

A
45
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B
60
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C
30
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D
120
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Solution

The correct option is D 120
Here ,|A|=F, |B|=F

Magnitude of the resultant vector ,|R|=F

Let the angle between the vectors A and B is θ
Now |R|=A2+B2+2ABcosθ

F=F2+F2+2F2cosθ
F=F2(1+cosθ)

squaring bot sides:
1=2(1+cosθ)
cosθ=12cosθ=cos120
θ=120

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