Question

Two forces of equal magnitude are acting at a point in different directions. If one of the vectors is rotated by an angle theta, what is the angle between the two resultants?​

Answer 1

Answer:

It's simple !!!

You've to use a parallelogram law of addition of vectors. For that, we've to lay 2 vectors at a common point & complete the parallelogram. The diagonal of the parallelogram starting from the same common point denotes addition of 2 vectors. You can find the length of this diagonal using some trigonometry. It's the magnitude of the resultant vector which equals :

V =√(V1)^2+(V2)^2+2V1V2*cosθ

Now V1 = V2 = A.

Magnitude of a resultant vector

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