Question

The maximum and minimum values of resultant of two forces acting at a point are respectively 16 newton and 4 newton. when the 2 forces act at 60 degree with each other what single force must be applied to balance them

Answer 1

Answer:

Since typing all those formulas were getting cumbersome I just solved it on a piece of paper and uploaded it.

For reference,

I have taken vector A=10N, vector B=8N, the angle between vectors A & B as

θ (theta) = 60 degrees.

The resultant vector is C and at an angle ø (phi) with vector A.

Notice another thing. I have taken ø between vector A and C. If I need to know the angle between vector B and C, say angle α (alpha)

or just α = 60 degrees - θ

Hope that helps.