Question

If the resultant of two forces of F and 2F is √3 the angle between these forces

Answer 1

Answer:

120 degrees

Explanation:

If we evaluate the magnitude of two vectors F1+F2=F, where F1=F2=F, we get (F)2 = F12 +F22 +2(F1) (F2) Because of this (law of cosines)

Put F=1, F1=1, and F2=1 together.

We obtain (1)2 = 12 + 12 + 2(1)(1)cos

Alternatively, -1/2 = Cos

Finally, = Cos inv(-1/2) = 120 deg.