Question #e4d6c
1 Answer
Explanation:
We're asked to find the necessary angle between two force vectors so that the resultant vector has a magnitude equal to that of one of the forces.
Let's make the two force vectors have magnitudes
C^2 = A^2 + B^2 - 2ABcostheta
Since the two vector magnitudes
C^2 = 2A^2 - 2A^2costheta
Now, let's find the angle
costheta = (2A^2 - C^2)/(2A^2)
And since the resultant force's magnitude is equal to that of one of the vector magnitudes,
costheta = (2A^2 - A^2)/(2A^2)
costheta = 1/2
color(red)(ulbar(|stackrel(" ")(" "theta = 120^"o"" ")|)
The angle between the two force vectors must be