Two forces, each of magnitude F have a res

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Two forces, each of magnitude $F$ have a resultant of the same magnitude $F$. The angle between the two forces is....... $^o$

A

$45$

B

$120$

C

$150$

D

$60$

Two forces, each of magnitude $F$ have a resultant of the same magnitude $F$. The angle between the two forces is....... $^o$

$R = \sqrt {{A^2} + {B^2} + 2AB\cos \theta } $

By substituting, $A = F,\;B = F$ and $R = F$ we get

$\cos \theta = -\frac{1}{2}\therefore \theta = 120^\circ $