Question

Find the angle between two forces of equal magnitude such that the magnitude of their resultant is equal to either of them?

Answer 1

$\huge\mathcal\colorbox{pink}{{\color{b}{Your Answerr...}}}$

$\green{\textbf{120°}}$

Which means that if both the forces have same magnitude and same resultant then angle between them will be 120°.

$\huge\mathcal\colorbox{pink}{{\color{b}{Explanation}}}$

$\blue{\texttt{Let F be the magnitude of each of th vectors as well as its resultant.}}$

$\purple{\texttt{Using parallelogram law,}}$

$F= \sqrt{ {F}^{2} + {F}^{2} + {2 F }^{2} \cos(θ) }$

$\therefore \: \cos(θ) = \frac{ - 1}{2}$

$\therefore \: θ = 120∘$

$\huge\mathcal\colorbox{pink}{{\color{b}{Hope it helps...}}}$