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Q. Two equal forces act at a point inclined to each other at an angle of $60^{\circ}$. The magnitude of their resultant is:

Motion in a Plane

Solution:

Let the two forces each of magnitude A then the resultant is
$R=\sqrt{A^{2}+A^{2}+2 A \times A \times \frac{1}{2}}$
$=\sqrt{2 A^{2}+A^{2}}=\sqrt{3 A^{2}}$
$R =\sqrt{3} A$