Q. Four concurrent coplanar forces in newton are acting at a point and keep it in equilibrium figure. Then values of $F$ and $\theta$ are

A) 1 N, 60${^\circ}$
B) 2 N,$\ 60{^\circ}$
C) $\sqrt{2}$ N,90${^\circ}$
D) 2 N, 90${^\circ}$
Explanation

(d) In equilibrium position along $y$-direction
2 sin 60${^\circ}$ $= \sqrt{3} + F\cos\theta$
or $2 \times \frac{\sqrt{3}}{2} = \sqrt{3} + F\cos\theta$ or $F\cos\theta = 0$
As $F \neq 0$
$\therefore\ \cos\theta = 0$ or $\theta = 90{^\circ}$
Along $x$-direction, $F\ \sin 90{^\circ} = 1 + 2\cos 60{^\circ}$
$= 1 + 2 \times \frac{1}{2}$
$F = 2$N

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.