Question

The resultant of two forces acting at an angle of $120^{\circ}$ is $10\, kg$ wt and is perpendicular to one of the forces . That force is .......

• A. $10\sqrt{3}\,kg\,wt$
• B. $20\sqrt{3}\,kg\,wt$
• C. $10 \,kg\, wt$
• D. $\frac {10} {\sqrt{3}}\,kg\,wt $

Answer 1

Answer: (D)

Here, $\tan 30^{\circ}=\frac{1}{\sqrt{3}}$
$\frac{1}{\sqrt{3}}=\frac{x}{10}$
$x=\frac{10}{\sqrt{3}}, kg - wt$