Question

Five forces $2N,\sqrt{3}N,5N,\sqrt{3}$ and $2N$ respectively and at a [article $P$ as shown in the figure. The resultant force on the particle $P$ is

• A. $10N$ making angle ${60}^{\circ }$ with $X-$axis
• B. $10N$ making angle ${60}^{\circ }$ with $Y-$axis
• C. $20N$ along $Y-$ axis
• D. none of these

Answer 1

The correct option is A $10N$ making angle ${60}^{\circ }$ with $X-$axis

$\begin{array}{c}\overrightarrow{R}=\left(2\times 2\cos \frac{{120}^{\circ }}{2}+2\sqrt{3}\cos \frac{{60}^{\circ }}{2}+5\right)N,{60}^{\circ }withx-axis\\ =10N,makinganangle{60}^{\circ }withx-axis.\end{array}$