Three forces acting on a body are shown in the figure. To have the resultant force only along the…
Three forces acting on a body are shown in the figure. To have the resultant force only along the y-direction, the magnitude of the minimum additional force needed is
$\sqrt{3} \mathrm{~N}$
$0.5 \mathrm{~N}$
$1.5 \mathrm{~N}$
$\frac{\sqrt{3}}{4} \mathrm{~N}$
Solution
Net force along $x$-axis zero.
Let the unknown force be $F$ along $x$-axis
$\begin{aligned}
& \therefore F+1 \sin 30^{\circ}+2 \sin 30^{\circ}-4 \sin 30^{\circ}=0 \\
& \therefore|F|=0.5 \mathrm{~N}
\end{aligned}$
