Question

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 –

• A. $\frac{\sqrt{3}}{4}N$
• B. $\sqrt{3}N$
• C. 0.5 N
• D. 1.5 N

Answer 1

Answer: (C)

0.5 N

Answer 2

To have the resultant force only along y - direction, the x-component must be zero

(1) cos 60⁰ + (–2 sin 30⁰) + x = 0 $\frac{1}{2} - 1 + x = 0$ $x = \frac{1}{2}$