Q101 / 199 · NEET 2008 (Mains) · Physics

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 Figure

  • A
    $\sqrt{3} \mathrm{~N}$
  • Correct answer
    B
    $0.5 \mathrm{~N}$
  • C
    $1.5 \mathrm{~N}$
  • D
    $\frac{\sqrt{3}}{4} \mathrm{~N}$

Solution

Net force along $x$-axis zero. Let the unknown force be $F$ along $x$-axis $$ \begin{aligned} & \therefore F+1 \sin 30^{\circ}+2 \sin 30^{\circ}-4 \sin 30^{\circ}=0 \\ & \therefore|F|=0.5 \mathrm{~N} \end{aligned} $$

Hence, the correct answer is option: 'B'.

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