Three forces acting on a body are shown in figure. To have resultant force only along y- direction,

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3-1.Vectors

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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 ........... $N$

A

$\frac{{\sqrt 3 }}{4}\;$

B

$\;\sqrt 3 $

C

$0.5$

D

$1.5$

(AIPMT-2008)

Solution

Taking $x-$components, the total should be zero.
$1 \times cos 60^o + 2cos 60^o + x – 4cos 60^o = 0$
$x = 0.5\ N$

Standard 11

Physics

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