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# Three forces acting on a body as shown. To have resultant force only along y-direction, the magnitude of the minimum additional force needed is

$a)\; \sqrt {3}\; N \\ b)\; 0.5 \;N \\ c)1.5 \;N \\d) \large\frac{\sqrt 3}{4}\;N$

F required ={-x component of the resultant force}
$\bar F$ required $=-[-i+\large\frac{1}{2}$$i] \qquad=\large\frac{1}{2}$$i$
$\qquad=0.5 \;N$
Hence b is the correct answer.

edited Feb 10, 2014 by meena.p