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  4. <img class=img-fluid question-image alt=image src=https://cdn.tardigrade.in/img/question/physics/e363ee941b1cd49b0831a3804b0751ac-.jpeg /> 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

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Q. image
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

AIPMTAIPMT 2008Laws of Motion

Solution:

image
Taking x-components, the total should be zero.
$1\times \cos 60^{\circ}+ 2 \cos 60^{\circ} + x-4 \cos 60^{\circ} = 0$
$\therefore x= 0.5\, N$