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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

1. 0.5N
2. 1.5N
3. √3/4 N
4. √3N

Correct answer: √3N

Solution

To ensure the resultant force is only along the y-direction, the x-components of all forces must cancel out. The minimum additional force required is equal to the net x-component of the existing forces, which is √3 N.

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