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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:
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- 0.5 N
- 1.5 N
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√3 N 4 - √3 N
Correct Option: A
The components of 1 N and 2N forces along + x axis = 1 cos 60° + 2 sin 30°
| = 1' | + 2' | = | + 1 = | =1.5 N | ||||
| 2 | 2 | 2 | 2 |
The component of 4 N force along –x-axis = 4 sin 30°
| = 4 × | = 2N | |
| 2 |
Therefore, if a force of 0.5N is applied along + x-axis, the resultant force along x-axis will become zero and the resultant force will be obtained only along y-axis.
