At a point, two forces act: directed above the positive -axis, and directed at from…

PHYSICS · Subjective · A Level · Physics · Mechanics and materials · Mechanics and materials

Problem

At a point, two forces act: F⃗1=40 N\vec F_1=40\,\text{N} directed 60∘60^{\circ} above the positive xx-axis, and F⃗2=30 N\vec F_2=30\,\text{N} directed at 210∘210^{\circ} from the positive xx-axis (angles measured anticlockwise). Calculate the magnitude and direction (angle with positive xx-axis) of the additional force required so that the resultant force on the point is zero.

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