A particle is subjected to two forces given in Cartesian form: and

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

Problem

A particle is subjected to two forces given in Cartesian form: F⃗1=(5 N)ı^+(2 N)ȷ^\vec F_1=(5\,\text{N})\hat\imath+(2\,\text{N})\hat\jmath and F⃗2=(−3 N)ı^+(4 N)ȷ^\vec F_2=(-3\,\text{N})\hat\imath+(4\,\text{N})\hat\jmath. Determine the xx- and yy-components of a third force F⃗3\vec F_3 that must be applied so the particle remains in translational equilibrium.

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