Two forces act on a particle in the plane: directed above the +x axis and directed…

PHYSICS · Subjective · AP · Physics 1: Algebra-based · Force and Translational Dynamics · Force and Translational Dynamics

Problem

Two forces act on a particle in the plane:

\vec F_1 = 8\,\text{N}

directed

30^{\circ}

above the +x axis and

\vec F_2 = 5\,\text{N}

directed

60^{\circ}

below the +x axis. Find the magnitude and direction (angle measured from the +x axis) of a single additional force

\vec F_3

that, when applied, will place the particle in translational equilibrium.