Two horizontal forces act on a small ring

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

Problem

Two horizontal forces act on a small ring. • Force 1: magnitude

10\,\text{N}

directed

30^{\circ}

above the positive

x

-axis. • Force 2: magnitude

8\,\text{N}

directed

120^{\circ}

counter-clockwise from the positive

x

-axis. Determine the magnitude and direction (angle measured counter-clockwise from the positive

x

-axis) of a single additional horizontal force that will keep the ring in static equilibrium.