A lightweight junction in a plane is pulled by two forces: • directed along the…

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

Problem

A lightweight junction in a plane is pulled by two forces: •

\vec F_1 = 80\,\text{N}

directed along the positive

x

-axis. •

\vec F_2 = 60\,\text{N}

directed along the positive

y

-axis. A third force

\vec F_3

with fixed magnitude

100\,\text{N}

must be applied so that the junction remains at rest. Determine the direction of

\vec F_3

, expressed as an angle measured counter-clockwise from the positive

x

-axis.