Physics

Problem

A particle is subjected to two forces given in Cartesian form: $ \vec F_1 = (5\,\text{N})\hat i + (2\,\text{N})\hat j

and

\vec F_2 = (-3\,\text{N})\hat i + (4\,\text{N})\hat j$. Determine the

x

- and

y

-components of a third force

\vec F_3

that must be applied so the particle remains in translational equilibrium.