Three forces act simultaneously on a small object located at the origin of an…

PHYSICS · Subjective · AP · Physics 1: Algebra-based · Kinematics · Kinematics

Problem

Three forces act simultaneously on a small object located at the origin of an

x y z

coordinate system. •

\vec F_1

has magnitude

120\,\text{N}

and is directed along

2\hat\imath + 3\hat\jmath - 2\hat k

. •

\vec F_2

has magnitude

80\,\text{N}

and is directed along

-\hat\imath + 4\hat\jmath + 2\hat k

. A third force

\vec F_3

is applied so the object remains in equilibrium. Determine the components of

\vec F_3

in unit-vector notation.