Learning Goal:

To calculate unknown forces in a three$-$dimensional force system using the equations of equilibrium.

Four forces act on a particle that is in equilibrium as shown in $($Figure $1),$ where $F_3$ and $P$ are in the $xz-$plane. The

magnitude of one force is known to be $P=900N.$

Figure

Part A

Write the equilibrium equation for the forces in the $x-$direction.

Express your answer in terms of $F_1,F_2,F_3,$ and $P.$ Express known forces in N and angles in degrees.

View Available Hint$($s$)$

Part B

Write the equilibrium equation for the forces in the $y-$direction.

Express your answer in terms of $F_1,F_2,F_3,$ and $P.$ Express known forces in N and angles in degrees.

View Available Hint$($s$)$

${\displaystyle \underset{?}{\overset{?}{}}}{F}_y=0=$

Part C

Write the equilibrium equation for the forces in the $z-$direction.

Express your answer in terms of $F_1,F_2,F_3,$ and $P.$ Express known forces in N and angles in degrees.

View Available Hint$($s$)$

${\displaystyle \underset{?}{\overset{?}{}}}{F}_z=0=$