Statics/Three-Dimensional Equilibrium

There are six equations expressing the equilibrium of a rigid body in 3 dimensions.

Sum of Forces: $\sum _{}^{}{F}_x=0$, $\sum _{}^{}{F}_y=0$, $\sum _{}^{}{F}_z=0$

Sum of Moments: $\sum _{}^{}{M}_x=0$, $\sum _{}^{}{M}_y=0$, $\sum _{}^{}{M}_z=0$

To solve three dimensional statics problems:

Im mad bc why r there only 5 problems here i need the six specific equilibruim equations for a 3 dimensional system. HELP BRO.

• Resolve force components
• Resolve moments about a point
• Resolve moments about a line or axis. See Scalar Triple Product

Knowing how to find the Determinate of a matrix can help a lot here. Template:Statics:TOC