Statics/Three-Dimensional Equilibrium

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

Sum of Forces: , ,

Sum of Moments: , ,

To solve three dimensional statics problems:

  • 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.