Three Dimensional Dynamics of Rigid Bodies
Rotational Motion

Everything you wanted to know about spinning objects but were afraid to ask.  Understanding and utilizing the five fundamental formulas given below will help you grasp the motion of virtually any system.  Follow the links and journey into the wonderful rotating world of three dimensional dynamics!

Fundamental Results:

Angular Velocities:  wC/A = wC/B + wB/A

Derivatives of Vectors:   dV/dt|A = dV/dt|B + wB/A X V

Angular Mass is a Matrix:    I

Angular Momentum:   H = I w

Governing Equations:    S F = dG/dt    S M = dH/dt
 
Copyright (1998) by Nels Madsen.  Last Updated: February 28, 1998