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This course develops the moment of inertia matrix for a rigid body with continuous mass distribution, including frame transformations and the physical significance of principal axes. A MATLAB example demonstrates finding the principal moments, principal axes, and principal-axis frame.
Syllabus
Rigid body dynamics, continuous mass distribution.
Moment of inertia matrix entries, integral over body.
Principal axis frame -- easiest, most natural, rigid body frame.
Transforming moment of inertia matrix between frames.
MATLAB example of finding principal axis frame.
Principal axes physical significance.
Taught by
Ross Dynamics Lab