In my past life as a
Cornell undergraduate my mind was almost always being occupied with one
mechanics problem or another. They
were all esoteric in nature and although I was able to “figure them out” to
my own satisfaction, they never amounted to any more than just brain exercises.
One such exercise has to do with the moment of inertia for rigid bodies [pdf]
and was inspired by a lecture on the topic in TAM 203 – Introduction to
Dynamics.
In Fall of my senior year, our TAM 570 – Intermediate Dyamics class was assigned the task of deriving the equations of motion for a rolling (Euler) disk on a flat, no-slip surface using two different methods. I chose the Newton-Euler method and Lagrange’s equations with undetermined multipliers for my analysis. The report also includes a stability analysis and MATLAB code for three-dimensional animation based on any prescribed set of initial conditions. [pdf]
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Updated August 14, 2006