Title: Nonholonomic and constrained variational methods applied to a rolling disc (30 pages)
Author(s): Julian Christopher
Detail: MSc Thesis, Queen's University

Original manuscript: 2019/05/31

In this project we will discuss some the results from the paper Nonholonomic and constrained variational mechanics of Lewis in a concrete fashion using the example of a disc rolling on a flat plane. This example provides us with a mechanical system that features nonholonomic constraints, while being simple enough for the equations of motion to be written and manipulated within the body of the report. We will also attempt to discuss the geometric context of the objects featured whenever possible, and try to build a strong link between the geometry of the mathematical system and the physicality of the example. It is in this way that we can make the best use of the example in building our intuition about the results of Lewis that we wish to discuss.

366K pdf
Last Updated: Fri Jul 10 08:01:48 2020

Andrew D. Lewis (andrew at mast.queensu.ca)