Course Description
This course reviews momentum and energy principles, and then covers the following topics: Hamilton's principle and Lagrange's equations; three-dimensional kinematics and dynamics of rigid bodies; steady motions and small deviations therefrom, gyroscopic effects, and causes of instability; free and forced vibrations of …
This course reviews momentum and energy principles, and then covers the following topics: Hamilton’s principle and Lagrange’s equations; three-dimensional kinematics and dynamics of rigid bodies; steady motions and small deviations therefrom, gyroscopic effects, and causes of instability; free and forced vibrations of lumped-parameter and continuous systems; nonlinear oscillations and the phase plane; nonholonomic systems; and an introduction to wave propagation in continuous systems.
This course was originally developed by Professor T. Akylas.
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Problem Sets
A cart and a rolling disk are connected by a rigid massless link of length L. The disk rolls without slipping. What’s the force in the link? See Problem Set 9. (Figure by Prof. George Haller.)
