MOOC

Lagrangian Mechanics

Description

Lagrange's formalism enables us to efficiently solve complex mechanical problems. It also provides a more fundamental insight into conservation laws (Noether's theorem). To illustrate Lagrange's method, we'll look at the all-important problem of coupled harmonic oscillators, expressed as a problem of eigenvalues and eigenvectors. We end with a formalism for analyzing parametric resonances, illustrated by an experiment showing the stability of a forced inverted pendulum.

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