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This lecture covers the concepts of potential energy, mechanical energy, and resonance. It explains the work done by conservative forces, equilibrium, stability, and the phenomenon of resonance in mechanical systems. The instructor, Dr. Sylvain Bréchet, discusses the transformation of energy between potential and kinetic forms, as well as the conditions for the existence of potential energy. Various examples, such as the Wilberforce pendulum and the mathematical pendulum, are used to illustrate these concepts.
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