Work, Power, Energy, Equilibrium

This lecture covers the calculation of work done by a force deriving from a potential during an infinitesimal displacement, the concept of power, the definition of conservative and non-conservative forces, the potential energy, and the conservation of mechanical energy. It also explores the behavior of a system under conservative forces, the equilibrium points, and the stability around these points. The instructor demonstrates how to analyze the evolution of a system based on the potential energy function and the conservation of mechanical energy, providing insights into the system's possible evolutions.