Work, Power, Energy, Equilibrium

This lecture covers the concepts of work, power, energy, equilibrium, and stability in the context of mechanics. Starting with the definition of instantaneous power, it delves into the work done by a force, kinetic energy, conservative forces, potential energy, and the conservation of mechanical energy. Examples such as the mathematical pendulum are used to illustrate these concepts. The lecture also explores the work done by gravitational and spring forces, emphasizing the dependence on positions. Additionally, it discusses friction forces, both static and dynamic, and the work done by viscous friction forces. The importance of considering the trajectory and the time equation in calculating these works is highlighted.