Mechanics: Geometric Constraints and Equilibrium Points

This lecture covers the concept of generalized coordinates, constraints, degrees of freedom, equilibrium points, and stability in mechanics. It explains how to describe mechanical systems using coordinates, the impact of constraints on motion, and the determination of equilibrium points. The instructor demonstrates the resolution of equations of motion for systems with multiple degrees of freedom, emphasizing the elegant approach of using polar coordinates. Examples such as the simple pendulum and double pendulum are used to illustrate these concepts.