Equations of Motion and Stability

This lecture covers the resolution of equations of motion for a mathematical pendulum using polar coordinates, the concept of equilibrium points, and the stability analysis around these points. The instructor demonstrates the application of Newton's laws in polar coordinates, the determination of equilibrium points, and the assessment of stability through small perturbations. The lecture emphasizes the importance of constraints in reducing the degrees of freedom of a system and determining the number of generalized coordinates needed to describe the system uniquely.