Dynamics of Pendulum: Equilibrium and Kinetic Energy

This lecture covers the dynamics of a pendulum, focusing on equilibrium conditions and kinetic energy calculations for different points. The instructor explains the process step by step, from determining the type of constraint to solving for the equilibrium angle. Various equations are derived to analyze the behavior of the pendulum under different conditions, such as fixed and arbitrary points. The lecture also delves into the energy calculations for the material point and the mutual point, emphasizing the use of generalized coordinates. The application of numerical methods is demonstrated to validate the theoretical concepts discussed throughout the lecture.