Principle of Least ActionCovers the principle of least action, Euler-Lagrange equations, Lagrange multipliers, and variational calculus.
Kinetic Energy: Work and ForcesExplores kinetic energy, work, forces, and energy conservation in mechanical systems, with examples of collisions and circular motion.
Constraints and LagrangeCovers constraints, Lagrange equations, generalized coordinates, cyclic coordinates, conservation laws, and Hamilton formalism.
Lagrange MethodCovers the Lagrange method for expressing constraints and degrees of freedom in mechanics using generalized coordinates.
Lagrange II: Principle of D'AlembertExplores the Principle of D'Alembert and perfect constraints in mechanical systems, demonstrating their application through examples like the simple pendulum.
Work and EnergyExplores work, kinetic energy, forces, and energy conservation in mechanical systems.
Work and Energy: MechanicsExplores work in mechanics, kinetic and potential energy, conservative forces, and the conservation of mechanical energy.