Lagrange I: Hemispherical Slider Example

This lecture presents an example of a ball sliding along a curved rail in the form of arches and semicircles, analyzing the dynamic equations of the system using Lagrange's formalism. The instructor explains the mechanical configuration, coordinates, and constraints, deriving the kinetic and potential energies. The lecture concludes with the determination of the equilibrium position based on the rotation speed, showcasing the relationship between angular velocity and equilibrium point.