Constraints and Lagrange

This lecture covers the concept of constraints and Lagrange equations, emphasizing the use of generalized coordinates. It explains the importance of cyclic coordinates and conservation laws. The instructor demonstrates the application of Lagrange formalism in various coordinate systems, such as Cartesian, polar, and ellipsoidal. The lecture also delves into the Hamilton formalism, highlighting the relationship between generalized speeds and impulses. Additionally, it explores the conservation of quantities and the implications of geometric symmetries in dynamic systems.