Explore the intricacies of Hamiltonian mechanics through a 31-minute video lecture that delves into the motion of a mass constrained to a frictionless vertical cone surface under uniform gravity. Learn how to derive and analyze the Hamiltonian for this system, gaining valuable insights into advanced classical mechanics concepts. Enhance your understanding by examining the provided Python code, which offers a practical implementation and visualization of the problem. Ideal for physics students and enthusiasts seeking to deepen their knowledge of analytical mechanics and its applications to complex geometric constraints.