Lagrangian Mechanics - Bead on a Rotating Hoop

Learn to solve a classical mechanics problem involving a bead on a rotating hoop using Lagrangian mechanics in this 30-minute physics video. Explore the motion of a mass m bead threaded on a frictionless circular wire hoop of radius R, positioned in a vertical plane and rotating at constant angular velocity around its vertical diameter. Follow along with the included Python code implementation to visualize and analyze this fundamental physics problem, which serves as an excellent example for understanding the application of Lagrangian mechanics to constrained motion.