Explore the application of Lagrange multipliers to analyze the motion of a disk rolling down an inclined plane in this 18-minute physics tutorial. Learn how to derive the equation of motion and determine the force of constraint for a disk with mass m and radius R on an incline angled alpha above the horizontal. Gain valuable insights into second-semester classical mechanics concepts and problem-solving techniques. Part of the comprehensive Second Semester Classical Mechanics playlist, this video offers a deep dive into advanced physics principles, perfect for students and enthusiasts looking to enhance their understanding of Lagrangian mechanics and constrained motion.