Brachistochrone and Euler-Lagrange Equation with Variational Calculus

Variational Calculus in Classical Mechanics and the Euler-Lagrange Equation Abstract:In this class, we will review the derivation of the Euler-Lagrange equation of Analytical Mechanics through the use of variational calculus techniques, and from this, we will show in detail its application in solving the Brachistochrone problem. Learning Objectives: By the…