Introduction To The Lagrange Multiplier Method

An introductory video on the use of the Lagrange Multiplier Method to derive the equations of motion for the simple pendulum using a constrained optimization approach.

A COUPLE OF TYPOS TO NOTE:
The 2nd term of Equation 8 should have a + sign. It should be + g/l sin θ.

Equations of Motion for the Simple Pendulum:
   • Equation of Motion for the Simple Pen...  

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0:00 Introduction
1:46 Modeling the simple pendulum using Lagrange's equations
4:41 Constrained optimization problems
5:24 Modeling the simple pendulum using the Lagrange Multiplier Method
11:00 What is the Lagrange multiplier?
17:19 Summary of the Lagrange Multiplier Method
18:15 Quick recap