Location
CoLab, COM 100
Start Date
1-5-2025 8:30 AM
Document Type
Poster
Description
The Euler-Lagrange equation is a mathematical tool that allows us to find functions which minimize certain quantities, such as a path function that minimizes the energy in a system or the distance between two points. This equation is foundational to variational calculus and simplifies many problems arising in physics and engineering. In this poster we will do a simple derivation of the equation before demonstrating its utility in solving physics problems using Lagrangian mechanics.
Image
The Euler-Lagrange Equation
CoLab, COM 100
The Euler-Lagrange equation is a mathematical tool that allows us to find functions which minimize certain quantities, such as a path function that minimizes the energy in a system or the distance between two points. This equation is foundational to variational calculus and simplifies many problems arising in physics and engineering. In this poster we will do a simple derivation of the equation before demonstrating its utility in solving physics problems using Lagrangian mechanics.
Comments
The faculty mentor for this project was Brenda Edmonds, Mathematics.