Chapter 7 Lagrange’s Equations

Classical Mechanics I

Classical Mechanics is Physics I the way that Newton envisioned. It requires a solid understanding of the math courses up through Differential Equations and Linear Algebra. The most important topic in this course is the Lagrangian.

The prerequisites for this course are: Physics II, and Multivariable Calculus

This course is a co- or prerequisite for: Differential Equations

Book resources

Chapter 7 - Lagrange's Equations

Section 7.1 - Lagrange's Equations for Unconstrained Motion

Section 7.2 - Constrained Systems; an Example

Classical Mechanics I

Chapter 7 - Lagrange's Equations

Section 7.1 - Lagrange's Equations for Unconstrained Motion

Section 7.2 - Constrained Systems; an Example

Section 7.3 - Constrained Systems in General

Section 7.4 - Proof of Lagrange's Equations with Constraint

Section 7.5 - Examples of Lagrange's Equations

Section 7.6 - Generalized Momenta and Ignorable Coordinates

Section 7.7 - Conclusion

Section 7.8 - More about Conservation Laws

Section 7.9 - Lagrange's Equations for Magnetic Forces

Section 7.10 - Lagrange Multipliers and Constraint Forces

Chapter 7 - Lagrange's Equations