Conserved Quantity

A physical system in three spatial coordinates \((x,y,z)\) is described by the following Lagrangian:

\[\large{L = x^2 \dot{y} + 2 z^3 \dot{x} \, \dot{y}^2 + 3 x \dot{x} \dot{z}} \]

Which quantity must be conserved?

Details and Assumptions:
- The dot convention denotes time differentiation

×

Problem Loading...

Note Loading...

Set Loading...