Towards \(F=ma\) in a general setting for Lagrangian mechanics (Q1588819)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Towards \(F=ma\) in a general setting for Lagrangian mechanics |
scientific article; zbMATH DE number 1540536
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Towards \(F=ma\) in a general setting for Lagrangian mechanics |
scientific article; zbMATH DE number 1540536 |
Statements
Towards \(F=ma\) in a general setting for Lagrangian mechanics (English)
0 references
4 December 2000
0 references
Using the jet formalism in infinite-dimensional setting, the author introduces a notion of force, called here Euler-Lagrange 2-force, by making commutative a diagram with respect to the first contact system, and by using Lagrangian mechanics, namely Euler-Lagrange equations. Then the author derives a natural relationship between this generalized inertial force and Cartan two-form, including a class of systems subjected to external forces and constraints. The example of disk rolling upright on a plane is studied in detail.
0 references
jet formalism
0 references
Euler-Lagrange 2-force
0 references
first contact system
0 references
Lagrangian mechanics
0 references
Euler-Lagrange equations
0 references
generalized inertial force
0 references
Cartan two-form
0 references
disk rolling on plane
0 references
