An organization of classical particle mechanics

✍ Scribed by R.M. Rosenberg

• Publisher: Elsevier Science
• Year: 1982
• Tongue: English
• Weight: 926 KB
• Volume: 313
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(82)90035-7

✦ Synopsis

Certain techniques, concepts and methods used to model and analyze the motion of massive bodies under forces are not admissible under the Newtonian axioms. Among them are: forces acting on massless components rather than on particles, using the so-called free-body diagram technique, and the existence of infinite forces of bounded impulse. Moreover, modeling physical space by Euclidean 3-space introduces some basic dificulties which are usually silently ignored. We propose here an organization of classical particle mechanics which provides the additional axioms and defined terms needed to legitimize the mathematical models and methods presently used in the analysis of Newtonian systems.

The mathematical model of a prototype is its image in the domain of classical particle mechanics.