In this chapter, the most widespread forms of differential equations of particle motion are presented, key theorems of particle dynamics are proved, and the conservative force field is studied. Further on, the derivation of Lagrange equations of the second kind and canonical equations for a particle makes it possible to generalize them to the motion of a system of mass points with the help of the notion of representation point. The main cases of oscillatory motion of a particle, those of motion of a particle subject to central forces as well as dynamics of the particle relative motion are analyzed in detail.

Original languageEnglish
Title of host publicationFoundations in Engineering Mechanics
PublisherSpringer Nature
Pages73-141
Number of pages69
DOIs
StatePublished - 2021

Publication series

NameFoundations in Engineering Mechanics
ISSN (Print)1612-1384
ISSN (Electronic)1860-6237

    Scopus subject areas

  • Mechanics of Materials
  • Mechanical Engineering

ID: 87274099