• DocumentCode
    1925523
  • Title

    Mathematical concepts on Classical Mechanics using computational methods

  • Author

    Chávez-Barranco, Serafin ; Enriquez-Caldera, Rogerio ; Martínez-Carballido, Jorge

  • Author_Institution
    Grupo de Instrum., Inst. Nac. de Astrofis., Opt. y Electron., Puebla, Mexico
  • fYear
    2012
  • fDate
    27-29 Feb. 2012
  • Firstpage
    294
  • Lastpage
    299
  • Abstract
    This paper presents a computer aid to conceive fundamental mathematical concepts involved in Classical Mechanics. Such aid is a set of applets that show the use of mathematical tools in the initial stages of the Dynamics of a rigid body. These applets could allow understanding the subject in an interactive graphical way. The general application program includes: i) theoretical information on some beginning topics in Classical mechanics, ii) the use of the interactive applets, iii) the graphical support and iv) different examples to strengthen the involved concepts. The treated topics are: Generalized Coordinates, Quaternions, Reference System Transformation, trajectory determination, the Lagrange Method and the moments of inertia tensor.
  • Keywords
    classical mechanics; computational geometry; computer animation; data visualisation; object-oriented programming; Lagrange method; application program; classical mechanics; computational methods; fundamental mathematical concepts; generalized coordinates; graphical support; interactive applets; interactive graphical way; mathematical tools; moments of inertia tensor; quaternions; reference system transformation; rigid body dynamics; trajectory determination; Computers; Mathematical model; Quaternions; Tensile stress; Trajectory; Vectors; Visualization;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Electrical Communications and Computers (CONIELECOMP), 2012 22nd International Conference on
  • Conference_Location
    Cholula, Puebla
  • Print_ISBN
    978-1-4577-1326-2
  • Type

    conf

  • DOI
    10.1109/CONIELECOMP.2012.6189927
  • Filename
    6189927