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On the equations of motion of the folded inextensible string

  • W. Steiner
  • H. Troger
Original Papers

Abstract

In a number of excellent, even recently published, books in Theoretical Mechanics the equations of motion of a folded inextensible string, for example to explain the crack of a whip, are derived using either the energy principle, if a system of one degree of freedom is considered, or Lagrange's equations for conservative systems, if a system of more than one degree of freedom is studied. However, it will be shown in this paper that the resulting equations are incorrect because physically a nonconservative system is given. Hence, both methods mentioned above based on energy conservation must not be used. A correct derivation of the equations of motion is given by means of the linear momentum balance.

Keywords

Mathematical Method Energy Conservation Linear Momentum Momentum Balance Conservative System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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Copyright information

© Birkhäuser Verlag 1995

Authors and Affiliations

  • W. Steiner
    • 1
  • H. Troger
    • 1
  1. 1.Technical University ViennaViennaAustria

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