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Hamilton’s Principle

  • Reinhardt M. Rosenberg
Part of the Mathematical Concepts and Methods in Science and Engineering book series (MCSENG)

Abstract

If a particle P r of mass m r moves with velocity r relative to an inertial reference frame, the quantity
$${T^r = {\frac {1}{2}} m_r {\dot x^r} \cdot {\dot x^r} } = {{\frac {1}{2}} m_r ({\dot x^r})^2 }$$
(10.1.1)
is called its kinetic energy.

Keywords

Nonholonomic System Virtual Displacement Rest Point Holonomic System Applicable Form 
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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Copyright information

© Plenum Press, New York 1977

Authors and Affiliations

  • Reinhardt M. Rosenberg
    • 1
  1. 1.University of CaliforniaBerkeleyUSA

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