Physical Applications

  • Derek F. Lawden
Part of the Applied Mathematical Sciences book series (AMS, volume 80)

Abstract

Let l be the length of the suspension, g the gravitational acceleration, and m the mass of the bob. Then, if θ is the angle made by the string with the downward vertical and v is the velocity of the bob at any time t, its energy is conserved provided
$$\frac{1}{2}m{v^2} - mgl\cos \theta = con\tan t.$$
(5.1.1)

Keywords

Physical Application Inertial Frame Complex Potential Polar Equation Real Zero 
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

© Springer Science+Business Media New York 1989

Authors and Affiliations

  • Derek F. Lawden
    • 1
  1. 1.University of Aston in BirminghamBirminghamUK

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