Physical Applications

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


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
$$\frac{1}{2}m{v^2} - mgl\cos \theta = con\tan t.$$


Physical Application Inertial Frame Complex Potential Polar Equation Real Zero 
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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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