Elliptic Functions and Applications pp 114-148 | Cite as
Physical Applications
Chapter
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
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© Springer Science+Business Media New York 1989