Aaron Boyd's Assignment 8

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Revision as of 12:02, 1 November 2010 by Aaron.boyd (talk | contribs)
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I decided to use laplace transforms to solve a pendulum equation. A pendulum with a weight of mass m and a massless rod length L is released from an initial angle . Find a function to determine the angle at any time t. The summation of forces yields Polar coordinates may be easier to use, lets try that. now:


canceling the common mass term and rearranging a bit we get.


You can solve for the same thing from the cartesian coordinates. Taking:



you can arrive at the same answer