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<p><font face="serif">So in class today when I was plotting the
solution for the period of the pendulum it should have been 2
sec. It was not because I gave you the sheet where I was
playing with the Mathematic code which necessitated the use of
the elliptic integrals. In other words, in the sheet I gave
you the initial position was
<math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mfrac><mi>π</mi><mn>2</mn></mfrac><annotation
encoding="TeX"> -\frac{\pi}{2}</annotation></semantics></math></font>
- which is the region where elliptic integrals are required to get
the period correct. If you reduce the angle down to even
<math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mfrac><mi>π
</mi><mn>4</mn></mfrac><annotation encoding="TeX">\frac{\pi}{4</annotation></semantics></math>
you will get a period that is very close to 2 sec. <br>
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<p>We'll play more on Friday. Thanks for being patient.<br>
</p>
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<div class="moz-signature">-- <br>
<b><i>Andrew J. Pounds, Ph.D.</i></b><br>
<i>Professor of Chemistry and Computer Science</i><br>
<i>Director of the Computational Science Program</i><br>
<i>Mercer University, Macon, GA 31207 (478) 301-5627</i></div>
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