## Mathematics & Science
Learning Center |
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## Applications of Differential Equations## The Simple Pendulum
Your As we saw earlier in the frictionless model, for small values of Your Here we get a big difference between the two solutions. The reason, of
course, is that the The actual solution indicates that the angle
achieved by the pendulum is as high as about 14.2 radians, or 814 degrees, and
then it started oscillating about 12.6 radians or so. The 814 degree angle
would indicate that the pendulum swung around about Both models nicely exhibit the presence of friction in that their amplitudes
get smaller and smaller as time goes by. Such motion is described as
You're now finished with this laboratory. You can now quit altogether, go back and start over, or go to the general table of contents for all of the laboratories. |
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ODE Laboratories: A Sabbatical Project by Christopher A. Barker©2017 San Joaquin Delta College, 5151 Pacific Ave., Stockton, CA 95207, USA e-mail: cbarker@deltacollege.edu |