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The Driven Pendulum at Arbitrary Drive Angle

物理教育 2015-06-26 v3 经典物理

摘要

We discuss the equation of motion of the driven pendulum and generalize it to arbitrary driving angle. The pendulum will oscillate about a stable angle other than straight down if the drive amplitude and frequency are large enough for a given drive angle. The emphasis is on the parameters associated with a simply made demonstration apparatus.

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引用

@article{arxiv.physics/0211047,
  title  = {The Driven Pendulum at Arbitrary Drive Angle},
  author = {Gordon J. VanDalen},
  journal= {arXiv preprint arXiv:physics/0211047},
  year   = {2015}
}

备注

v1: 32 pages, 25 figures submitted to the American Journal of Physics. v2: 22 pages, 16 figures, after initial review. v3: 19 pages, 12 figures, accepted by the American Journal of Physics. After it is published it will be found at http://ojps.aip.org/ajp