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Journal Articles European Journal of Physics Year : 2009

An approximate and an analytical solution to the carousel-pendulum problem

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Abstract

We show that an improved solution to the carousel-pendulum problem can be easily obtained through a first-order Taylor expansion, and its accuracy is determined after the obtention of an unusable analytical exact solution, advantageously replaced by a numerical one. It is shown that the accuracy is unexpectedly high, even when the ratio length of the pendulum to carousel radius approaches unity.

Dates and versions

hal-02292157 , version 1 (19-09-2019)

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Alexandre Vial. An approximate and an analytical solution to the carousel-pendulum problem. European Journal of Physics, 2009, 30 (5), pp.L75-L78. ⟨10.1088/0143-0807/30/5/L04⟩. ⟨hal-02292157⟩

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