In this paper we study the small oscillations of a charged pendulum in the electric field generated by a couple of point charges. The complexity of the system makes the use of the Lagrangian formalism very convenient. The effect of an oscillating pivot in the spirit of Kapitza is discussed by introducing a rapidly oscillating forcing term and computing the resulting effective potential. The level of the discussion is suitable for advanced undergraduate students in physics.
The inverted pendulum
De Luca R.Membro del Collaboration Group
;Di Mauro M.
Membro del Collaboration Group
;Naddeo A.Membro del Collaboration Group
2018-01-01
Abstract
In this paper we study the small oscillations of a charged pendulum in the electric field generated by a couple of point charges. The complexity of the system makes the use of the Lagrangian formalism very convenient. The effect of an oscillating pivot in the spirit of Kapitza is discussed by introducing a rapidly oscillating forcing term and computing the resulting effective potential. The level of the discussion is suitable for advanced undergraduate students in physics.File in questo prodotto:
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