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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11386/4726016
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