We study the motion of a spring–magnet system that oscillates with very low
frequencies above a circular horizontal non-magnetizable conductive plate.
The magnet oscillations couple with the plate via the Foucault currents induced
therein. We develop a simple theoretical model for this magneto-mechanical
oscillator, a model that leads to the equation of a damped harmonic oscillator,
whose weak attenuation constant depends upon the system parameters, e.g. the
electrical conductivity of the constituent material of the plate and its thickness.
We present a set of validating experiments, the results of which are predicted
with good accuracy by our analytical model. Additional experiments can be
performed with this oscillating system or its variants. This oscillator is simple
and low-cost, easy to assemble, and can be used in experiments or project works
in physics teaching laboratories at the undergraduate level.
We study the motion of a spring–magnet system that oscillates with very low
frequencies above a circular horizontal non-magnetizable conductive plate.
The magnet oscillations couple with the plate via the Foucault currents induced
therein. We develop a simple theoretical model for this magneto-mechanical
oscillator, a model that leads to the equation of a damped harmonic oscillator,
whose weak attenuation constant depends upon the system parameters, e.g. the
electrical conductivity of the constituent material of the plate and its thickness.
We present a set of validating experiments, the results of which are predicted
with good accuracy by our analytical model. Additional experiments can be
performed with this oscillating system or its variants. This oscillator is simple
and low-cost, easy to assemble, and can be used in experiments or project works
in physics teaching laboratories at the undergraduate level.
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