Exponential versus linear amplitude decay in damped oscillators

Details Exponential versus linear amplitude decay in damped oscillators Exponential versus linear amplitude decay in damped oscillators

2004-07-14

arxiv.org/abs/physics/0407080v1

Physics

Physics Education

3 pages, 1 figure, accepted in Phys. Teach

Scientific paper

10.1119/1.1814324

We comment of the widespread belief among some undergraduate students that the amplitude of any harmonic oscillator in the presence of any type of friction, decays exponentially in time. To dispel that notion, we compare the amplitude decay for a harmonic oscillator in the presence of (i) viscous friction and (ii) dry friction. It is shown that, in the first case, the amplitude decays exponentially with time while in the second case, it decays linearly with time.

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