If a layer of liquid is placed on top of a vertically oscillating piston, a pattern of standing waves appears which oscillates at half the driving frequency, given certain criteria of wineglass that is ringing like a bell.
12.
This continuous gating of the external field in and out of the sense winding induces a signal in the sense winding, whose principal frequency is twice that of the drive frequency, and whose strength and phase orientation vary directly with the external field magnitude and polarity.
13.
The general solution is a sum of a transient solution that depends on initial conditions, and a steady state that is independent of initial conditions and depends only on the driving amplitude \, \ ! F _ 0, driving frequency, \, \ ! \ omega, undamped angular frequency \, \ ! \ omega _ 0, and the damping ratio \, \ ! \ zeta.
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