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29. Damped Driven Oscillators - Galileo and Einstein

29. Damped Driven Oscillators - Galileo and Einstein

29. Damped Driven Oscillators - Galileo and Einstein

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• As the damping is<br />

further increased, the<br />

period lengthens until<br />

at b 2 = 4mk it becomes<br />

infinite, <strong>and</strong> the<br />

amplitude decays<br />

exponentially.<br />

• (Actually, in this one case a<br />

prefactor A + Bt is needed to<br />

match initial conditions—we’ll<br />

ignore this minor refinement.)<br />

Critical Damping

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