Physics/A/String vibration/Energy (simple)

The circles are touching where the spring is in its relaxed state. Compression (expansion) is illustrated with circles that are overlapping (spaced-apart). At low frequency the motion is the distortions are uniform over the length of the spring, with the force at the end being equal to the uniform tension in the spring. The ultimate breakdown occurs when the frequency is increased to the point where the spring's relaxed length () equals , where is the wavelength of a compressional wave associated at the driving frequency. At this point the end of spring is an antinode of the motion, and consequently oscillates with a driving force equal to zero.

An asserted fact.[1](eq.1)

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Another asserted fact.[1](eq.2)

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A third asserted fact.[1](dust jacket)

  1. ↑ 1.0 1.1 1.2 Rowland, David R. "The potential energy density in transverse string waves depends critically on longitudinal motion." European journal of physics 32.6 (2011): 1475.
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