riseofphoenix
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So if Period is the only thing that isn't dependent on amplitude, then that must mean
Energy (PE = 1/2 k A2), maximum acceleration, and speed is dependent on amplitude?
Are these three things DEPENDENT on Amplitude?
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So if Period is the only thing that isn't dependent on amplitude, then that must mean
Energy (PE = 1/2 k A2), maximum acceleration, and speed is dependent on amplitude?
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riseofphoenix said:
So if Period is the only thing that isn't dependent on amplitude, then that must mean
Energy (PE = 1/2 k A2), maximum acceleration, and speed is dependent on amplitude?
Yes.
ehild
cmmcnamara
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If you examine the equations governing simple harmonic motion, you'll notice that all functions have the amplitude as a constant multiplying factor. Since the process of maximization of any of these equations is independent of A (because it's a constant multiple), the relationship between the maximum velocity or acceleration is direct therefore making them dependent on the chosen value of A. Likewise, you can see a parabolic relation exists directly from the potential energy function described in terms of amplitude.