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Prove that the maximum speed (Vmax) of a mass on a a spring is given by 2(pi)fA.

where f = frequency and A =Amplitude

We are given such formulas as:

f=[1 / 2(pi)]square_root (k /m) or

f=[1 / 2(pi)]square_root (a /-x)

the formula for total energy in a system (1/2*m*vsquared + 1/2*k*xsquared)

When I try to do it, I try to rearrange the formulas and get stuck in a giant maze of variables and such.

This question was asked before on this forum as part of another question but was never answered

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# Homework Help: Harmonics Question; prove that v max of a mass on a spring is given by 2 pi f A

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