A mass at the end of a spring is undergoing simple harmonic oscillations with amplitude A....
A mass at the end of a spring is undergoing simple harmonic oscillations with amplitude A. a) What fraction of the total mechanical energy is kinetic if the displacement is ⅓ the amplitude? a) In terms of A, find the value of displacement x at which the potential energy equals 1 /16 of the total mechanical energy.
Homework Answers
a) KE = Etotal - PE = kA2/2 - k(A/3)2/2 = (8/9) * Etotal
=> KE / Etotal = 8/9
b) PE = Etotal / 16
=> kx2/2 = kA2/32
=> x = A/4
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A mass at the end of a spring is undergoing simple harmonic
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