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The maximum kinetic energy of a mass-spring system in SHM is equal to

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    (1/2) m Vmax^2

    if x = a sin w t
    v = a w cos wt
    Vmax = a w

    a is amplitude
    w is circular frequency = 2 pi f

    Ke max = (1/2) m (a^2 w^2)
    = 2 pi^2 m a^2 f^2

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