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Damped mass spring system oscillates at 205 Hz. The time constant of the system is 6.6s. At t=0 the amplitude of oscillation is 4.7 cm and the energy of the oscillating system is 26J. What is the amplitude of oscillation at t=9.9s? Answer in units of cm

please help

  • physics -

    y = .047 e^-(t/6.6)cos (410 pi t)

    But all we need is e^ -(9.9/6.6)
    = .223
    and
    .223*4.7 = 1.05 cm

  • physics -

    thank you very much

  • physics -

    d

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