Question: A damped massspring system oscillates at 200 Hz. The time constant of the system is 2.0 s. At t = 0, the amplitude of oscillation

A damped mass–spring system oscillates at 200 Hz. The time constant of the system is 2.0 s. At t = 0, the amplitude of oscillation is 6.0 cm and the energy of the oscillating system is then 60 J.

(a) What are the amplitudes of oscillation at t = 2.0 s and t = 4.0 s?

(b) How much energy is dissipated in the first 2-s interval and in the second 2-s interval?

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