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A damped mass-spring oscillator loses 2% of its energy during each cycle. (a) The period is...

A damped mass-spring oscillator loses 2% of its energy during each cycle.

(a) The period is 3.0 s, and the mass is 0.50 kg. What is the value of the damping constant?

(b) If the motion is started with an initial amplitude of 0.92 m, how many cycles elapse before the amplitude reduces to 0.75 m?

(c) Would it take the same number of cycles to reduce the amplitude from 0.75 m to 0.50 m? No calculations are needed for this part of the problem. (Pick Yes/No)

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