A sinusoidally varying driving force is applied to a damped harmonic oscillator

Question

A sinusoidally varying driving force is applied to a damped harmonic oscillator of force constant k and mass m. If the damping constant has a value b_1, the amplitude is A_1 when the driving angular frequency equals sqrt {k/m}. In terms of A_1, what is the amplitude for the same driving frequency and the same driving force amplitude F_{max}, if the damping constant is 3(b_1)? In terms of A_1, what is the amplitude for the same driving frequency and the same driving force amplitude F_{max}, if the damping constant is (b_1)/2?

Explanation / Answer

(1/3) A_1 and 2A_1

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