Engineers can determine properties of a structure that is modeled as a damped spring oscillator, such as a bridge, by applying a driving force to it. A weakly damped spring oscillator of mass 0.242 kg is driven by a sinusoidal force at the oscillator's resonance frequency of 28.9 Hz. Find the value of the spring constant k. k= N/m The amplitude of the driving force is 0.487 N and the amplitude of the oscillator's steady-state motion in response to this driving force is 0.973 m. What is the oscillator's damping constant b? b = kg/s

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O Macmillan Learning
Engineers can determine properties of a structure that is modeled as a damped spring oscillator, such as a bridge, by applying a
driving force to it. A weakly damped spring oscillator of mass 0.242 kg is driven by a sinusoidal force at the oscillator's
resonance frequency of 28.9 Hz. Find the value of the spring constant k.
k =
N/m
The amplitude of the driving force is 0.487 N and the amplitude of the oscillator's steady-state motion in response to this driving
force is 0.973 m. What is the oscillator's damping constant b?
b =
kg/s
Transcribed Image Text:O Macmillan Learning Engineers can determine properties of a structure that is modeled as a damped spring oscillator, such as a bridge, by applying a driving force to it. A weakly damped spring oscillator of mass 0.242 kg is driven by a sinusoidal force at the oscillator's resonance frequency of 28.9 Hz. Find the value of the spring constant k. k = N/m The amplitude of the driving force is 0.487 N and the amplitude of the oscillator's steady-state motion in response to this driving force is 0.973 m. What is the oscillator's damping constant b? b = kg/s
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