Engineers can determine properties of a structure that is modeled as damped spring oscillator–such as a bridge–by applying a driving force to it. A weakly damped spring oscillator of mass 0.223 kg is driven by a sinusoidal force at the oscillator's resonance frequency of 33.9 Hz. Find the value of the spring constant.

The amplitude of the driving force is 0.480 N and the amplitude of the oscillator's steady-state motion in response to this driving force is 0.864 m. What is the oscillator's damping constant?

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