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?