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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...

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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prob.xlsx

Answer 1 Mass (m) 0.223 Kg
33.9 Hz
Equation 1
Equation 2 Frequency (f) Frequency = w/2∏
w = sqrt (k/m)
k is the spring constant
Solving above equation 1 and 2
k = 4∏2f2m 10125.43 Spring...

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