Needs Complete typed solution with 100 % accuracy Engineers can determine properties of a structure that is modeled as a damped spring oscillator, such as a bridge, by applying adriving force to it. A weakly damped spring oscillator of mass 0.236 kg is driven by a sinusoidal force at the oscillator'sresonance frequency of 28.8 Hz.Find the value of the spring constant k.k =What is the oscillator's damping constant b?The amplitude of the driving force is 0.505 N and the amplitude of the oscillator's steady-state motion in response to this drivingforce is 0.997 m.N/mb =kg/s

At resonance, frequency of oscillation becomes equal to natural frequency.

Answered: Find the value of the spring constant…

Find the value of the spring constant k. The amplitude of the driving force is 0.505 N ar force is 0.997 m. What is the oscillator's damping constant b?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Free Damped Vibrations

Free vibration is a type of vibration in which the external force is removed after giving the initial displacement to a body/system. In other words, in this type of vibration, force is applied at the initial displacement of the system, and after the initial displacement, force is removed, and the system vibrates at the natural frequency.

Question

Needs Complete typed solution with 100 % accuracy

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 0.236 kg is driven by a sinusoidal force at the oscillator's
resonance frequency of 28.8 Hz.
Find the value of the spring constant k.
k =
What is the oscillator's damping constant b?
The amplitude of the driving force is 0.505 N and the amplitude of the oscillator's steady-state motion in response to this driving
force is 0.997 m.
N/m
b =
kg/s

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Step 1: Find the value of the spring constant.

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Step 2: Calculate the frequency ratio.

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Step 3: Find oscillator damping constant using steady state amplitude equation for forced damped vibration.

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