Answered: A) Show that for the damped spring –…

A) Show that for the damped spring – mass system , the peak amplitude occurs at a frequency ratio given by: ( / w„) = /1- 2? %3D

Electrical Transformers and Rotating Machines

4th Edition

ISBN:9781305494817

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter13: Harmonics

Section: Chapter Questions

Problem 1RQ

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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

A) Show that for the damped spring – mass system , the peak
amplitude occurs at a frequency ratio given by:
( 0 /@„) = /1– 2 7?

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