Derive the expression for the tension required in a simply supported transmission line modeled as a string

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Derive the expression for the tension required in a simply supported transmission line modeled as a string of length \(l\) and linear density \(ho\), such that its fundamental frequency for transverse vibration is \(f_{1}\). What is the value of the tension where \(l=20\) \(\mathrm{m}, ho=5 \mathrm{~kg} / \mathrm{m}\), and \(f_{1}=15 \mathrm{~Hz}\) ?

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Mechanical Vibration Analysis, Uncertainties, And Control

ISBN: 9781498753012

4th Edition

Authors: Haym Benaroya, Mark L Nagurka, Seon Mi Han

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