Determine the longitudinal displacement of a 1 meter long uniform cross-section steel rod with one end fixed and the other end free. What are the first three frequencies related to the longitudinal motion. u (x, t) x (t) Hints: It is necessary to figure out the given boundary conditions from the given information "..one end fixed and the other end free." • The wave speed c can be found as c = where E = 200 GPa is the elastic modulus and p = 7700 kg/m³ is the density of steel.

Determine the longitudinal displacement of a 1 meter long uniform cross-section steel rod with one end fixed and the other end free. What are the first three frequencies related to the longitudinal motion. u (x, t) x (t) Hints: It is necessary to figure out the given boundary conditions from the given information "..one end fixed and the other end free." • The wave speed c can be found as c = where E = 200 GPa is the elastic modulus and p = 7700 kg/m³ is the density of steel.

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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Question

Determine the longitudinal displacement of a 1 meter long uniform cross-section steel rod with one
end fixed and the other end free. What are the first three frequencies related to the longitudinal
motion.
u (x, t)
x (t)
Hints:
It is necessary to figure out the given boundary conditions from the given information "...one
end fixed and the other end free.'
The wave speed c can be found as c =
where E = 200 GPa is the elastic modulus and
p = 7700 kg/m is the density of steel.

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