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All problems refer to the mass–spring
Chapter 4, Problem 14E(choose chapter or problem)
For an underdamped system, verify that as \(b \rightarrow 0\) the damping factor approaches the constant and the quasifrequency approaches the natural frequency \(\sqrt{k / m} /(2 \pi)\).
Equation Transcription:
Text Transcription:
b rightarrow 0
sqrt{k/m}/(2 pi)
Questions & Answers
QUESTION:
For an underdamped system, verify that as \(b \rightarrow 0\) the damping factor approaches the constant and the quasifrequency approaches the natural frequency \(\sqrt{k / m} /(2 \pi)\).
Equation Transcription:
Text Transcription:
b rightarrow 0
sqrt{k/m}/(2 pi)
ANSWER:
Solution:
Step 1:
In this inquiry, we need to confirm that as b the damping factor approaches the steady An and the semi recurrence approaches the characteristic recurrence.