Consider k₁-1.2, b=7.0, m-1 and initial condition a(0)-0.6 (compatible units). Find the value of k₂ for the system to show a critically damped response (two repeated roots in the characteristic equation).

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Consider the mechanical system shown below:
x
K₁₁
K₂
m
Consider k₁=1.2, b=7.0, m=1 and initial condition (0)=0.6 (compatible units). Find the value of k₂ for the
system to show a critically damped response (two repeated roots in the characteristic equation).
Transcribed Image Text:Consider the mechanical system shown below: x K₁₁ K₂ m Consider k₁=1.2, b=7.0, m=1 and initial condition (0)=0.6 (compatible units). Find the value of k₂ for the system to show a critically damped response (two repeated roots in the characteristic equation).
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