We obtain the differential equation: mä + bà + kr = 0, as a model for a spring-mass-damper system with: m:=2, k = 18. à) Identify thë damping constant b that gives rise to critical damping; b) If, instead, b.=24, approximately how lorig will it take for the the amplitude of free vibration to be reduced to within 2% of zero?

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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19
We obtain thẹ differential equation:
mä+ bi+ kx = 0,
Pas a model for a spring-mass-damper system with:
m:=2, k=18.
ww
à) Identify thë damping constant b that gives rise to critical damping,
b) If, instead, b=24, approximately how long will.it take for the the amplitude of free vibration
to be reduced to within 2% of zero?
Transcribed Image Text:19 We obtain thẹ differential equation: mä+ bi+ kx = 0, Pas a model for a spring-mass-damper system with: m:=2, k=18. ww à) Identify thë damping constant b that gives rise to critical damping, b) If, instead, b=24, approximately how long will.it take for the the amplitude of free vibration to be reduced to within 2% of zero?
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