We obtain the differential equation: mä + bi + kr = 0, as a model for a spring-mass-damper system with: In = 2, k = 18. a) Identify the 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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We obtain the differential equation:
mä + bi + kr = 0,
as a model for a spring-mass-damper system with:
2,
k = 18.
a) Identify the 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 the differential equation: mä + bi + kr = 0, as a model for a spring-mass-damper system with: 2, k = 18. a) Identify the 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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