For the mass-damper system at right, the model in terms of velocity is mv + cv = f. The time constant of this first order system is T = m/c. For this system, a larger value of the damping constant c causes the time constant to decrease - which is counterintuitive. It seems that a small amount of damping should correspond to a system with a fast response. How can you reconcile this?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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1) For the mass-damper system at right, the model in terms of velocity is
mv + cv = f. The time constant of this first order system is t = m/c.
For this system, a larger value of the damping constant c causes the time
constant to decrease - which is counterintuitive. It seems that a small
amount of damping should correspond to a system with a fast response.
How can you reconcile this?
m
CA
Transcribed Image Text:1) For the mass-damper system at right, the model in terms of velocity is mv + cv = f. The time constant of this first order system is t = m/c. For this system, a larger value of the damping constant c causes the time constant to decrease - which is counterintuitive. It seems that a small amount of damping should correspond to a system with a fast response. How can you reconcile this? m CA
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