Suppose you are considering a spring-dashpot system as a model to describe some process. The spring behavior can be described by Hooke's law, F = kx, where x is a displacement, F is the force, and k is the spring constant. The Newtonian dashpot behavior is described by F = uv, where v is the velocity, and u is the viscous coefficient (not viscosity). You wish to determine the characteristic frequency of the system. Using dimensional analysis, find the dimensionless parameters governing this frequency.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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8. Suppose you are considering a spring-dashpot system
as a model to describe some process. The spring
behavior can be described by Hooke's law, F = kx, where
x is a displacement, F is the force, and k is the spring
constant. The Newtonian dashpot behavior is described
by F = uv, where v is the velocity, and u is the viscous
coefficient (not viscosity). You wish to determine
the characteristic frequency of the system. Using
dimensional analysis, find the dimensionless parameters
governing this frequency.
Transcribed Image Text:8. Suppose you are considering a spring-dashpot system as a model to describe some process. The spring behavior can be described by Hooke's law, F = kx, where x is a displacement, F is the force, and k is the spring constant. The Newtonian dashpot behavior is described by F = uv, where v is the velocity, and u is the viscous coefficient (not viscosity). You wish to determine the characteristic frequency of the system. Using dimensional analysis, find the dimensionless parameters governing this frequency.
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