The ODE below models a spring, mass, dashpot system with damping constant c, spring constant k and mass 5.3 (kg). x'' + 2x' + 5x = 0 Find the constants, c and k. kg C = kg

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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The ODE below models a spring, mass, dashpot system with damping constant cc, spring constant kk and mass 5.3 (kg).

x''+2x'+5xx′′+2x′+5x = 0

Find the constants, cc and kk.

cc =    kgskgs

kk =    kgs2kgs2
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The ODE below models a spring, mass, dashpot system with damping constant c, spring constant k and mass
5.3 (kg).
x''+ 2x' + 5x = 0
%3D
Find the constants, c and k.
kg
C =
kg
k =
82
Transcribed Image Text:The ODE below models a spring, mass, dashpot system with damping constant c, spring constant k and mass 5.3 (kg). x''+ 2x' + 5x = 0 %3D Find the constants, c and k. kg C = kg k = 82
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