Now let us consider a spring-mass system with more details

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Now let us consider a spring-mass system with more details.
Consider a block of mass M hanging from the end of a vertical
spring of un-stretched length L and a dashpot damper with
damping coefficient c.
Section 3.4
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163
Section 3.4
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164
Section 3.4
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165
Exercise: Consider a mass of 0.5 kg with spring constant k = 2
N/m in an undamped, unforced mass-spring system. Assume
the mass is displaced 0.4 m from equilibrium and released.
Describe the long term behavior of the system.
Section 3.4
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166
Section 3.4
Copyright©Arunabha Biswas
167
Oscillating Solutions: sin/cos and Shifted-cos Forms
Remark:
We can always write the general solution of an undamped
unforced spring system in either of two forms:
Section 3.4
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168
Problem: Explain how this relationship helps us to understand
the behavior of solution when m comes in complex conjugate
pairs.
Section 3.4
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169
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