A viscously damped system has a stiffness of (5000 mathrm{~N} / mathrm{m}), critical damping constant of (0.2

Question:

A viscously damped system has a stiffness of $5000 \mathrm{~N} / \mathrm{m}$, critical damping constant of $0.2 \mathrm{~N}$-s/ $\mathrm{mm}$, and a logarithmic decrement of 2.0. If the system is given an initial velocity of $1 \mathrm{~m} / \mathrm{s}$, determine the maximum displacement of the system.

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