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A mass M=4kg is connected to a spring-dashpot system with spring constant
k=10000N/m and a damper with coefficient c=8N s/m. The acceleration of gravity is
g=9.8m/s. Determine if the system is un-damped, under-damped, critically damped,
or over-damped and find the equation of motion y(t) if the mass is initially held at rest
a distance of 0.1m from the equilibrium position.

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