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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=8Ns/m . The acceleration of gravity is

  1. A mass M=4kgis connected to a spring-dashpot system with spring constant k=10000N/mand a damper with coefficient c=8Ns/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 0.1mfrom the equilibriumposition.

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