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In a spring-mass-dashpot system, a force of 1 Newtons is required to stretch the spring for.05...

In a spring-mass-dashpot system, a force of 1 Newtons is required to stretch the spring for.05 meters. A mass of 4 kg is hung from the spring and also attached to a viscous damper that has a damping constant 8 Newton-sec/m. The mass is suddenly set in motion from its equilibrium location at t= 0 by an external force of 8 cost Newtons with initial velocity 0m/sec. Find the transient solution and the steady state solution of the system

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