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An engineer designing a vibration isolation system for an instrument console models the console and isolation system as a 1 degree-of-freedom spring-mass-damper system. The modeled mass is 2kg, the spring constant is 8 N/m, and the damping constant is 1 N*s/m. The system is exposed to a time-varying force acting on the mass. This force measured is approximated by: F(t) = 20sin(4t) [N]
Determine the steady-state response of the system to this input.
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