A spring-mass system consists of a 10 kg mass attached to a spring with spring constant k = 50 N/m. The damping cocfficient is y = 20 kg/s. At time t = 0 the system is set into motion by pulling the mass down 1 m from its cquilibrium position and relcasing it with an initial downward velocity of 1 m/s. State the second-order scalar IVP modeling y(t), the displacement from equilibrium, where y(t) is positive in the downward direction, then rewrite it as a first-order lincar system IVP.

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A spring-mass system consists of a 10 kg mass attached to a spring with spring constant k = 50 N/m. The damping
coefficient is y = 20 kg/s. At time t = 0 the system is set into motion by pulling the mass down 1 m from its equilibrium
position and relcasing it with an initial downward velocity of 1 m/s. State the second-order scalar IVP modcling y(t),
the displacement from equilibrium, where y(t) is positive in the downward direction, then rewrite it as a first-order
lincar system IVP.
Transcribed Image Text:A spring-mass system consists of a 10 kg mass attached to a spring with spring constant k = 50 N/m. The damping coefficient is y = 20 kg/s. At time t = 0 the system is set into motion by pulling the mass down 1 m from its equilibrium position and relcasing it with an initial downward velocity of 1 m/s. State the second-order scalar IVP modcling y(t), the displacement from equilibrium, where y(t) is positive in the downward direction, then rewrite it as a first-order lincar system IVP.
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