Suppose a spring with spring constant 9 N/m has one end attached to the ceiling and the ofner end attached to a 4 kg brick. The system is undamped. The brick is stretched 1 m from its equilibrium position and then released. A. Set up an IVP that describes this system. Let y(t) denote the displacement (in meters) of the mass from its equilibrium position with the positive direction being downward. B. Sketch a phase portrait for the DE.
Suppose a spring with spring constant 9 N/m has one end attached to the ceiling and the ofner end attached to a 4 kg brick. The system is undamped. The brick is stretched 1 m from its equilibrium position and then released. A. Set up an IVP that describes this system. Let y(t) denote the displacement (in meters) of the mass from its equilibrium position with the positive direction being downward. B. Sketch a phase portrait for the DE.
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