Determine the equation defining the state plane for the system of Figure P12.6. Sketch trajectories in the

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Determine the equation defining the state plane for the system of Figure P12.6. Sketch trajectories in the phase plane when the following are given.

(a) \(p=1.5 \mathrm{~m}^{-1}, \omega=5 \mathrm{rad} / \mathrm{s}\)

(b) \(p=1.0 \mathrm{~m}^{-1}, \omega=5 \mathrm{rad} / \mathrm{s}\)

(c) \(p=5.097 \mathrm{~m}^{-1}, \omega=10 \mathrm{rad} / \mathrm{s}\)

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