Denote by y(t) the displacement of the platform from its
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Denote by y(t) the displacement of the platform from its equilibrium position relative to a fixed frame of reference. Re
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Denote by y(t) the displacement of the platform from its equilibrium position relative to a fixed frame of reference. Relative to the same fixed reference frame, let u(t) represent the displacement of the plant floor from its equilibrium position. Show that the differential equation for the motion of the platform is y?? + 2??0y? + ?2 0y = 2??0u? + ?2 0u, (i) where ?0 = ?k?m and ? = ??2 ? mk is a dimensionless parameter known as the viscous damping ratio.
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