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Thanks Consider the system y" 2by + y 0 with initial conditions y(0) 0, y (0)...

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Consider the system y 2by + y 0 with initial conditions y(0) 0, y (0) = Uo. Assume y represents the position of an object (a
Consider the system y" 2by + y 0 with initial conditions y(0) 0, y (0) = Uo. Assume y represents the position of an object (a) In the case of critical damping find the value of Uo such that the output achieves a maximum position of D Hint: you may see my name popping up somewhere!!! Recall that the critically damped case provides the fastest decay (b) Assume now an overdamped system such that b rate. Despite this show that the maximum in this scenario (i.e. when b) occurs before it does in part (a)
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chamacteaistic equation por the system is S2+ 2b5 + 1 =0 foo caithically dombed system condition is (2b)4x1x1 0 Repeated rootdambed ystem yu +2x 6 y+Y= O chasactesistic eq. is Ovea S22.5S +1 chasactenshic ots ase -2.5 + 2.5 ± 1.5 - 2 -5 1 2. YE)CE2

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Thanks Consider the system y" 2by + y 0 with initial conditions y(0) 0, y (0)...
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