Question: 2. (25 pts) Consider the following second order transfer function: G(s)=(20s+1)210(15s+1) a) Is this system underdamped, critically damped, or overdamped, and why? Answer both parts

2. (25 pts) Consider the following second order transfer function: G(s)=(20s+1)210(15s+1)

2. (25 pts) Consider the following second order transfer function: G(s)=(20s+1)210(15s+1) a) Is this system underdamped, critically damped, or overdamped, and why? Answer both parts for credit. b) For a step change in the input of magnitude 10 , what time is the settling time? (BOX ANSWER) c) For a ramp change in the input of 5t, how much does the output response lag the input at long times (i.e. after any and all exponential terms have decayed). (BOX ANSWER)

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