a.) Calculate the damping ratio, Š b.) Which of the following best describes the natural response of the system? o Overdamped o Critically Damped o Underdamped o Undamped c.) Calculate the undamped natural frequency, @n

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a.) Calculate the damping ratio, 5
b.) Which of the following best describes the natural response of the system?
o Overdamped
o Critically Damped
o Underdamped
o Undamped
c.) Calculate the undamped natural frequency, wn
d.) Calculate the damped frequency, @d_
e.) Calculate the time at which the 1st peak occurs, tp
f.) Calculate the steady state value, yss
g.) Calculate the maximum overshoot of the response at the 1st peak, Mos
h.) Calculate the value of y at the first peak, ymax or y(tp)
i.) Calculate the settling time, ts
j.) Calculate the number of cycles until steady state, Nss
k.) Calculate the DC Gain.
Transcribed Image Text:a.) Calculate the damping ratio, 5 b.) Which of the following best describes the natural response of the system? o Overdamped o Critically Damped o Underdamped o Undamped c.) Calculate the undamped natural frequency, wn d.) Calculate the damped frequency, @d_ e.) Calculate the time at which the 1st peak occurs, tp f.) Calculate the steady state value, yss g.) Calculate the maximum overshoot of the response at the 1st peak, Mos h.) Calculate the value of y at the first peak, ymax or y(tp) i.) Calculate the settling time, ts j.) Calculate the number of cycles until steady state, Nss k.) Calculate the DC Gain.
Consider the following 2nd order linear system to solve the problems below:
2ÿ + y + 10y = 10u
Where...
u = 15U(t)
y(0) = -4
y(0) = -8
%3D
Transcribed Image Text:Consider the following 2nd order linear system to solve the problems below: 2ÿ + y + 10y = 10u Where... u = 15U(t) y(0) = -4 y(0) = -8 %3D
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