(h) A second-order system is defined by the equation 1.1 in sinusoidal steady state, where s corresponds to the complex frequency, jw. s2 + 8s + 36 = 0 (Equation 1.1) What is the damped natural frequency of oscillation of the system, @d, expressed in radians per second?

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(h) A second-order system is defined by the equation 1.1 in sinusoidal steady state, where s
corresponds to the complex frequency, jw.
s2 + 8s + 36 = 0
(Equation 1.1)
What is the damped natural frequency of oscillation of the system, wa, expressed in radians
per second?
(A) 10 radians per second
(B) V52 radians
per
second
(C) v28 radians
per
second
(D) V20 radians per second
(i) A second-order under-damped system gives the voltage response shown in Figure 1.6.
Approximately what is the value of the system's damping coefficient, a, in units of Hz?
1.0
0.5
Time in seconds
0.004
0.006
0.008
-0.5
Figure 1.6
(A)1570 Hz
(B) 950 Hz
(С) 560 Hz
(D)230 Hz
Volts
Transcribed Image Text:(h) A second-order system is defined by the equation 1.1 in sinusoidal steady state, where s corresponds to the complex frequency, jw. s2 + 8s + 36 = 0 (Equation 1.1) What is the damped natural frequency of oscillation of the system, wa, expressed in radians per second? (A) 10 radians per second (B) V52 radians per second (C) v28 radians per second (D) V20 radians per second (i) A second-order under-damped system gives the voltage response shown in Figure 1.6. Approximately what is the value of the system's damping coefficient, a, in units of Hz? 1.0 0.5 Time in seconds 0.004 0.006 0.008 -0.5 Figure 1.6 (A)1570 Hz (B) 950 Hz (С) 560 Hz (D)230 Hz Volts
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