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Consider the following transfer function: G(s) = 100 X(s) U(s) s² + 5s + 100 = By comparing the characteristic equation in the denominator of G(s) to that of a damped har- monic oscillator GDHO(S): = 1 s² +25w₁s+w²/1 determine: • the undamped natural frequency of the system (in both rad/s and Hz) • the damping ratio of the system • the damped natural frequency of the system (in both rad/s and Hz)

Consider the following transfer function: G(s) = 100 X(s) U(s) s² + 5s + 100 = By comparing the characteristic equation in the denominator of G(s) to that of a damped har- monic oscillator GDHO(S): = 1 s² +25w₁s+w²/1 determine: • the undamped natural frequency of the system (in both rad/s and Hz) • the damping ratio of the system • the damped natural frequency of the system (in both rad/s and Hz)

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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2 Problem Consider the following transfer function: G(s): By comparing the characteristic equation in the denominator of G(s) to that of a damped har- monic oscillator GDHO(S): X(s) 100 U (s) s² + 5s + 100 - 1 s²+25wns+w²/1 determine: • the undamped natural frequency of the system (in both rad/s and Hz) the damping ratio of the system • the damped natural frequency of the system (in both rad/s and Hz)
Transcribed Image Text:2 Problem Consider the following transfer function: G(s): By comparing the characteristic equation in the denominator of G(s) to that of a damped har- monic oscillator GDHO(S): X(s) 100 U (s) s² + 5s + 100 - 1 s²+25wns+w²/1 determine: • the undamped natural frequency of the system (in both rad/s and Hz) the damping ratio of the system • the damped natural frequency of the system (in both rad/s and Hz)
Xin b [₂ O m X
Transcribed Image Text:Xin b [₂ O m X
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