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For the problem above: 1. Plot in MATLAB the output-input ratio, |G(iw), and phase lag, 4, as a function of fre- quency on two separate plots over the range of input frequencies w from 0 to 30 rad/s. • You may use either (a) your analytical results for |G(iw)| and & from Problem 4, or (b) your analytical expression for G(iw) along with additional MATLAB commands (e.g., angle, abs, real, imag, atan2) to compute |G(iw)] and ø. • The curve of should be plotted in degrees and vary smoothly from 0 deg towards -180 deg. • To receive credit for this problem you cannot use other MATLAB-based tools that automatically generate the frequency response (we will discuss tools such as bode later on). 2. Based on your plot, at what frequency does the system resonate? What is the approximate phase lag at this point? 3. Indicate on your plot (either by hand, or by plotting a marker in MATLAB) the two values (w, G(iw)) and (w,p) from Problem 1 (if both problems are completed correctly this pair of points should fall on the frequency response curve plotted in MATLAB).

For the problem above: 1. Plot in MATLAB the output-input ratio, |G(iw), and phase lag, 4, as a function of fre- quency on two separate plots over the range of input frequencies w from 0 to 30 rad/s. • You may use either (a) your analytical results for |G(iw)| and & from Problem 4, or (b) your analytical expression for G(iw) along with additional MATLAB commands (e.g., angle, abs, real, imag, atan2) to compute |G(iw)] and ø. • The curve of should be plotted in degrees and vary smoothly from 0 deg towards -180 deg. • To receive credit for this problem you cannot use other MATLAB-based tools that automatically generate the frequency response (we will discuss tools such as bode later on). 2. Based on your plot, at what frequency does the system resonate? What is the approximate phase lag at this point? 3. Indicate on your plot (either by hand, or by plotting a marker in MATLAB) the two values (w, G(iw)) and (w,p) from Problem 1 (if both problems are completed correctly this pair of points should fall on the frequency response curve plotted in MATLAB).

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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For the problem above: 1. Plot in MATLAB the output-input ratio, |G(iw)|, and phase lag, 4, as a function of fre- quency on two separate plots over the range of input frequencies w from 0 to 30 rad/s. • You may use either (a) your analytical results for |G(iw) and o from Problem 4, or (b) your analytical expression for G(iw) along with additional MATLAB commands (e.g., angle, abs, real, imag, atan2) to compute |G(iw)| and p. Φ • The curve of should be plotted in degrees and vary smoothly from 0 deg towards -180 deg. • To receive credit for this problem you cannot use other MATLAB-based tools that automatically generate the frequency response (we will discuss tools such as bode later on). 2. Based on your plot, at what frequency does the system resonate? What is the approximate phase lag at this point? 3. Indicate on your plot (either by hand, or by plotting a marker in MATLAB) the two values (w, G(iw)) and (w, p) from Problem 1 (if both problems are completed correctly this pair of points should fall on the frequency response curve plotted in MATLAB).
Transcribed Image Text:For the problem above: 1. Plot in MATLAB the output-input ratio, |G(iw)|, and phase lag, 4, as a function of fre- quency on two separate plots over the range of input frequencies w from 0 to 30 rad/s. • You may use either (a) your analytical results for |G(iw) and o from Problem 4, or (b) your analytical expression for G(iw) along with additional MATLAB commands (e.g., angle, abs, real, imag, atan2) to compute |G(iw)| and p. Φ • The curve of should be plotted in degrees and vary smoothly from 0 deg towards -180 deg. • To receive credit for this problem you cannot use other MATLAB-based tools that automatically generate the frequency response (we will discuss tools such as bode later on). 2. Based on your plot, at what frequency does the system resonate? What is the approximate phase lag at this point? 3. Indicate on your plot (either by hand, or by plotting a marker in MATLAB) the two values (w, G(iw)) and (w, p) from Problem 1 (if both problems are completed correctly this pair of points should fall on the frequency response curve plotted in MATLAB).
The transfer function of the mass-spring-damper system discussed above is determined to be: 100 G(s) = = X(s) F(s) s² + 5s + 100 where x(t) is the displacement of the mass and f(t) is an arbitrary force input. We wish to study how the system responds to changing the frequency of the input, w when the forcing function is a sinusoid f(t) = A sin(wt) with A = 2. As part of your analysis, the following is requested:
Transcribed Image Text:The transfer function of the mass-spring-damper system discussed above is determined to be: 100 G(s) = = X(s) F(s) s² + 5s + 100 where x(t) is the displacement of the mass and f(t) is an arbitrary force input. We wish to study how the system responds to changing the frequency of the input, w when the forcing function is a sinusoid f(t) = A sin(wt) with A = 2. As part of your analysis, the following is requested:
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