Thinking Like an Engineer: An Active Learning Approach (3rd Edition)
3rd Edition
ISBN: 9780133593211
Author: Elizabeth A. Stephan, David R. Bowman, William J. Park, Benjamin L. Sill, Matthew W. Ohland
Publisher: PEARSON
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Chapter 16.2, Problem 4CC
a.
To determine
Write a MATLAB code to calculate the two roots of the quadratic equation
b.
To determine
Write a MATLAB code to calculate the tangent of 75 degrees and to place the result in Trig2.
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14) f(t)=1, 0
Find the solution of the following Differential Equations
Using Laplace Transforms
1) 4y+2y=0.
y(0)=2.
y'(0)=0.
2) y+w²y=0,
(0)=A,
y'(0)=B.
3) +2y-8y 0.
y(0)=1.
y'(0)-8.
4)-2-3y=0,
y(0)=1.
y'(0)=7.
5) y-ky'=0,
y(0)=2,
y'(0)=k.
6) y+ky'-2k²y=0,
y(0)=2,
y'(0) = 2k.
7) '+4y=0,
y(0)=2.8
8) y+y=17 sin(21),
y(0)=-1.
9) y-y-6y=0,
y(0)=6,
y'(0)=13.
10) y=0.
y(0)=4,
y' (0)=0.
11) -4y+4y-0,
y(0)=2.1.
y'(0)=3.9
12) y+2y'+2y=0,
y(0)=1,
y'(0)=-3.
13) +7y+12y=21e".
y(0)=3.5.
y'(0)=-10.
14) "+9y=10e".
y(0)=0,
y'(0)=0.
15) +3y+2.25y=91' +64.
y(0)=1.
y'(0) = 31.5
16)
-6y+5y-29 cos(2t).
y(0)=3.2,
y'(0)=6.2
17) y+2y+2y=0,
y(0)=0.
y'(0)=1.
18) y+2y+17y=0,
y(0)=0.
y'(0)=12.
19) y"-4y+5y=0,
y(0)=1,
y'(0)=2.
20) 9y-6y+y=0,
(0)-3,
y'(0)=1.
21) -2y+10y=0,
y(0)=3,
y'(0)=3.
22) 4y-4y+37y=0,
y(0)=3.
y'(0)=1.5
23) 4y-8y+5y=0,
y(0)=0,
y'(0)=1.
24)
++1.25y-0,
y(0)=1,
y'(0)=-0.5
25) y 2 cos(r).
y(0)=2.
y'(0) = 0.
26)
-4y+3y-0,
y(0)=3,
y(0) 7.
27) y+2y+y=e
y(0)=0.
y'(0)=0.
28) y+2y-3y=10sinh(27),
y(0)=0.
y'(0)=4.
29)…
Auto Controls
A union feedback control system has the following open loop transfer function
where k>0 is a variable proportional gain
i. for K = 1 , derive the exact magnitude and phase expressions of G(jw).
ii) for K = 1 , identify the gaincross-over frequency (Wgc) [where IG(jo))| 1] and phase cross-overfrequency [where <G(jw) = - 180]. You can use MATLAB command "margin" to obtain there quantities.
iii) Calculate gain margin (in dB) and phase margin (in degrees) ·State whether the closed-loop is stable for K = 1 and briefly justify your answer based on the margin . (Gain marginPhase margin)
iv. what happens to the gain margin and Phase margin when you increase the value of K?you
You can use for loop in MATLAB to check that.Helpful matlab commands : if, bode, margin, rlocus
NO COPIED SOLUTIONS
Chapter 16 Solutions
Thinking Like an Engineer: An Active Learning Approach (3rd Edition)
Ch. 16.1 - Prob. 1CCCh. 16.1 - Which of the following assignment statements are...Ch. 16.2 - Write MATLAB code to complete the following...Ch. 16.2 - Prob. 4CCCh. 16.3 - Each problem should be done with a single MATLAB...Ch. 16.3 - Assume a row vector named vals has already been...Ch. 16.3 - Comprehension Check 15-1 0 a. Assume you have four...Ch. 16.3 - a. Write a single MATLAB command that will create...Ch. 16.4 - a. Create the matrix CCM1=[180.34.11017] using a...Ch. 16.4 - Prob. 10CC
Ch. 16.5 - a. Create a variable named MTS containing the text...Ch. 16.6 - Assume a cell array named CA has three cells in a...Ch. 16.6 - Prob. 14CCCh. 16.7 - Create a structure array named Resistors...Ch. 16.7 - Use the data stored in MetalData to answer the...Ch. 16.8 - a. Store all workspace variables in the file...Ch. 16 - Which of the following are not valid MATLAB...Ch. 16 - Prob. 2ICACh. 16 - Write the MATLAB code necessary to create the...Ch. 16 - Assuming t = [9 10; 11 12] and v = [2 4;6 8;10 12]...Ch. 16 - Prob. 5ICACh. 16 - For each of the following problems, write a single...Ch. 16 - For each of the following problems, write a single...Ch. 16 - Prob. 9ICACh. 16 - Assume four row vectors named Prod10, Prod11,...Ch. 16 - Assume a matrix named Prod contains data on...Ch. 16 - Prob. 5RQCh. 16 - Refer to the specifications for Review Questions...
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- Auto Controls A union feedback control system has the following open loop transfer function where k>0 is a variable proportional gain i. for K = 1 , derive the exact magnitude and phase expressions of G(jw). ii) for K = 1 , identify the gaincross-over frequency (Wgc) [where IG(jo))| 1] and phase cross-overfrequency [where <G(jw) = - 180]. You can use MATLAB command "margin" to obtain there quantities. iii) Calculate gain margin (in dB) and phase margin (in degrees) ·State whether the closed-loop is stable for K = 1 and briefly justify your answer based on the margin . (Gain marginPhase margin) iv. what happens to the gain margin and Phase margin when you increase the value of K?you You can use for loop in MATLAB to check that.Helpful matlab commands : if, bode, margin, rlocus NO COPIED SOLUTIONSarrow_forwardAuto Controls Hand sketch the root Focus of the following transfer function How many asymptotes are there ?what are the angles of the asymptotes?Does the system remain stable for all values of K NO COPIED SOLUTIONSarrow_forward-400" 150" in Datum 80" 90" -280"arrow_forward
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