
Thinking Like an Engineer
4th Edition
ISBN: 9781269910989
Author: Elizabeth A. Stephan, David R. Bowman, William J. Park, Benjamin L. Sill, Matthew W. Ohland
Publisher: Pearson Learning Solutions
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Chapter 7, Problem 43RQ
To determine
Calculate the time taken by a speedboat to cross the Chesapeake Bay.
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find the laplace transform for the
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2(1-e)
Ans. F(s)=-
S
12)
k
0
Ans. F(s)=
k
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0 a
2a 3a 4a
13)
2+
Ans. F(s)=
1
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3
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 7 Solutions
Thinking Like an Engineer
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Ch. 7.6 - Determine the fundamental dimensions of the...Ch. 7.6 - Prob. 12CCCh. 7.6 - Identify the quantity through the use of...Ch. 7.7 - The power absorbed by a resistor can be given by P...Ch. 7.7 - Indicate whether the following equation is...Ch. 7.8 - Eclipses, both solar and lunar, follow a cycle of...Ch. 7.8 - A basketball has a diameter of approximately 27...Ch. 7 - Express the following values using scientific...Ch. 7 - Complete the following table.Ch. 7 - Complete the following table.Ch. 7 - Complete the following table.Ch. 7 - Complete the following table.Ch. 7 - Complete the following table. gallons per minute...Ch. 7 - A category F5 tornado can have wind speeds of 300...Ch. 7 - A new hybrid automobile with regenerative braking...Ch. 7 - The AbioCorTM artificial heart pumps at a rate of...Ch. 7 - If a pump moves water at 70 gallons per minute...Ch. 7 - In China, one "bu" is 1.66 meters [m]. The average...Ch. 7 - Prob. 12ICACh. 7 - In China, one "fen" is defined as 3.3 millimeters...Ch. 7 - A blink of a human eye takes approximately 300-400...Ch. 7 - If the Sl prefix system was expanded to other...Ch. 7 - A "jiffy" is defined as 1/60 of a second [s]....Ch. 7 - A "knot'' is a unit of speed in marine travel. One...Ch. 7 - The Earth's escape velocity is 7 miles per second...Ch. 7 - A manufacturing process uses 10 pound-mass of...Ch. 7 - CA 7-23 Determine the fundamental dimensions of...Ch. 7 - Prob. 21ICACh. 7 - Prob. 22ICACh. 7 - Prob. 23ICACh. 7 - Prob. 24ICACh. 7 - Prob. 25ICACh. 7 - A circular window has a 10-inch [in] radius. What...Ch. 7 - When shipping freight around the world, most...Ch. 7 - A body traveling in a circle experiences an...Ch. 7 - In NCAA basketball, the center circle diameter...Ch. 7 - Continental drift has an average velocity of 2...Ch. 7 - Express the following values using scientific...Ch. 7 - Express the following values using scientific...Ch. 7 - Which of the following is the longest distance? A....Ch. 7 - Which of the following is the largest volume? A....Ch. 7 - In 2001 , the first iPodTM by Apple had a rated...Ch. 7 - New plastic fuel tanks for cars can be molded to...Ch. 7 - The longest sea bridge, the Jiaozhou Bay Bridge in...Ch. 7 - The term "deep sea" refers to everything in the...Ch. 7 - Which of the following is the fastest speed? A. 50...Ch. 7 - Which of the following is the largest mass...Ch. 7 - Which of the following is the largest volumetric...Ch. 7 - If a liquid evaporates at a rate of 50 kilograms...Ch. 7 - Prob. 13RQCh. 7 - Prob. 14RQCh. 7 - Prob. 15RQCh. 7 - One of the National Academy of Engineering Grand...Ch. 7 - The oxgang is unit of area equal to 20 acres....Ch. 7 - In an effort to modernize the United States...Ch. 7 - Old Mississippi River paddle wheelers routinely...Ch. 7 - The Units Society Empire (USE) had defined the...Ch. 7 - Prob. 21RQCh. 7 - The Units Society Empire (USE) had defined the...Ch. 7 - The Units Society Empire (USE) had defined the...Ch. 7 - The Units Society Empire (USE) had defined the...Ch. 7 - Prob. 25RQCh. 7 - Prob. 26RQCh. 7 - Prob. 27RQCh. 7 - Prob. 28RQCh. 7 - Prob. 29RQCh. 7 - Prob. 30RQCh. 7 - Prob. 31RQCh. 7 - Prob. 32RQCh. 7 - We wish to analyze the velocity of a fluid exiting...Ch. 7 - Wind energy uses large fans to extract energy from...Ch. 7 - Prob. 35RQCh. 7 - Prob. 36RQCh. 7 - Prob. 37RQCh. 7 - Prob. 38RQCh. 7 - The largest hailstone is the United States was...Ch. 7 - The largest hailstone is the United States was...Ch. 7 - How large a surface area in units of square feet...Ch. 7 - How large a surface area in units of square feet...Ch. 7 - Prob. 43RQCh. 7 - In many engineering uses, the value of "g," the...Ch. 7 - In many engineering uses, the value of "g," the...Ch. 7 - A box has a volume of 10 gallons [gal]. If two...Ch. 7 - Prob. 47RQ
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