
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 8, Problem 35RQ
To determine
Calculate the dynamic pressure for the aircraft in units of pascal.
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find the laplace transform for the
flowing function
2(1-e)
Ans. F(s)=-
S
12)
k
0
Ans. F(s)=
k
s(1+e)
0 a
2a 3a 4a
13)
2+
Ans. F(s)=
1
s(1+e")
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 8 Solutions
Thinking Like an Engineer
Ch. 8.1 - The engine on a spacecraft nearing Mars can...Ch. 8.2 - The mass of the human brain is 1360 grams [g]....Ch. 8.2 - The mass of the human brain is 1360 grams [g]....Ch. 8.3 - Convert 50 grams per cubic centimeter [g/cm3] into...Ch. 8.3 - A 75-gram [g] cylindrical rod is measured to be 10...Ch. 8.4 - Determine the mass in units of grams of 0.025...Ch. 8.4 - Determine the amount in units of moles [mol] of 5...Ch. 8.5 - The temperature of dry ice is 109.3 degrees...Ch. 8.5 - The specific heat capacity of copper is 0.09...Ch. 8.6 - If the pressure is 250 feet of water [ft H2O],...
Ch. 8.6 - An object is completely submerged in a liquid with...Ch. 8.7 - A 5-gallon [gal] container holds 35 grams [g] of...Ch. 8.7 - An 8-liter [L] container holds nitrogen (formula:...Ch. 8.8 - You push an automobile with a constant force of 20...Ch. 8.8 - One gram of material A is heated until the...Ch. 8.9 - A motor with a power of 100 watts [W] is connected...Ch. 8.10 - A motor with an input power of 100 watts [W] is...Ch. 8.10 - If a 50-kilogram [kg] load was raised 5 meters [m]...Ch. 8.11 - The current through a 12 kilo-ohms [k] resistor is...Ch. 8.11 - A device contains a 1000-ohm [] resistor with 120...Ch. 8.11 - Prob. 21CCCh. 8.11 - Express 1LC in terms of base SI units, where L is...Ch. 8 - Prob. 1ICACh. 8 - Prob. 2ICACh. 8 - Prob. 3ICACh. 8 - Prob. 4ICACh. 8 - Complete the following...Ch. 8 - Prob. 6ICACh. 8 - Prob. 7ICACh. 8 - If the density of sodium is 98 kilograms per cubic...Ch. 8 - Prob. 9ICACh. 8 - Prob. 10ICACh. 8 - Prob. 11ICACh. 8 - ICA 8-12
Complete the following table. Assume you...Ch. 8 - You have been working to develop a new fictitious...Ch. 8 - Determine the mass in units of grams [g] of 0.35...Ch. 8 - Prob. 15ICACh. 8 - A eutectic alloy of two metals contains the...Ch. 8 - In the Spring of 2004, NASA discovered a new...Ch. 8 - Is there a physical condition at which a...Ch. 8 - Prob. 19ICACh. 8 - Prob. 20ICACh. 8 - If the pressure is 250 feet of water [ft H2O],...Ch. 8 - Prob. 22ICACh. 8 - Prob. 23ICACh. 8 - Complete the table, using the ideal gas law:...Ch. 8 - Complete the table for specific heat conversions:...Ch. 8 - Prob. 26ICACh. 8 - The specific heat of helium is 5.24 joules per...Ch. 8 - If a ball is dropped from a height (H) its...Ch. 8 - Which objectA, B, or Chas the most potential...Ch. 8 - The specific heats of aluminum and iron are 0.214...Ch. 8 - Complete the table for thermal conductivity...Ch. 8 - The thermal conductivity of a plastic is 0.325...Ch. 8 - The heat transfer coefficient of steel is 25 watts...Ch. 8 - Complete the table. This problem involves the...Ch. 8 - Complete the table. This problem involves the...Ch. 8 - Prob. 36ICACh. 8 - One problem with solar energy is that any given...Ch. 8 - A resistor is dissipating 125 milliwatts [mW] of...Ch. 8 - A 3-volt [V] battery delivers a constant current...Ch. 8 - A constant current charges a 20-nanofarad [nF]...Ch. 8 - 1. The space shuttle fleet was designed with two...Ch. 8 - Prob. 2RQCh. 8 - Prob. 3RQCh. 8 - Prob. 4RQCh. 8 - Prob. 5RQCh. 8 - Consider the following strange, but true, units: 1...Ch. 8 - Consider the following strange, but true, units: 1...Ch. 8 - A cube of material X, 1 inch [in] on all sides,...Ch. 8 - Prob. 9RQCh. 8 - The density of gasoline is 0.72 grams per cubic...Ch. 8 - A lab reports the density of a new element is X...Ch. 8 - The Eco-Marathon is an annual competition...Ch. 8 - A golden bar of metal (5 centimeters [cm] by 18...Ch. 8 - A rod on the surface of Jupiters moon Callisto has...Ch. 8 - Prob. 15RQCh. 8 - If we increase the temperature in a reactor by 90...Ch. 8 - Prob. 17RQCh. 8 - If we increase the temperature in a reactor by 90...Ch. 8 - We are making a cup of coffee and want the...Ch. 8 - Prob. 20RQCh. 8 - Prob. 21RQCh. 8 - Prob. 22RQCh. 8 - We want to construct a thermometer using mercury....Ch. 8 - Prob. 24RQCh. 8 - A normal blood pressure has a gauge pressure of...Ch. 8 - Prob. 26RQCh. 8 - Prob. 27RQCh. 8 - The force on the inside of a cork in a champagne...Ch. 8 - If a force of 15 newtons [N] is applied to a...Ch. 8 - A sensor is submerged in a silo to detect any...Ch. 8 - One of the National Academy of Engineering Grand...Ch. 8 - Prob. 32RQCh. 8 - Prob. 33RQCh. 8 - NASA is designing a mission to explore Titan, the...Ch. 8 - Prob. 35RQCh. 8 - Prob. 36RQCh. 8 - Prob. 37RQCh. 8 - A 10-liter [L] flask contains 1.3 moles [mol] of...Ch. 8 - A 10-liter [L] flask contains 5 moles [mol] of gas...Ch. 8 - An ideal gas in a 1.25-gailon [gal] container is...Ch. 8 - A 5-liter [L] container holds nitrogen (formula:...Ch. 8 - An ideal gas, kept in a 5-liter [L] container at...Ch. 8 - An ideal gas is kept in a 10-liter [L] container...Ch. 8 - A container holding 1.5 moles [mol] of oxygen...Ch. 8 - Which of the following requires the expenditure of...Ch. 8 - A 10-gram [g] rubber ball is released from a...Ch. 8 - If a ball is dropped from a height its velocity...Ch. 8 - A bail is thrown vertically into the air with an...Ch. 8 - A robotic rover on Mars finds a spherical rock...Ch. 8 - Prob. 50RQCh. 8 - Measurements indicate that boat A has twice the...Ch. 8 - If a 10-kilogram [kg] rotating solid cylinder...Ch. 8 - We go out to sunbathe on a warm summer day. If we...Ch. 8 - A 3-kilogram [kg] projectile traveling at 100...Ch. 8 - The maximum radius (R) a falling liquid drop can...Ch. 8 - Prob. 56RQCh. 8 - When we drive our car at 100 feet per second...Ch. 8 - The power required by an airplane is given by P =...Ch. 8 - Prob. 59RQCh. 8 - The power required by an airplane is given by P =...Ch. 8 - When gasoline is burned in the cylinder of an...Ch. 8 - A 100-watt [W] motor (60% efficient) is used to...Ch. 8 - A 100-watt [W] motor (60% efficient) is available...Ch. 8 - You need to purchase a motor to supply 400 joules...Ch. 8 - A robotic rover on Mars finds a spherical rock...Ch. 8 - Consider the following strange, but true, unit: 1...Ch. 8 - Prob. 67RQCh. 8 - When boiling water a hot plate takes an average of...Ch. 8 - Prob. 69RQCh. 8 - The power available from a wind turbine is...Ch. 8 - A constant voltage of 5 volts [V] is applied...Ch. 8 - A 10,000-microfarad [F] capacitor is charged to 25...
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