Thinking Like an Engineer: An Active Learning Approach (4th Edition)
4th Edition
ISBN: 9780134639673
Author: Elizabeth A. Stephan, David R. Bowman, William J. Park, Benjamin L. Sill, Matthew W. Ohland
Publisher: PEARSON
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Textbook Question
Chapter 12.4, Problem 5CC
You have three springs, with stiffness 1,2 and 3 newtons per meter [N/m], respectively. How many unique spring stiffnesses can be formed with these springs? Consider each spring alone, pairs of springs in both parallel and series, and all springs used at once.
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Example-1:
l
D
A uniform rotor of length 0.6 m and diameter 0.4 m is made of steel (density 7810 kg/m³)
is supported by identical short bearings of stiffness 1 MN/m in the horizontal and vertical
directions. If the distance between the bearings is 0.7 m, determine the natural frequencies
and plot whirl speed map.
Solution:
B
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)…
Chapter 12 Solutions
Thinking Like an Engineer: An Active Learning Approach (4th Edition)
Ch. 12.3 - Fluid A as a dynamic viscosity of 0.5 centipoise...Ch. 12.3 - Fluid A has a dynamic viscosity of 0.5 centipoise...Ch. 12.3 - Fluid A has a dynamic viscosity of 0.5 centipoise...Ch. 12.4 - You have three springs, with stiffness 1,2 and 3...Ch. 12.4 - You have three resistors with resistance 2,2, and...Ch. 12.4 - You have four 60-nanofarad [nF] capacitors. Using...Ch. 12.4 - You have three 120 millihenry [mH] inductors. Can...Ch. 12.5 - The graph shows the ideal gas law relationship...Ch. 12.5 - The preceding graph shows the ideal gas Jaw...Ch. 12.6 - The decay of a radioactive isotope was tracked...
Ch. 12 - The graph shows the ideal gas law relationship (PV...Ch. 12 - An inductor is an electrical device that can store...Ch. 12 - Solid objects, such as your desk or a rod of...Ch. 12 - Mercury has a dynamic viscosity of 1.55...Ch. 12 - SAE 99W10, a brand new type of motor oil has a...Ch. 12 - You have two springs each of stiffness 2 newton...Ch. 12 - Prob. 7ICACh. 12 - Four springs were tested, with the results shown...Ch. 12 - Four circuits were tested, with the results shown...Ch. 12 - Assume you have an unlimited number of inductors...Ch. 12 - a. The equivalent capacitance of the circuit shown...Ch. 12 - A standard guitar, whether acoustic or electric,...Ch. 12 - The vibrating frequency of a guitar string depends...Ch. 12 - Solid objects, such as your desk or a rod of...Ch. 12 - Eutrophication is a process whereby lakes,...Ch. 12 - The following graph shows the relationship between...Ch. 12 - The total quantity (mass) of a radioactive...Ch. 12 - Match the data series from the options shown on...Ch. 12 - 1. For a simple capacitor with two f lat plates,...Ch. 12 - 2. When we wish to generate hydroelectric power,...Ch. 12 - 3. When rain falls over an area for a sufficiently...Ch. 12 - You are experimenting with several liquid metal...Ch. 12 - 5. The resistance of a wire (R [ohm)) is a...Ch. 12 - 6. Use the figure shown to answer the following...Ch. 12 - 7. You are given four springs, one each of...Ch. 12 - You have three springs. You conduct several tests...Ch. 12 - 9. You are given four resistors, each of 7.5, 10,...Ch. 12 - 10. You have three resistors. You conduct several...Ch. 12 - 11. Use the diagrams shown to answer the following...Ch. 12 - 12. When a buoyant cylinder of height H, such as a...Ch. 12 - 13. It is difficult to bring the Internet to some...Ch. 12 - 14. The data shown in the following graph was...Ch. 12 - 15 A standard guitar, whether acoustic or...Ch. 12 - 16. Your supervisor has assigned you the task of...Ch. 12 - 17. One of the NAE Grand Challenges for...Ch. 12 - 18. When volunteers build a Habitat for Humanity...Ch. 12 - 1. As part of an electronic music synthesizer, you...Ch. 12 - Prob. 20RQ
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