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 12, Problem 6ICA
(a)
To determine
Find the possible number of configurations, unique combinations and different stiffness values are obtained with three springs.
(b)
To determine
Find the stiffest combination and its spring constant.
(c)
To determine
Find the least stiff combination and its spring constant.
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find the laplace transform for the
flowing function
2(1-e)
Ans. F(s)=-
S
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k
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0 a
2a 3a 4a
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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)…
Chapter 12 Solutions
Thinking Like an Engineer: An Active Learning Approach (3rd Edition)
Ch. 12.1 - Prob. 1CCCh. 12.2 - Fluid A as a dynamic viscosity of 0.5 centipoise...Ch. 12.2 - Fluid A has a dynamic viscosity of 0.5 centipoise...Ch. 12.2 - Fluid A has a dynamic viscosity of 0.5 centipoise...Ch. 12.2 - You have three springs, with stiffness 1,2 and 3...Ch. 12.2 - You have three resistors with resistance 2,2, and...Ch. 12.2 - You have four 60-nanofarad [nF] capacitors. Using...Ch. 12.2 - You have three 120 millihenry [mH] inductors. Can...Ch. 12.3 - The graph shows the ideal gas law relationship...Ch. 12.3 - The preceding graph shows the ideal gas Jaw...
Ch. 12.4 - The decay of a radioactive isotope was tracked...Ch. 12 - Prob. 1ICACh. 12 - Prob. 2ICACh. 12 - Prob. 3ICACh. 12 - Mercury has a dynamic viscosity of 1.55...Ch. 12 - Prob. 5ICACh. 12 - Prob. 6ICACh. 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 flat 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 2.5, 5,...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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