
DeGarmo's Materials and Processes in Manufacturing
12th Edition
ISBN: 9781118987674
Author: J. T. Black, Ronald A. Kohser
Publisher: WILEY
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Question
Chapter 10, Problem 8P
To determine
Whether it is possible to detect the change in length of steel bar.
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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 10 Solutions
DeGarmo's Materials and Processes in Manufacturing
Ch. 10 - What are some of the advantages to the consumer of...Ch. 10 - DFMÂ stands for design for manufacturing. Why is...Ch. 10 - Explain the difference between attributes and...Ch. 10 - Prob. 4RQCh. 10 - What are the four basic measures upon which all...Ch. 10 - What are gage blocks?Ch. 10 - Why do gage blocks come in sets?Ch. 10 - Prob. 8RQCh. 10 - What is the difference between accuracy and...Ch. 10 - What is the difference between tolerance and...
Ch. 10 - Prob. 11RQCh. 10 - Prob. 12RQCh. 10 - Why might you use a shrink fit to join the wheels...Ch. 10 - Explain the difference between repeatability and...Ch. 10 - When measuring time, is it more important to be...Ch. 10 - Prob. 16RQCh. 10 - What factors should be considered in selecting...Ch. 10 - Prob. 18RQCh. 10 - What is parallax? (Why do linesmen in tennis sit...Ch. 10 - Explain the rule of 10 in terms of tolerances.Ch. 10 - How does the vernier caliper work to make...Ch. 10 - What are the two most likely sources of error in...Ch. 10 - What is the major disadvantage of a micrometer...Ch. 10 - What is the main advantage of a micrometer over...Ch. 10 - What is the major difficulty in obtaining an...Ch. 10 - Why is the toolmakers microscope particularly...Ch. 10 - What are the ways that linear measurements can be...Ch. 10 - What type of instrument would you select for...Ch. 10 - What are the chief disadvantages of using a vision...Ch. 10 - What is a CMM (coordinate measuring machine)?Ch. 10 - Prob. 31RQCh. 10 - How can the no�go member of a plug gage be...Ch. 10 - What is the primary precaution that should be...Ch. 10 - What tolerances are added to gages when they are...Ch. 10 - Explain how a go/no�go ring gage works to check...Ch. 10 - Why are air gages particularly well suited for...Ch. 10 - Explain the principle of measurement by...Ch. 10 - How does a toolmakers flat differ from an optical...Ch. 10 - Prob. 1PCh. 10 - Read the 25�division vernier graduated in metric...Ch. 10 - In Figure 10.C , the sleeve�thimble region of...Ch. 10 - Suppose that in Figure 10.31 the height of the...Ch. 10 - What is the estimated error in this measurement,...Ch. 10 - Figure 10.D shows the sleeve�thimble region of...Ch. 10 - In Figure 10.E , two examples of a metric...Ch. 10 - Prob. 8PCh. 10 - Figure 10.F shows a section of a vernier...Ch. 10 - Here is a table that provides a description of...
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