DeGarmo's Materials and Processes in Manufacturing
12th Edition
ISBN: 9781118987674
Author: J. T. Black, Ronald A. Kohser
Publisher: WILEY
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Chapter 12, Problem 4RQ
Review the steps required to make a PC study of a process.
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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
DeGarmo's Materials and Processes in Manufacturing
Ch. 12 - Define accuracy or precision in terms of a...Ch. 12 - What does the nature of the process refer to?Ch. 12 - Suppose you have a pistol�shooting process that...Ch. 12 - Review the steps required to make a PC study of a...Ch. 12 - Why do not standard tables exist detailing the...Ch. 12 - Here are some common, everyday processes with...Ch. 12 - Why might the diameter measurements for holes...Ch. 12 - What are some common manufactured items that may...Ch. 12 - What are common reasons for sampling inspection...Ch. 12 - Fill in this table with one of the four following...
Ch. 12 - Now explain why when we sample, we cannot avoid...Ch. 12 - Which error can lead to legal action from the...Ch. 12 - Define and explain the difference between andX and...Ch. 12 - What is Cp, and why is a value of 0.80 not good?...Ch. 12 - Prob. 15RQCh. 12 - What are some of the alternatives available to you...Ch. 12 - Cpk is another process capability index. How does...Ch. 12 - In a sigma chart, are σ values for the samples...Ch. 12 - What is an assignable cause, and how is it...Ch. 12 - Why is the range used to measure variability when...Ch. 12 - How is the standard deviation of a distribution of...Ch. 12 - In the last two decades, the quality in...Ch. 12 - Figure 12.15 shows a bimodal check sheet...Ch. 12 - Control charts use upper and lower control limits....Ch. 12 - In Figure 12.10, what are the USL and the LSL,...Ch. 12 - What are four major branches (fishbones) on a...Ch. 12 - How does variation in the measuring device...Ch. 12 - What are Taguchi or factorial experiments, and how...Ch. 12 - How does the Taguchi approach differ from the...Ch. 12 - Why are Taguchi experiments so important compared...Ch. 12 - Explain what happed to improve the process inÂ...Ch. 12 - In Table 12.1, explain MOâ€�COâ€�MOO....Ch. 12 - What is a quality circle, and how might you apply...Ch. 12 - Which of the seven QC tools is being used inÂ...Ch. 12 - Go to a subway restaurant and develop a process...Ch. 12 - What do you estimate the standard deviation of...Ch. 12 - Is the dashed line in the figure labeled mean the...Ch. 12 - From the information given in the discussion and...Ch. 12 - What is the most glaring error in the figure, and...
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