Manufacturing Engineering & Technology
7th Edition
ISBN: 9780133128741
Author: Serope Kalpakjian, Steven Schmid
Publisher: Prentice Hall
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Chapter 36, Problem 7RQ
Explain why control charts are developed. How are they used?
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find the laplace transform for the
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2(1-e)
Ans. F(s)=-
S
12)
k
0
Ans. F(s)=
k
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2a 3a 4a
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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 36 Solutions
Manufacturing Engineering & Technology
Ch. 36 - Define the terms sample size, random sampling,...Ch. 36 - What are chance variations?Ch. 36 - Prob. 3RQCh. 36 - Define standard deviation. Why is it important...Ch. 36 - Describe what is meant by statistical process...Ch. 36 - When is a process out of control? Explain.Ch. 36 - Explain why control charts are developed. How...Ch. 36 - What is a loss function? How is it used?Ch. 36 - What do control limits indicate?Ch. 36 - Prob. 10RQ
Ch. 36 - What is acceptance sampling? Why was it developed?Ch. 36 - Prob. 12RQCh. 36 - What is meant by six-sigma quality?Ch. 36 - Prob. 14RQCh. 36 - Prob. 15RQCh. 36 - Give three methods of nondestructive testing...Ch. 36 - Explain why major efforts are continually being...Ch. 36 - Prob. 18QLPCh. 36 - Prob. 19QLPCh. 36 - Prob. 20QLPCh. 36 - Prob. 21QLPCh. 36 - Prob. 22QLPCh. 36 - What are the advantages of automated...Ch. 36 - Prob. 24QLPCh. 36 - Prob. 25QLPCh. 36 - Explain why GO and NOT GO gages (see Section...Ch. 36 - Prob. 27QLPCh. 36 - Prob. 28QLPCh. 36 - Prob. 29QLPCh. 36 - Prob. 31QLPCh. 36 - Beverage-can manufacturers try to achieve failure...Ch. 36 - Assume that in Example 36.3 the number of samples...Ch. 36 - Calculate the control limits for averages and...Ch. 36 - Calculate the control limits for (a) number of...Ch. 36 - In an inspection with a sample size of 12 and a...Ch. 36 - Prob. 37QTPCh. 36 - The average of averages of a number of samples of...Ch. 36 - Prob. 39QTPCh. 36 - Prob. 40QTPCh. 36 - Prob. 41SDPCh. 36 - Describe your thought on whether products should...Ch. 36 - Prob. 44SDPCh. 36 - Prob. 45SDPCh. 36 - Prob. 46SDPCh. 36 - Prob. 47SDPCh. 36 - Prob. 48SDPCh. 36 - Many components of products have a minimal effect...
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- 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 SOLUTIONSarrow_forwardAuto Controls Hand sketch the root Focus of the following transfer function How many asymptotes are there ?what are the angles of the asymptotes?Does the system remain stable for all values of K NO COPIED SOLUTIONSarrow_forward-400" 150" in Datum 80" 90" -280"arrow_forward
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