EBK MANUFACTURING ENGINEERING & TECHNOL
7th Edition
ISBN: 8220100793431
Author: KALPAKJIAN
Publisher: PEARSON
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Chapter 9, Problem 29QLP
How would you go about trying to determine the strength of a fiber?
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find the laplace transform for the
flowing function
2(1-e)
Ans. F(s)=-
S
12)
k
0
Ans. F(s)=
k
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0 a
2a 3a 4a
13)
2+
Ans. F(s)=
1
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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)…
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 9 Solutions
EBK MANUFACTURING ENGINEERING & TECHNOL
Ch. 9 - Distinguish between composites and metal alloys.Ch. 9 - Describe the functions of the matrix and the...Ch. 9 - Name the reinforcing fibers generally used to make...Ch. 9 - What is the range in length and diameter of...Ch. 9 - List the important factors that determine the...Ch. 9 - Comment on the advantages and limitations of...Ch. 9 - What are the most commonly used matrix materials?...Ch. 9 - Describe the advantages of hybrid composites over...Ch. 9 - What material properties are improved by the...Ch. 9 - Describe the purpose of the matrix material.
Ch. 9 - What are the most common types of glass fibers?Ch. 9 - Explain the difference between a carbon fiber and...Ch. 9 - How can a graphite fiber be made electrically and...Ch. 9 - What is a whisker? What is the difference between...Ch. 9 - Describe the composition of boron fibers. Why are...Ch. 9 - Give a succinct definition of fiber, yarn, and...Ch. 9 - How do you think the use of straw mixed with clay...Ch. 9 - What products have you personally seen that are...Ch. 9 - Describe applications that are not well suited for...Ch. 9 - Is there a difference between a composite material...Ch. 9 - Identify metals and alloys that have strengths...Ch. 9 - What limitations or disadvantages do composite...Ch. 9 - Give examples of composite materials other than...Ch. 9 - Explain why the behavior of the materials depicted...Ch. 9 - Explain why fibers are so capable of supporting a...Ch. 9 - Do metal-matrix composites have any advantages...Ch. 9 - Give reasons for the development of ceramic-matrix...Ch. 9 - Explain how you would go about determining the...Ch. 9 - How would you go about trying to determine the...Ch. 9 - Glass fibers are said to be much stronger than...Ch. 9 - Describe situations in which a glass could be used...Ch. 9 - When the American Plains states were settled, no...Ch. 9 - By incorporating small amounts of a blowing agent,...Ch. 9 - Referring to Fig. 9.2c, would there be an...Ch. 9 - Calculate the average increase in the properties...Ch. 9 - In Example 9.1, what would be the percentage of...Ch. 9 - Calculate the percent increase in the mechanical...Ch. 9 - Calculate the stress in the fibers and in the...Ch. 9 - Repeat the calculations in Example 9.1 if (a)...Ch. 9 - Refer to the properties listed in Table 7.1. If...Ch. 9 - Plot the elastic modulus and strength of an...Ch. 9 - For the data in Example 9.1, what should be the...Ch. 9 - It is desired to obtain a composite material with...Ch. 9 - A rectangular cantilever beam, 100 mm high, 20 mm...Ch. 9 - What applications for composite materials can you...Ch. 9 - Using the information given in this chapter,...Ch. 9 - Would a composite material with a strong and stiff...Ch. 9 - Make a list of products for which the use of...Ch. 9 - Inspect Fig. 9.1 and explain what other components...Ch. 9 - Name applications in which both specific strength...Ch. 9 - What applications for composite materials can you...Ch. 9 - As with other materials, the mechanical properties...Ch. 9 - Developments are taking place in techniques for...Ch. 9 - As described in this chapter, reinforced plastics...Ch. 9 - Comment on your observations on the design of the...Ch. 9 - Make a survey of various sports equipment and...Ch. 9 - Several material combinations and structures were...Ch. 9 - It is possible to make fibers or whiskers with a...Ch. 9 - Describe how you can produce some simple composite...Ch. 9 - Gel spinning is a specialized process used in...Ch. 9 - Figure P9.65 shows a section of a...
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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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