EBK MANUFACTURING ENGINEERING & TECHNOL
7th Edition
ISBN: 9780100793439
Author: KALPAKJIAN
Publisher: YUZU
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Textbook Question
Chapter 7, Problem 5RQ
Explain the differences between linear, branched, and cross-linked polymers.
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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 7 Solutions
EBK MANUFACTURING ENGINEERING & TECHNOL
Ch. 7 - Summarize the important mechanical and physical...Ch. 7 - What are the major differences between the (a)...Ch. 7 - List properties that are influenced by the degree...Ch. 7 - What is the difference between condensation...Ch. 7 - Explain the differences between linear, branched,...Ch. 7 - What is the glass-transition temperature?Ch. 7 - List and explain the additives commonly used in...Ch. 7 - What is crazing?Ch. 7 - What are polyblends?Ch. 7 - List the major differences between thermoplastics...
Ch. 7 - What is an elastomer?Ch. 7 - What effects does a plasticizing agent have on a...Ch. 7 - Define the following abbreviations: PMMA, PVC,...Ch. 7 - Explain why it would be advantageous to produce a...Ch. 7 - What are the differences and similarities of...Ch. 7 - Are molecular weight and degree of polymerization...Ch. 7 - Why do polymers need to be dried before...Ch. 7 - What characteristics of polymers make them...Ch. 7 - Do polymers strain harden more than metals or vice...Ch. 7 - Inspect various plastic components in an...Ch. 7 - Give applications for which flammability of...Ch. 7 - What characteristics make polymers advantageous...Ch. 7 - What properties do elastomers have that...Ch. 7 - Do you think that the substitution of plastics for...Ch. 7 - Is it possible for a material to have a hysteresis...Ch. 7 - Observe the behavior of the specimen shown in Fig....Ch. 7 - Add more to the applications column in Table 7.3.Ch. 7 - Discuss the significance of the glass-transition...Ch. 7 - Prob. 29QLPCh. 7 - Explain how cross-linking improves the strength of...Ch. 7 - Describe the methods by which the optical...Ch. 7 - How can polymers be made to conduct electricity?...Ch. 7 - Explain the reasons for which elastomers were...Ch. 7 - Give several examples of plastic products or...Ch. 7 - Describe your opinions regarding the recycling of...Ch. 7 - Explain how you would go about determining the...Ch. 7 - Compare the values of the elastic modulus, given...Ch. 7 - Why is there so much variation in the stiffness of...Ch. 7 - Explain why thermoplastics are easier to recycle...Ch. 7 - Give an example where crazing is desirable.Ch. 7 - Describe the principle behind shrink wrapping.Ch. 7 - List and explain some environmental pros and cons...Ch. 7 - List the characteristics required of a polymer for...Ch. 7 - How can you tell whether a part is made of a...Ch. 7 - As you know, there are plastic paper clips...Ch. 7 - By incorporating small amounts of a blowing agent,...Ch. 7 - In injection-molding operations (Section 19.3), it...Ch. 7 - From an environmental standpoint, do you feel it...Ch. 7 - Calculate the areas under the stressstrain curve...Ch. 7 - Prob. 50QTPCh. 7 - Prob. 51QTPCh. 7 - Estimate the number of molecules in a typical...Ch. 7 - Using strength and density data, determine the...Ch. 7 - Prob. 54QTPCh. 7 - Prob. 55SDPCh. 7 - Describe the design considerations involved in...Ch. 7 - Assume that you are manufacturing a product in...Ch. 7 - Assume you work for a company that produces...Ch. 7 - Prob. 59SDPCh. 7 - Make a list of products or parts that currently...Ch. 7 - Prob. 61SDPCh. 7 - Prob. 62SDPCh. 7 - Prob. 63SDPCh. 7 - Prob. 64SDPCh. 7 - With Table 7.3 as a guide, inspect various...
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