Manufacturing Engineering & Technology
7th Edition
ISBN: 9780133128741
Author: Serope Kalpakjian, Steven Schmid
Publisher: Prentice Hall
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Textbook Question
Chapter 10, Problem 18QLP
Is there porosity in a chocolate bar? In an ice cube? Explain.
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Students have asked these similar questions
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
Manufacturing Engineering & Technology
Ch. 10 - Explain why casting is an important manufacturing...Ch. 10 - Why do most metals shrink when they are cast?Ch. 10 - What are the differences between the...Ch. 10 - What are dendrites? Why are they called so?Ch. 10 - Describe the difference between short and long...Ch. 10 - What is superheat? Is it important? What are the...Ch. 10 - Define shrinkage and porosity. How can you tell...Ch. 10 - What is the function of chills? What are they made...Ch. 10 - Why is the Reynolds number important in casting?Ch. 10 - What is a sprue? What shape should a sprue have if...
Ch. 10 - How is fluidity defined? Why is it important?Ch. 10 - Explain the reasons for hot tearing in castings.Ch. 10 - Why is it important to remove dross or slag during...Ch. 10 - Why is Bernoullis equation important in casting?Ch. 10 - Describe thixocasting and rheocasting.Ch. 10 - What is Chvorinovs Rule?Ch. 10 - How is a blister related to a scab?Ch. 10 - Is there porosity in a chocolate bar? In an ice...Ch. 10 - Describe the stages involved in the contraction of...Ch. 10 - Explain the effects of mold materials on fluid...Ch. 10 - It is known that pouring metal at a high rate into...Ch. 10 - Describe the events depicted in Fig. 10.5.Ch. 10 - Would you be concerned about the fact that...Ch. 10 - Review Fig. 10.8 and make a summary, explaining...Ch. 10 - Make a sketch of volume vs. temperature for a...Ch. 10 - What practical demonstrations can you suggest to...Ch. 10 - Explain why a casting may have to be subjected to...Ch. 10 - List and explain the reasons why porosity can...Ch. 10 - Why does porosity have detrimental effects on the...Ch. 10 - A spoked handwheel is to be cast in gray iron. In...Ch. 10 - Which of the following considerations are...Ch. 10 - Explain why the constant C in Eq. (10.7) depends...Ch. 10 - Are external chills as effective as internal...Ch. 10 - Explain why, as shown in Table 10.1, gray cast...Ch. 10 - Referring to Fig. 10.11, explain why internal...Ch. 10 - Note the shape of the two risers shown in Fig....Ch. 10 - Is there any difference in the tendency for...Ch. 10 - What is the influence of the cross-sectional area...Ch. 10 - It has long been observed that (a) low pouring...Ch. 10 - In casting metal alloys, what would you expect to...Ch. 10 - If you inspect a typical cube of ice, you are...Ch. 10 - How can you tell whether cavities in a casting are...Ch. 10 - Describe the drawbacks to having a riser that is...Ch. 10 - Reproduce Fig. 10.2 for a casting that is...Ch. 10 - List the process variables that affect the...Ch. 10 - Assume that you have a method of measuring...Ch. 10 - A round casting is 0.2 m (7.9 in.) in diameter and...Ch. 10 - A cylinder with a diameter of 2.0 in. and a height...Ch. 10 - The constant C in Chvorinovs rule is given as 2.5...Ch. 10 - Pure copper is poured into a sand mold. The metal...Ch. 10 - For the sprue described in Problem 10.58, what...Ch. 10 - When designing patterns for casting, pattern...Ch. 10 - Can you devise fluidity tests other than that...Ch. 10 - Figure P10.55 indicates various defects and...Ch. 10 - The fluidity test shown in Fig. 10.9 illustrates...Ch. 10 - Utilizing the equipment and materials available in...Ch. 10 - One method of relieving stress concentrations in a...Ch. 10 - Describe the effects on mold design, including the...Ch. 10 - Small amounts of slag often persist after skimming...Ch. 10 - Design an experiment to measure the constants C...
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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_forwardThe 120 kg wheel has a radius of gyration of 0.7 m. A force P with a magnitude of 50 N is applied at the edge of the wheel as seen in the diagram. The coefficient of static friction is 0.3, and the coefficient of kinetic friction is 0.25. Find the acceleration and angular acceleration of the wheel.arrow_forwardAuto Controls Using MATLAB , find the magnitude and phase plot of the compensators NO COPIED SOLUTIONSarrow_forward
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