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 29, Problem 6RQ
Name the four categories of miniature systems identified in this chapter.
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An elastic bar of length L = 1m and cross section A = 1cm2 spins with
angular velocity ω about an axis, as shown in the figure below. The
radial acceleration at a generic point x along the bar is a(x) = ω2x,
where ω= 100rad/s is the angular velocity. The bar is pinned on the
rotation axis at x = 0. A mass M = 1kg is attached to the right end of
the bar. Due to the radial acceleration, the bar stretches along x with
displacement function u(x). The displacement u(x) solves the BVP
(strong form) sketched below:
d
dx (σ(x)) + ρa(x) = 0 PDE
σ(x) = E du
dx Hooke’s law
(1)
u(0) =?? essential BC
σ(L) =?? natural BC
where σ(x) is the axial stress in the rod, ρ= 2700kg /m3 is the mass
density, and E = 70GPa is the Young’s modulus
1. Define appropriate BCs for the strong BVP
2. Find the solution of the strong BVP analytically
3. Derive the weak form of the BVP.
Gruebler's formula for the following mechanism?
w/I
- |
العنوان
I need a detailed drawing with explanation
SOLL
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4
حكا
The guide vane angle of a reaction turbine (Francis type
make 20° with the tangent. The moving blade angle at entry is
120°. The external diameter of runner is 450 mm and the internal
diameter is 300 mm. Runner width at entry is 62.5mm and at exit
100mm. Calculate the blade angle at exit for radial discharge.
96252
-20125
750 ×2.01
Chapter 29 Solutions
DeGarmo's Materials and Processes in Manufacturing
Ch. 29 - Over the latter half of the 20th century, what...Ch. 29 - What was the major motivation for developing...Ch. 29 - Prob. 3RQCh. 29 - What is an example of a device feature that is...Ch. 29 - What type of manufacturing technology dominates...Ch. 29 - Name the four categories of miniature systems...Ch. 29 - Give two differences between lab-on-a-chip and...Ch. 29 - What is a scaling law?Ch. 29 - As the primary dimensions of an object decrease,...Ch. 29 - In the design of a water heater, the mean time...
Ch. 29 - Prob. 11RQCh. 29 - Name two conventional manufacturing processes that...Ch. 29 - Prob. 13RQCh. 29 - Why does breadth of scale of a product have an...Ch. 29 - What is the most complicated, expensive, and...Ch. 29 - Name three purposes that a resist mask can play.Ch. 29 - Name four key lithography methods.Ch. 29 - Name two through-mask lithography techniques.Ch. 29 - Name two direct-write lithography techniques.Ch. 29 - List the sequence of steps involved in...Ch. 29 - Of the two major classifications of photoresists,...Ch. 29 - List four requirements of a photoresist.Ch. 29 - What limits the resolution of a photoresist?Ch. 29 - What is meant by resist sensitivity?Ch. 29 - What is one requirement that contributes to the...Ch. 29 - List the three types of exposure methods used in...Ch. 29 - Why is projection printing equipment called a...Ch. 29 - What are typical materials etched during...Ch. 29 - What is etch bias?Ch. 29 - Prob. 30RQCh. 29 - What are some possible defects that can result...Ch. 29 - What are some possible defects that can result...Ch. 29 - List and describe two properties of etchants.Ch. 29 - What is etch anisotropy dependent upon?Ch. 29 - What is the difference between wet and dry?...Ch. 29 - What is dry etching?Ch. 29 - What are the three main categories of dry etching...Ch. 29 - What is the difference between plasma etching and...Ch. 29 - What is deep reactive ion etching?Ch. 29 - What is a benefit of using UV lasers to machine...Ch. 29 - Which type of non-lithographic micromachining...Ch. 29 - What are thin films?Ch. 29 - A) What is the difference between solution...Ch. 29 - What are the two broad categories of vapor...Ch. 29 - List two different types of physical vapor...Ch. 29 - List two advantages of sputtering over...Ch. 29 - What is meant by step coverage with regards to...Ch. 29 - Why is step coverage important?Ch. 29 - Prob. 49RQCh. 29 - What does gettering mean in relation to wafer...Ch. 29 - How are undesirable gas-phase reactions controlled...Ch. 29 - What is the key difference in the reactor designs...Ch. 29 - What are the two types of LPCVD reactor designs?...Ch. 29 - In metallization, what is the difference between a...Ch. 29 - What is the advantage of using plasma-enhanced on...Ch. 29 - A) What is epitaxy? B) is it important for...Ch. 29 - Name four techniques for solution deposition onto...Ch. 29 - Name four roll-to-roll processing techniques for...Ch. 29 - What is a semiconductor?Ch. 29 - Name three common semiconductor materials.Ch. 29 - Give three reasons why silicon is the most popular...Ch. 29 - Prob. 62RQCh. 29 - What is a silicon boule?Ch. 29 - Prob. 64RQCh. 29 - What are some geometric concerns involved with...Ch. 29 - What is meant by the term doping?Ch. 29 - What is the difference between n�type and...Ch. 29 - Name three methods for doping a silicon wafer.Ch. 29 - Prob. 69RQCh. 29 - Prob. 70RQCh. 29 - Prob. 71RQCh. 29 - Why are rapid thermal processing technologies...Ch. 29 - What are two ways in which silicon dioxide is...Ch. 29 - Give two reasons why wet oxidation is better...Ch. 29 - What is a p�n junction? \What can it be used...Ch. 29 - Prob. 76RQCh. 29 - Assuming an n�doped substrate is clean, list the...Ch. 29 - What is planarization and why is it needed?Ch. 29 - What is meant by the term ULSI?Ch. 29 - In general, what technological breakthroughs were...Ch. 29 - What drives the increase in component density and...Ch. 29 - Why are clean rooms so important to...Ch. 29 - What is the advantage of electron microscopy over...Ch. 29 - What is the collective advantage of...Ch. 29 - Why do samples analyzed in an electron microscopes...Ch. 29 - What are two differences between a scanning...Ch. 29 - What is important about a dual�beam focused ion...Ch. 29 - Why is white light normally preferred for...Ch. 29 - What is one advantage of an atomic force...Ch. 29 - What is the breadth of scale of an automotive...Ch. 29 - What is the breadth of scale of a computer...Ch. 29 - Which has a larger breadth of scale, the...Ch. 29 - Prob. 4PCh. 29 - A piece of silicon has an integrated resistor...
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