Foundations of Materials Science and Engineering
6th Edition
ISBN: 9781259696558
Author: SMITH
Publisher: MCG
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Chapter 1.9, Problem 37SEP
A certain application requires a material that must be very hard and corrosion resistant at room temperature and atmosphere. It would be beneficial, but not necessary, if the material were also impact resistant. (a) If you only consider the major requirements, which classes of materials would you search for this selection? (b) If you consider both major and minor requirements, which classes would you search? (c) Suggest a material.
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(30 pts) Problem 1
A thin uniform rod of mass m and length 2r rests in a smooth hemispherical bowl of radius r. A
moment M
mgr
4
is applied to the rod. Assume that the bowl is fixed and its rim is in the
horizontal plane.
HINT: It will help you to find the length l of that portion of the rod that remains outside the
bowl.
M
2r
a) How many degrees of freedom does this system have?
b) Write an equation for the virtual work in terms of the angle 0 and the motion of the
center of mass (TF)
c) Derive an equation for the variation in the position of the center of mass (i.e., Sŕƒ)
a. HINT: Use the center of the bowl as the coordinate system origin for the problem.
d) In the case of no applied moment (i.e., M 0), derive an equation that can be used to
solve for the equilibrium angle of the rod. DO NOT solve the equation
e) In the case of an applied moment (i.e., M
=
mgr
= -) derive an equation that can be used to
4
solve for the equilibrium angle of the rod. DO NOT solve the equation.
f) Can…
Please show all work step by step
Chapter 1 Solutions
Foundations of Materials Science and Engineering
Ch. 1.9 - What are materials? List eight commonly...Ch. 1.9 - What are the main classes of engineering...Ch. 1.9 - What are some of the important properties of each...Ch. 1.9 - Define a composite material. Give an example of a...Ch. 1.9 - Provide a list of characteristics for structural...Ch. 1.9 - Define smart materials. Give an example of such...Ch. 1.9 - Prob. 7KCPCh. 1.9 - Prob. 8KCPCh. 1.9 - Nickel-base superalloys are used in the structure...Ch. 1.9 - Make a list of items that you find in your kitchen...
Ch. 1.9 - Make a list of all the major components of your...Ch. 1.9 - Make a list of major components in your automobile...Ch. 1.9 - Make a list of major components in your computer...Ch. 1.9 - Make a list of major components in your classroom...Ch. 1.9 - Perform a search on the history of automobiles and...Ch. 1.9 - Perform a search on the history of wheels and...Ch. 1.9 - Perform a search on the history of recording media...Ch. 1.9 - Perform a search on the history of sport track...Ch. 1.9 - List some materials usage changes that you have...Ch. 1.9 - (a) What kind of material is OFHC copper? (b) What...Ch. 1.9 - (a) To which class of materials does PTFE belong?...Ch. 1.9 - Why should civil engineers be knowledgeable about...Ch. 1.9 - Why should mechanical engineers be knowledgeable...Ch. 1.9 - Why should chemical engineers be knowledgeable...Ch. 1.9 - Why should ocean engineers be knowledgeable about...Ch. 1.9 - Why should petroleum engineers be knowledgeable...Ch. 1.9 - Why should electrical engineers be knowledgeable...Ch. 1.9 - Why should biomedical engineers be knowledgeable...Ch. 1.9 - (a) To which class of materials does kevlar...Ch. 1.9 - Prob. 30AAPCh. 1.9 - Prob. 31AAPCh. 1.9 - What factors might cause materials usage...Ch. 1.9 - Consider the common household component in a...Ch. 1.9 - (a) Name the important factors in selecting...Ch. 1.9 - (a) Name the important criteria for selecting...Ch. 1.9 - Why is it important or helpful to classify...Ch. 1.9 - A certain application requires a material that...Ch. 1.9 - Give as many examples as you can on how materials...Ch. 1.9 - When selecting materials to be used inside the...Ch. 1.9 - In the sport of tennis, for optimal performance,...
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