Mechanical Properties and Selection of Engineering Materials
MAE 2120

Spring 2015
Section 5.6, 5.7 and 6.1
5.6
2) We rst have to write x as a linear combination of the eigenvectors, that is solve
0
1
2 3
2
2
0
x = 5 . The solution is 1 . So
1 3
3 5
7
3
2
xk = Ak (2v1 + v2 + 2v3 ) = 2(3k )v1 + (.8)k v2 + 2(.6)k v3
which is approxima
Mechanical Properties and Selection of Engineering Materials
MAE 2120

Spring 2015
Section 6.5
6.5
2 1
2 1
5
2 2 2
2 2 2
12 8
2 0 =
8
2) A = 2 0 so AT A =
. As AT b =
1
0 3
1
0 3
8 10
2 3
2 3
1
24
12 8
x
24
, we have to solve
=
which has solution x = 4, y = 3 is
2
8 10
y
2
5
4
8 is an actual solution!
our least squares solution. No
Mechanical Properties and Selection of Engineering Materials
MAE 2120

Spring 2015
ENGRD 2210 Thermodynamics
Fall 2014
Homework 8
Due: 10/31/2014, 5 PM
Please turn in only one copy per group (Upson Drop Box)
Write group number and names of all contributing group members on the paper; whether it is a
Wednesday or Thursday group
Express a
Mechanical Properties and Selection of Engineering Materials
MAE 2120

Spring 2015
ENGRD 2210 Thermodynamics
Fall 2014
Homework 8
Due: 10/31/2014, 5 PM
Please turn in only one copy per group (Upson Drop Box)
Write group number and names of all contributing group members on the paper; whether it is a
Wednesday or Thursday group
Express a
Mechanical Properties and Selection of Engineering Materials
MAE 2120

Spring 2015
Sections 4.5, 4.6, 4.7
4.5
p + 2q
p
4) The set of all vectors
3p q is the span of the two vectors
p+q
These are clearly not multiples of one another, so their span is two
form a basis of the span.
1
2
1
0
3 and 1 .
1
1
dimensional, and they
1
3
Mechanical Properties and Selection of Engineering Materials
MAE 2120

Spring 2015
M&AE 2120 Prelim 2 Formula Sheet Page 1: These formulae may be used without derivation
Stress Menu/Toolbox
= P/A
= V Q/It
= Mc/I
= T/J
Properties of circular crosssections
I=
For solid circular shaft: A = r2
4
r
4 O
For thin walled hollow circular s
Mechanical Properties and Selection of Engineering Materials
MAE 2120

Spring 2015
Do Your Job Better
Home
Advice
Do Your Job Better
July 11, 2012
Grading and Its Discontents
By Ahmed Afzaal
I like to think of college as a community of learners whose members
are engaged in a common enterprise as well as a shared struggle
against the for
Mechanical Properties and Selection of Engineering Materials
MAE 2120

Spring 2015
ENGRD 2210
Problem set 11
Due Friday December 5, 2014, at 5 PM
Neglect kinetic and potential energy effects unless otherwise indicated.
As of the end of the lecture of 11/24, we have covered all the material needed for problems
1 and 2. You should also be
Mechanical Properties and Selection of Engineering Materials
MAE 2120

Spring 2015
Problem 1
a) Sketch the cycle on a pV diagram and on a Ts diagram.
On the pV diagram, the isothermal process curves (2 to 3 and 4 to 1) are defined by Boyles
Law (PV = constant at constant temperature), and the adiabatic process curves (1 to 2 and 3 to
Mechanical Properties and Selection of Engineering Materials
MAE 2120

Spring 2015
ENGRD 2210 Thermodynamics
Fall 2014
Homework 9
Due: 11/7/2014, 5 PM
Please turn in only one copy per group (Upson Drop Box)
Write group number and names of all contributing group members on the paper; whether it is a
Wednesday or Thursday group
Express al
Mechanical Properties and Selection of Engineering Materials
MAE 2120

Spring 2015
1
PRACTICE PRELIM QUESTIONS
1) A spacecraft needs to be cooled in order to counteract intense radiation by the sun. The
temperature of the spacecraft is to be maintained at 300 K. The spacecraft carries liqui
Mechanical Properties and Selection of Engineering Materials
MAE 2120

Spring 2015
1
B1. A weight of 50 kg is attached to an axle by means of a frictionless rope. The axle is attached to a
paddle wheel that is immersed in 0.4 kg of a fluid inside a perfectly insulated container. (See
Mechanical Properties and Selection of Engineering Materials
MAE 2120

Spring 2015
A1.Amixtureofwaterandsteaminaclosedcontainerisatatemperatureof150C,andthequalityof
themixtureis0.100.
a) Findthespecificvolumeofthemixtureinm3/kg.
b) Heatisaddedtothemixtureuntilthepressurereaches700kPa.Findthequalityofthemixture
atthispressure.
A2.Apisto
Mechanical Properties and Selection of Engineering Materials
MAE 2120

Spring 2015
Darren Pagan
ENGRD 2020 Prelim 1 Question 2
10/8/14
Prelim 1 Q2 Solution
Part A (2 Pts)
o 1/2 pt Labeled Coordinate System
o 1/2 pt FREE body diagram (not attached to ground or wire)
o 1 pts Correct description of forces and moments applied to body
Part B