ME 360: Modeling, Analysis, and Control of Dynamic Systems
Professor Tilbury, University of Michigan, Winter 2009 Linearization Handout September 10, 2009 Basic idea: The local behavior of a nonlinear system can be approximated by its linearization about
ME360  Dynamic Systems
Prof. Gillespie  Fall 2010
HW 4  Due Sept 30
Problem 1 Problem 2.13, page 70. (Same in the previous book edition). Problem 2 Property No. 3 in Table 3.3.2 on page 104 of your book is a property that I did not derive in lecture. D
ME 360: Modeling,Analysis and Control of Dynamic
Systems
Homework 10 solution
Assigned: Thurs. Nov. 6, 2014
Due: November 13, 2014
1. Problem 10.6
(a)
!
= ! ! ! ! , ! is the resistance of motor
!
(b)
(c)
is the answer
!(!)
ME 360: Modeling,Analysis and Control of Dynamic
Systems
Homework 7 solution Assigned:
Thurs. Oct. 23 ,2015 October
30, 2015
1
Problem 6.3, page 386
Let i1 be the current through R1 , R4 , i2 be the current through R2 , R3 .
Then,
Vs = (R1 + R4 )i1 = (R2
ME 360: Modeling,Analysis and Control of Dynamic
Systems
Homework 8 solution
Assigned: Thurs. Oct. 29, 2015
Due: November 5, 2015
1. Problem 6.21
Because and are parallel, the equivalent impedance is
Total impedance for the circuit is:
So the required tra
ME 360: Modeling,Analysis and Control of Dynamic
Systems
Homework 4 solution
Assigned: Thurs. Sept. 24,
2015 October 1, 2015
1. Problem 2.20b
5
C
C2
C
1
3
2
2
(s 4) (s 1) s 4 ( s 4)
s 1
C1 C3 0
5
15
5
=> C1 , C2 , C3
5C1 C2 8C3 0
9
9
9
4C C 16C 5
1
2
ME 360: Modeling,Analysis and Control of Dynamic
Systems
Homework 3 solution Assigned:
Thurs. Sept. 17, 2015
September 24, 2015
1
Problem 2.6, page 109, parts a,b,d
a. L cfw_x(t)=10+t2 :
X(s) = 10 + s23
s
b. L cfw_x(t)=6te5t + e3t :
6
1
X(s) = (s+5)2
H. erectus  first migration out of Africa
* Follows multiregional continuity model  2mya h.erectrus left africa and settled in diff parts of world
* Fossil evidence
* Regional continuity model  evolved simultaneously
* Controversy?
See lec for facts o
Victorian Network
Volume 4, Number 2
Winter 2012
Sex, Courtship and Marriage in Victorian Literature and Culture
i
Victorian Network
Volume 4, Number 2
Winter 2012
www.victoriannetwork.org
Guest Editor
Charlotte Mathieson
Editors
Katharina Boehm
Sarah Cro
The University of Michigan
Department of Mechanical Engineering
ME 320, Fall 2015
Homework #6  Due November 4, 2015
Problem 1: Problems 5.51 and 5.83 of the text.
Problem 2: Problems 5.69 and 5.70 of the text.
Problem 3:
(a) Problem 5.46 of the text.
(b)
Contributed by: S. Montazeri, P. Y. Papalambros University of Michigan
Personas
[MODULE 2.2]
Michigan Design Analytical Product Design
Personas
1
Contributed by: S. Montazeri, P. Y. Papalambros University of Michigan
Design a bag
for a laptop
Michigan De
In this lecture, the definitions and slides are actually significant, *
Religion = dharma? Dharma is something larger than religion, has to do with way of being, all
codes and virtues associated
Soldiers who exploited women people without dharma, no sens
Design Ethnography:
Understanding the User
What are user expectations?
How will the product be used?
When will the product be used?
How often will the product be used?
Is it possible to use the product in a way not
intended?
What is the users lifestyle an
Biological anthropologist look for genes that make us human
Primates provide standard to access human uniqueness
What defines primates?
Where do Primates live?
 African tropics
 South american tropics
 Asian tropics
 Most Found in undisturbed rainfo
ME 360: Modeling,Analysis and Control of Dynamic
Systems
Homework 5 solution Assigned:
Thurs. Oct. 1, 2015
October 8, 2015
1
Problem 3.15, page 158
Given:
I1 = 0.3kg m2 ; I2 = 0.5kg m2 ; T1 = 0.5N m; T2 = 0.3N m;
Question: compute the equivalent inertia o
ME 360: Modeling, Analysis and Control of Dynamic
Systems
Homework 2 Solution
Assigned: Thursday, Sept. 10, 2015
Due: Sept. 17, 2015
Problem 1
Problem 2
() 0 0
Alternatively, using
() 16 +
1
216
() = 4 +
() 0 16
1
8
Problem 3
(a)
Take x 0 and then x 0 or
ME 360: Modeling,Analysis and Control of Dynamic
Systems
Homework 8 solution
Assigned: Thurs. Oct. 24, 2013
Due: October 31, 2013
1. Problem 6.21
Because and are parallel, the equivalent impedance is
Total impedance for the circuit is:
So the required tra
ME 360: Modeling,Analysis and Control of Dynamic
Systems
Homework 6 solution
Assigned: Thurs. Oct. 9, 2014
Due: October 16, 2014
1. Problem 5.12
Let x1 = y, x2 = y, x3 =
y
1
x 3 = ( f (t) 7x1 4x2 5x3 )
2
2. Problem 5.14
Y (s)
6
= 2
F(s) 3s + 6s + 1
ME 360: Modeling,Analysis and Control of Dynamic
Systems
Homework 9 solution
Assigned: Thurs. Oct. 30,2014
Due: Thurs. Nov. 6, 2014
November 7, 2014
1
Problem 8.7, page 517
According to the equation (8.1.3) in page 475, the time constant of the rotational
ME 360: Modeling,Analysis and Control of Dynamic
Systems
Homework 7 solution
Assigned: Thurs. Oct. 16,2014
October 20, 2014
1
Problem 6.3, page 386
Let i1 be the current through R1 , R4 , i2 be the current through R2 , R3 .
Then,
Vs = (R1 + R4 )i1 = (R2 +
ME 360: Modeling,Analysis and Control of Dynamic
Systems
Homework 4 solution
Assigned: Thurs. Sept. 18,
2014 September 25, 2014
1. Problem 2.20b
5
C
C2
C
1
3
2
2
(s 4) (s 1) s 4 ( s 4)
s 1
C1 C3 0
5
15
5
=> C1 , C2 , C3
5C1 C2 8C3 0
9
9
9
4C C 16C 5
ME 360: Modeling, Analysis and Control of Dynamic
Systems
Homework 1 Solution
Assigned: Thursday, Sept. 4, 2014
Due: Sept. 11, 2014
Problem 1
Problem 2
Problem 3
(a)
Take x 0 and then x 0 or x M .
(b)
Let x f ( x) ax 1
x
M
x f
x axo 1 o
M x
x
axo 1 o
ME 360: Modeling,Analysis and Control of Dynamic
Systems
Homework 5 solution
Assigned: Thurs. Oct. 3,2013
October 9, 2013
1
Problem 3.15, page 158
Given:
I1 = 0.3kg m2 ; I2 = 0.5kg m2 ; T1 = 0.5N m; T2 = 0.3N m;
Question: compute the equivalent inertia on
ME 360: Modeling,Analysis and Control of Dynamic
Systems
Homework 3 solution Assigned:
Thurs. Sept. 11, 2014
September 18, 2014
1
Problem 2.6, page 109, parts a,b,d
a. L cfw_x(t)=10+t2 :
+ s23
X(s) = 10
s
b. L cfw_x(t)=6te5t + e3t :
6
1
X(s) = (s+5)
2
ME 360: Modeling, Analysis and Control of Dynamic Systems
Professor J.L. Stein
University of Michigan, Fall 2015
Homework #1
Assigned: Tue. Sept. 8, 2015
Due: Thurs. Sept. 10, 2015
Students may work together on the homework assignments, but individually p
ME 360: Modeling, Analysis, and Control of Dynamic Systems
Professor Stein
University of Michigan
Fall 2015
Exam #75 1
Wednesday, October 14, 2015
M
This exam is closed book and closed notes. One sheet of handwritten notes (8.5X11), one side is
allowed. N
Average for exam B+,ANuer pastoralists (mode of production implied, other mode of production is foraging)
*industrial agriculture  modern mode of production for a lot of countries
Assumption that pastoralists and hunters brough back most of food. In fac
Name: _
ME 250 Sketching HW1
1. Please fill this page with hand sketched straight lines in the horizontal and vertical directions. Have at least 20 lines that meet the requirement
of quality lines defined in the video.
Name: _
ME 250 Sketching HW1
2. Plea
Twin paradox
 environment matters
Proponents of IQ keep offering new support for it
Step I:
How to begin
 Are researchers vying for position in university
 Motives of critics
 Question biases (bias is product of culture, background), self
How to eval
Speciesmust be able to reproduce within same species
Speciationcreation of new species, offspring cannot reproduce
Mutationnew genes appear within species
Genetic driftgenes lost
Origins of humans
modern humans >1.8 million years
complex social org


The mismeasure of man (history of race and intelligence)
 Controversial study of skulls
 After Goulds death, claims were debunked
Scientists came forward and said
 Diff physical sizes not equivalent to different mental capabilities
 Does not fully