ODE Homework 5
4.2. Homogeneous Equations with Constant Coefficients
1. Find the general solution of the differential equation
y (6) + y = 0
[4.2 #16]
6
Sol. The
characteristic
equation
is r + 1 = 0. Thus we get
r = cos +2k
+ i sin +2k
, k = 0, 1, 2, 3,
Getting Acquainted with MATLAB
CEE/MAE M20
Introduction to Computer Programming with MATLAB
What is MATLAB?
MATLAB = MATrix LABoratory
MathWorks (the developers of MATLAB): MATLAB is a
high-level language and interactive environment for numerical
computat
Mechanical and Aerospace Engineering Department
MAE 101: Statics and Strength of Materials
Instructor: Lihua Jin ([email protected])
Required Text: Statics and Mechanics of Materials
by Bedford, Fowler and Leichti
Forces
Forces
F
Line of action is a
Mechanical and Aerospace Engineering Department
MAE 101: Statics and Strength of Materials
Instructor: Lihua Jin ([email protected])
Required Text: Statics and Mechanics of Materials
by Bedford, Fowler and Leichti
Review of Vectors
NEWTONIAN MECHANIC
Mechanical and Aerospace Engineering Department
MAE 101: Statics and Strength of Materials
Instructor: Lihua Jin ([email protected])
Required Text: Statics and Mechanics of Materials
by Bedford, Fowler and Leichti
Forces
Forces
F
Line of action is a
CHAPTER 5:
SERIES SOLUTION OF SECOND ORDER
DIFFERENTIAL EQUATIONS WITH VARIABLE
COEFFICIENTS
POWER SERIES: DEFINITION AND PROPERTIES
Power Series Representation of a given function f (x)
m
n
If, for a given x , the limit lim an x x0 exists
m
n0
(bounded)
Mechanical and Aerospace Engineering Department
MAE 101: Statics and Strength of Materials
Instructor: Lihua Jin ([email protected])
Office: Eng IV 37-134
Required Textbook: Statics and Mechanics of Materials
by Bedford, Fowler and Leichti
MAE 101
Te
05/18/17
MAE 182A Lecture Notes: Chatterjee
1
05/18/17
MAE 182A Lecture Notes: Chatterjee
2
EQ. (1)
y1(s )
W (s )
O
y (n )(s )
1
05/18/17
yn (s )
yn (n )(s )
MAE 182A Lecture Notes: Chatterjee
3
Application of Method of Method of Variation of paramet
Mechanical and Aerospace Engineering Department
MAE 101: Statics and Strength of Materials
Instructor: Lihua Jin ([email protected])
Required Text: Statics and Mechanics of Materials
by Bedford, Fowler and Leichti
Forces
Forces
F
Line of action is a
PROBLEM 1.2
KNOWN: Thickness and thermal conductivity of a wall. Heat flux applied to one face and
temperatures of both surfaces.
FIND: Whether steady-state conditions exist.
SCHEMATIC:
L = 10 mm
T2 = 30C
q = 20 W/m2
T1 = 50C
qcond
k = 12 W/mK
ASSUMPTIONS
already committed in the early stages of the design. It is important to
realize that the best chance to influence life cycle costs occurs during the
early, conceptual phase of the design process. Improvements in
efficiency and quality during this phase sh
an extended period of time.) Two new definitions are also presented
here, routine and detailed. A routine inspection is a visual
examination or check of the item, but no disassembly is required. A
detailed inspection is a thorough examination of the item
use it inappropriately. 43.13 Performance rules (general) This section
deals with the specific requirements for conducting maintenance. (Note:
This section is probably the best to reflect the relationship between the
FAAs numbering of ACs and the regulati
cases and cannot be answered by experiments alone. It needs a model in
the sense of a theoretical description. A deeper understanding of
GALILEI's bending problem would have required a theory, which did
not exist in the 17th century. Nevertheless, enginee
or style of a particular product: the cheapest model of this car has a
1300cc engine 7. a theoretical description of the way a system or process
works: a computer model of the British economy 8. adj excellent or
perfect: a model husband 9. being a small s
the shape and dimensions of the cross section, GALILEI's structural
experiment actually did not reveal material properties. The obvious
question that arises from any experiment is: What can we learn from it?
- or more precisely: How does this test configu
still part of their responsibility. Therefore, a professional and ethical
technician will want to help the customer understand his or her
responsibilities in maintaining and documenting the airworthiness of the
aircraft. Subpart EMaintenance, Preventive M
complexity of technology on todays aircraft demands a significant level
of communication to properly accomplish maintenance, preventive
maintenance, rebuilding, or alteration. This communication frequently
comes in written form, i.e., manufacturers mainte
modelling on a microscopic length scale is in general not feasible. While
studying the external actions on objects, it will, except for specific
questions concerning the relations between micro- and macroscopic
properties, not be necessary to account for
usage of the feature should be forced by the design from time to time
(segment 5.), in order to renew the players interest in the feature as it is
(Berlyne, 1955). 3. ARCHITECTING GAMEPLAY Once understood
the importance of game mechanics and how to deal w
introduce different curvilinear coordinate systems in different
configurations, see below in section 4.5. EngMech-Script.doc,
29.11.2005 - 17 - x = xi ei (4-5) with the (Cartesian) coordinates xi = x
ei , i = 1, 2, 3. (4-6) The body changes its position i
quantities and units 77 A3.1 Definitions 77 A3.2 SI units 78 A3.3
Decimal fractions and multiples of SI units 79 A3.4 Conversion between
US and SI units 79 A4. MURPHY's laws 80 EngMech-Script.doc,
29.11.2005 - 6 - Isaac Newton (1643-1727) painted by Godfr
commonly referred to as the 413 test. (Refer to 91.413, which
requires that no person may use a transponder unless it has had this test
completed successfully within the preceding 24 months.) This section
specifies an extremely complex set of tests, which
those maintenance actions, which are defined 12-21 the aircraft for
return to service following the inspection.) Refer to 65.95(a)(2), which
states that an IA must perform an annual inspection. 2. The aircraft and
engine must be cleaned prior to conductin
on. [Figure 12-16] Manufacturers Published Data The original
equipment manufacturer (OEM) is usually the best source of information
for the operation of and maintenance on a particular product. Whether
the product is a complete aircraft (Cessna 172, Boein
systems considered. EngMech-Script.doc, 29.11.2005 - 15 - Finally,
every function of space and time considered in the following is supposed
to be differentiable up to any desired order in the region of interest. 3.3
Density and Mass It has already been st
cabin or cockpit entrance so that it is legible to the passengers or crew
(91.203(b). Since the ability to obtain this certificate is based upon the
requirement to inspect the aircraft to determine that it conforms to type
design and is in condition for s