# AMME 2500 Engineering Dynamics

Mechanics

Nov 14, 2013 (4 years and 8 months ago)

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Unit of Study Outline

AMME 2500 Engineering Dynamics

Unit of Study Description

1
st

Semester, 6 Credits, Core Unit

Unit of Study Coordinator : Malik Altaee

Syllabus

Introduction to Planar Kinematics of Rigid Body; rigid body motion , translation,

a fixed axis, relative motion analysis using translating axes, relative motion analysis using
rotating axes. Introduction to Planar kinetics of Rigid Body: Force and Acceleration; moment of
inertia, planar kinetics equation of motion, equat
ions of motion of general plane motion, work
and
energy, impulse and momentum
.

Introduction to Three Dimensional Dynamics of Rigid
Bodies, Kinematics; ;translation, fixed
-
axis rotation, the time derivative of a vector measured
from either a fixed or transl
ating
-
rotating system , general motion, relative
-

motion analysis
using translating and rotating axes, rotation about a fixed point. Introduction to Three
Dimensional Dynamics of Rigid Bodies, Kinetics; moment and product of inertia, angular
momentum, k
inetic energy, equations of motion, gyroscopic motion: steady precession simplified
approach , torque free motion.

Variable Mass Dynamics, rocket motion.

Introduction to
Lagrangian Dynamics. Introduction to Mechanical Vibrations, Free vibration of particl
es;
equation of motion for undamped free vibration, natural frequency, equation of motion for
damped free vibration, damped natural frequency.

Unit of Study Aims/Goals:

Course Objectives

Students should:

Understand the basic concepts and methods emp
loyed in describing the dynamics of
rigid bodies, and develop the skill of solving two and three dimensional dynamics
problems, and be able to analysis the vibrations of systems with one degree of freedom.

The relationship of this Unit to previous UoS
:

This is a second course in engineering kinematics and dynamics, it is based on
engineering mechanics 1530, which is a pre
-
requisite for this UoS, the students should
have also passed a first year courses in mathematics and vector algebra.

The relatio
nship to subsequent UoS:

The knowledge gained in this unit of study is also used in other engineering subjects
such as MECH 350 System Dynamics and control, Mechanical Design 1, Mechanical
2A and Mechanical Design 2B.

.

Rel
ationship between this UoS and University generic attributes:

This unit of study is aimed at developing the students generic attributes in the following
areas:

-

Knowledge skills

o

Develop the essential knowledge in the fields of kinematics and
dynamics

o

Be ab
le to realistically model an engineering situation and to
apply a few fundamental, well understood principles to its
solution

o

Be able to thoroughly present and communicate knowledge
gained.

-

Thinking skills

o

Be able to exercise critical judgment

o

Be able to
visualize dynamics problems

o

Problem
-
solving abilities

-

Personal skills

o

The ability to communicate with others

-

Practical Skills

o

The ability to describe the physical world using the physical and
mathematical principles of mechanics..

o

Apply technical skills

The University generic attributes can be found at
.

Student Learning Outcomes:

By the end of this UoS, students
will be able to:

To classify the various types of rigid
-
body planar motion and to provide a relative motion
analysis of velocity and acceleration, using a translating frame of reference and rotating frame of
reference.

To d
evelop the planer kinetic equations of motion for a rigid body and to be able to apply them
to bodies undergoing general plane motion.

Apply the principle of work and energy to rigid
-
body planar kinetics.

Apply the principles of linear and

angular impulse and momentum to solve rigid
-
body planar
kinetics

Analyze and solve many of the more common problems in th
ree
-
dimensional motion of rigid
bodies.

Apply the principles of work and energy and linear and angular mome
ntum to a rigid body
having three
-
dimensional motion

Apply the equations of motion in three

dimensional motion

Analyze the motion of gyroscope and torque
-
free motion

Apply Lagrange’s equations to single degree of freedom systems.

Be able to determine th
e equation of motion of free vibrating mechanical systems.

Be able to outline a logical approach for solving complex engineering problems.

Learning Situations

Lectures

There are three lectures each week. Students are exp
ected to

sections
prior to the lectures. During the lectures basic material will be presented with an
emphasis on explaining the more difficult concepts, and presenting worked solutions of
sample problems.

Lecture time and location

o

Monday 10
-
11am, Bosch LT 3

o

Th
ursday 11
-
1p
am,
Bosch LT 3

Tutorials/Labs

Attendance at tutorials is compulsory.

• Tutorials, 2 hr/week/student, are held on

Wed 2
-
4
in tut Rm 1&4, Wed

4
-
6 pm

in Tut Rm 1;

Thurs 3
-
5 pm

in Tut Rm 1 & Elec Eng Lec room 261;

Fri

2
-
4pm in Mech Eng Tut. Rm 1
.

as possible, in order to keep class sizes roughly equal
for each day.

• Laboratories, two 3hr lab/ student/ semester, are held
on Mon, Wed, Thurs and Fri 2
-
5

Tutorials and

Laboratories will commence on 6,7,
8 of
March, note that no thongs or sandals can be worn in the
lab.

There will be a hand
-
in assignment associated with each
tutorial
.(hand
-
in dates and location are written on the
tutorial questi
on sheet).

The tutors will assist you with
your understanding of the knowledge needed to solve the
problems,
they will not solve the problems for you
.
Solutions to the problems will be made available from time
to time.

Laboratory reports to be subm
itted to the lab demonstrator
two weeks after the laboratory session.

NOTE: Late submissions will be penalized 10% of full mark for
every day or part thereof that the assignment and or lab report
is late
(unless medical certificate etc is sighted).

Assessment:

Assessment marks for assignments and examination will be based upon:

o

Layout of the solution (communication)

o

Solution method (clearly showing the students understands)

o

Correct answer (worth no more than 10% of the mark)

• Final Exa
m: 60
%
(closed book; essential formulas will be
provided)

• Assignments: 20
% (Assignments questions are of equal value)

Two in class quizzes, Monday week 6 and Monday week 12,10%

total;

Laboratory
10%
.

A NOTE ON SUPPLEMENTARY EXAMS

This course will follow

the policies of the Mech Eng Dept:

• Regarding the supplementary examinations, for those students
given "Special Consideration", the list of exams, exam
times/locations will be emailed to you.

Unit of Study Program:

1. Two
-
Dimensional Kinema
tics of Rigid Bodies (Tutorial 1,
Assignment 1), estimated 7 lectures.

2. Two
-
Dimensional Dynamics of Rigid Bodies (Tutori
al 2,
Assignment 2), estimated 7

lectures.

3
. Three
-
Dimensional Kinematics of Rigid Bodies (Tutorial 3,

Assignment 3), estimated 3

lectures

5. Three
-
Dimensional Dynamics of Rigid Bodies (Tutorial 3&

4,
Assignment 3), estimated 7

lectures
;

3. Variable Mass, estimated 3 lectures Tutorial 4, Assignment4

6. Introduction to Lagrange's Equations and introduction to the
vibration of Mech
anical systems, estimated 7 lectures ( Tutorial
4, Assignment 4)

Unit of Study References:

The course is based on lecture notes, lectures, lecture handouts
and tutorial problems, however
, for chapters 1,2,3,4,5 &6 the
course will closely follow JL Me
riam and LG Kraige, Engineering
Mech
anics: Dynamics, 6
th

ed, Wiley, New York 2008

(or
5
rd
ed
).

The following references may prove useful.

For Chaps 1.2.3&4 and 5
&6

:

• R.C. Hibbeler, Dynamics, SI edition, PRENTICE
-
HALL 2001.

• A Bedford and W Fowler, Dyn
-
Wesley,
1996.

[both books above are on closed reserve in Eng. Lib.]

There are many other useful books in the library. Look at the
shelves around the call

numbers 531.11
-
531.3 or620.1
-
620.104.

Staff Contact Information

Lecturer
:

Malik Altaee, room 508
, Mechanical Engineering, e
-
mail
abdulmalik..altaee@sydney.edu.au

Tutors
:
Note: tutors are only available during scheduled tutorial times