essay代写-AMME2500-Assignment 3
AMME2500 Engineering Dynamics:
Assignment 3 (10%)

General Information:

• This assignment is due Saturday 5th June 11:59pm
• Late assignments will be deducted 5% (5 marks out of a possible 100) for
each day late, starting from midnight on the day after the assignment is
due and including weekends. Assignments that are 10 days late or more
will receive zero marks.
• Any special consideration requires you to go through the Special
Consideration process via Sydney Student.
• Any incidence of academic dishonesty or plagiarism will result in the
issue being followed up with the Academic Honesty Coordinator and then
onto the University Registrar, and will result in zero marks for this
assessment, and may result in automatic failure of this unit of study. For
more information on academic honesty, see:
• This assignment should take the average student 8 hours to complete.

Assignment Objectives:

• In this assignment, you will study the dynamic behaviour of a system of
your choice. You will use the theoretical principles and analysis
techniques developed in the course so far to develop and solve the
equations of motion from an example of your selected system.
• The assignment will test your ability to perform research into your
system, draw relationships between dynamics theory and real systems,
make approximations, and to make realistic predictions about the motion
of the system.

Assignment Instructions:

• Choose one of the systems suggested at the end of the assignment.
• Choose at least one of the following theoretical concepts in dynamics to
describe your system/problem and its dynamic behaviors:
o Work and Energy of particles or rigid bodies
o Linear and/or angular momentum of particles or rigid bodies
o Kinematics and/or kinetics of particles, rigid bodies or machines
• You will perform research into the dynamics of your chosen system and
use the chosen theoretical concepts in dynamics to describe the approach
to predicting the motion of the system.
• You will develop a specific example of your system (with realistic
numbers derived from research) and use principles in dynamics to derive
equations of motion for your example. You will solve the equations of
motion using analytical and/or numerical methods and present and
discuss your results/predictions in relation to the expected system
behaviors uncovered through your own research.
• You will write a report in which you discuss the dynamics of the chosen
system and present your example, results and discussion. Your report
must use the following structure:
o Introduction (approx. one page):
Describe the system under consideration
Describe in your own words your chosen concepts in
dynamics used to describe the dynamic behaviors of your
system in general terms, and describe how these concepts
can be used to examine your chosen system.
o System/Problem Example (approx. two pages):
Provide an example of your system, and use this example to
develop/solve equations of motion for the system
Your example should include realistic measurements for
the physical structure, mass, inertia, force/torque, velocity,
acceleration etc. that are sourced from your research or
appropriately reasoned.
Draw free body diagrams of your system, detailing and
rationalizing any approximations you have made, then
apply theoretical principles to develop equations of motion.
o Results and Discussion (approx. two pages)
Solve your equations of motion using analytical and/or
numerical methods and present results illustrating the
behavior of your system
Discuss the system motion/behavior using your results and
relate this to the expected system behavior from your
o References
Provide citations for all researched information, figures etc.
o Appendix: MATLAB/Octave code
If you use MATLAB/Octave code in this assignment, please
provide it in an appendix
o The main body of the report (includes the Introduction, Example,
Results and Discussion) has a strict page limit of no more than five
pages. Your references and appendix are not included in the page

Submission Instructions:

• You should submit a single report file (pdf or word doc format) according
to the report format outlined above. The main body of the report should
be no more than five pages; the references and optional MATLAB code
appendix are not part of the five-page limit. The report should have your
name and SID clearly written at the top. You will submit this report using
Turnitin on the course’s Canvas site by Saturday 5th June 11:59pm.

Assessment Criteria:

• Report and Written communication (30%)
o Has the problem/system been clearly described and presented?
o Have the chosen theoretical concepts in dynamics been properly
o Has research on the system considered been performed and
appropriate reference to external sources made (e.g. textbooks,
websites, journal/conference articles etc.)?
• Application of dynamics principles to your chosen problem/system
o Has an appropriate theoretical model for the behavior of the
system under consideration been developed? Have appropriate
approximations been made?
o Have schematics of the system and freebody diagrams been
developed and clearly presented?
o Are the equations/theory correctly applied to develop equations of
motion for the system, or to evaluate specific motion cases?
• Depth, detail and creativity (30%)
o Has the system been considered in an appropriate level of detail?
o Have numerical modeling techniques/simulation or other physical
experiments been recorded to validate the proposed motion of the
system detailed in the example and results?

Other Important Points:

• When presenting calculations and results:
o Show only your relevant calculations and working, clearly
illustrated diagrams with relevant variables indicated and working
units (use SI units unless otherwise specified)
o You may submit working using either (a) typed mathematical
symbols (LaTeX/Microsoft equations etc.) and computer-drawn
diagrams or (b) handwritten working and diagrams that will be
scanned or photographed for electronic submission.
o Ensure scanned/photographed working is legible. If the tutor
cannot read your work, you will receive zero marks for that
section of the report.
o Graphs and plots must be clearly titled, with correct use of axis
labels and legends, units must be specified
• Any sections of written text in the report must be in a machine-readable
format (i.e. no scanned hand written text in your report, must by typed)
• When presenting MATLAB code in your appendix, comment your code
thoroughly and perform important steps in the calculations on separate
lines of code

Suggested Systems

System A: Roller Coaster Vertical Loop

During a roller coaster ride, a vertical
loop is a section of the track in which
the car undergoes a complete 360o
turn for which passengers are upside-
down at the top of the loop. Questions
to consider:
• How are these systems
designed from the perspective
of safety and fun for
• How is the track shaped and
how is the speed of the car
• What are the
accelerations/force vectors
experienced by passengers
along the track?

System B: Dynamics of a Medieval Catapult

A catapult is a ballistic device
used to launch a projectile over
large distances without the aid of
explosives. Examples include the
Trebuchet shown here, but you
can choose to analyse different
designs. Questions to consider:
• Mechanically speaking,
how were catapults
designed to transfer forces
and mechanical energy to
a projectile?
• How were the speed and
angle for which the
projectile was launched
controlled and determined
based on a desired target?

System C: Collision Ball Sports: Billiards or Ten Pin Bowling

Billiards (or Snooker, Pool) and Ten
Pin Bowling are two sports that
involve predicting the behaviours of
rigid bodies undergoing collisions.
Questions to consider:
• In billiards, how is a cue-ball
struck in order to direct a
coloured ball into a pocket?
What role does the friction
between the balls and table
• In ten pin bowling, how does
the ball achieve the required
speed and angle to knock down
as many of the pins as possible?
How do the pins and ball
interact during a strike?

System D: Kinematics and Forces in a Reciprocating Engine

In a reciprocating engine, forces
induced by pressure on a piston head
are used to drive the rotational motion
of a crank shaft. Questions to consider:
• In a reciprocating engine
consisting of a piston,
connecting rod and crankshaft,
what is the relationship
between the angular and linear
accelerations and velocities?
• How do these vary over the
engine rotation angle, and how
do the size/length of these
components effect the
acceleration of the piston?
• What implication does this have
towards vibration?

System E: Rocket Launch into Earth Orbit

A rocket that launches a spacecraft
from the ground into an orbit around
the Earth provides enough velocity to
the spacecraft to achieve a steady
orbit under the influence of gravity.
Questions to consider:
• What are the forces that act
on a rocket during a launch?
• How big must a rocket be and
how much propellant must it
burn to achieve a typical low
earth orbit of 400km above
the surface of the Earth?
• Why do rockets use multiple