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: https://sydney.edu.au/students/academic-dishonesty-and- plagiarism.html • 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 considered. 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 research. 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 limit. 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 explained? 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 (40%) 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 passengers? • How is the track shaped and how is the speed of the car controlled? • 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 play? • 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 “stages”?
































































































































































































































































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