MECHENG 222 : Dynamics

Engineering

2025 Semester Two (1255) (15 POINTS)

Course Prescription

Kinematics of particles, rectilinear and curvilinear motion, kinematics of rigid bodies in the plane. Kinetics of particles, systems of particles and rigid bodies. Impulse and momentum, mechanism motion in the plane. Vibration of a particle.

Course Overview

This course builds on the concepts taught in the Dynamics part of ENGGEN 121. Topics that will be expanded upon include:
  • 2D and 3D coordinate systems
  • Motion relative to a rotating coordinate system
  • Mechanism motion (2D)
  • Kinetics of rigid bodies undergoing general plane motion
Furthermore, new topics will be introduced. These include:
  • Linear impulse, momentum, and impact (2D)
  • Angular impulse and momentum (2D)
  • Single degree of freedom vibration of particles (free and forced)

Course Requirements

Prerequisite: ENGGEN 121 or 150

Capabilities Developed in this Course

Capability 3: Knowledge and Practice
Capability 4: Critical Thinking
Capability 7: Collaboration

Learning Outcomes

By the end of this course, students will be able to:
  1. Analyse kinematics of particles by choosing the appropriate coordinate system(s) and applying coordinate transformations where necessary to facilitate the analysis of the given motion data, and compute the required position, velocity and acceleration information for a given problem. (Capability 3.1, 3.2 and 7.1)
  2. Analyse kinematics of rigid bodies, including the determination of the instantaneous centre of zero velocity, calculation of the instantaneous velocity and acceleration of any point on the rigid body, and calculation of the angular velocity and the angular acceleration of the rigid body for a specified motion. (Capability 3.1, 3.2, 4.1 and 7.1)
  3. Analyse relative motion by choosing appropriate fixed and moving coordinate systems, combining the ‘fixed’ and ‘moving’ data, and using analytical or graphical means. (Capability 3.1, 3.2, 4.1 and 7.1)
  4. Analyse 2D mechanism motion by using simultaneous application of rigid body analysis and relative motion analysis to determine the linear velocity and acceleration of any point and angular velocity and angular acceleration of a component in a planar single degree of freedom mechanism. (Capability 3.1, 3.2, 4.1 and 7.1)
  5. Analyse and evaluate vibration of particles, including the determination of natural frequency, damped natural frequency, and damping ratio with given system parameters or experimental free vibration response, and calculation of the simple free and forced vibration responses of single degree of freedom systems. (Capability 3.1, 3.2, 4.1 and 7.1)
  6. Analyse kinetics of particles by isolating and drawing a complete free-body diagram and applying a suitable method (Newton's 2nd and linear/angular impulse-momentum. (Capability 3.1, 3.2, 4.1 and 7.1)
  7. Analyse Kinetic of rigid bodies by isolating and drawing a complete free-body diagram, properly calculating the mass moment of inertia of simple geometries and applying a suitable method (Newton's 2nd law and work-energy method). (Capability 3.1, 3.2, 4.1 and 7.1)

Assessments

Assessment Type Percentage Classification
Tests 30% Individual Test
Projects 17% Individual Coursework
Quizzes 15% Individual Coursework
Lab 3% Individual Coursework
Final Exam 35% Individual Examination
Assessment Type Learning Outcome Addressed
1 2 3 4 5 6 7
Tests
Projects
Quizzes
Lab
Final Exam

  • Students must sit the exam to pass the course. Otherwise, a DNS (did not sit) fail grade will be returned.
  • A passing mark is 50% or higher, according to University policy.
  • Late submission penalties will be applied as stated on Canvas.

Workload Expectations

This course is a standard 15 point course and students are expected to spend 10 hours per week involved in each 15 point course that they are enrolled in.

For this course, in a typical teaching week you can expect 3 hours of lectures, 1 hour of tutorial, and 6 hours of self study (reading and thinking about the content and working on quizzes. For the 12 teaching weeks, this totals to 120 hours. Since the course as a whole represents approximately 150 hours of study, that leaves a total of 30 hours across the entire semester for independent study for preparing and completing other assessments (lab, projects and tests).

Delivery Mode

Campus Experience

Attendance is expected at scheduled activities including labs and tutorials to complete components of the course. 

Lectures will be available as recordings.

The course will include online discussions via Ed Discussion and online quizzes.

Tests will be on campus and invigilated.

The activities for the course are scheduled as a standard weekly timetable.

Learning Resources

Course materials are made available in a learning and collaboration tool called Canvas which also includes reading lists and lecture recordings (where available).

Please remember that the recording of any class on a personal device requires the permission of the instructor.

* A concise but comprehensive coursebook is prepared for students with the contents extracted from the recommended textbook.
* The recommended textbook is Engineering Mechanics, Volume 2: Dynamics, Meriam & Kraige, SI Version 6th, 7th, 8th or 9th Edition, John Wiley & Sons Publishing.

Health & Safety

Students must ensure they are familiar with their Health and Safety responsibilities, as described in the university's Health and Safety policy.

Student Feedback

At the end of every semester students will be invited to give feedback on the course and teaching through a tool called SET or Qualtrics. The lecturers and course co-ordinators will consider all feedback and respond with summaries and actions.

Your feedback helps teachers to improve the course and its delivery for future students.

Class Representatives in each class can take feedback to the department and faculty staff-student consultative committees.

The 2024 SET survey (response ratio 64.9%) showed that 90.5% of the class was satisfied with the quality of the course and only 1.8% disagreed. No significant changes will be made in the coming year.

Academic Integrity

The University of Auckland will not tolerate cheating, or assisting others to cheat, and views cheating in coursework, tests and examinations as a serious academic offence. The work that a student submits for grading must be the student's own work, reflecting their learning. Where work from other sources is used, it must be properly acknowledged and referenced. A student's assessed work may be reviewed against electronic source material using computerised detection mechanisms. Upon reasonable request, students may be required to provide an electronic version of their work for computerised review.

Class Representatives

Class representatives are students tasked with representing student issues to departments, faculties, and the wider university. If you have a complaint about this course, please contact your class rep who will know how to raise it in the right channels. See your departmental noticeboard for contact details for your class reps.

Inclusive Learning

All students are asked to discuss any impairment related requirements privately, face to face and/or in written form with the course coordinator, lecturer or tutor.

Student Disability Services also provides support for students with a wide range of impairments, both visible and invisible, to succeed and excel at the University. For more information and contact details, please visit the Student Disability Services’ website http://disability.auckland.ac.nz

Special Circumstances

If your ability to complete assessed coursework is affected by illness or other personal circumstances outside of your control, contact a member of teaching staff as soon as possible before the assessment is due.

If your personal circumstances significantly affect your performance, or preparation, for an exam or eligible written test, refer to the University’s aegrotat or compassionate consideration page https://www.auckland.ac.nz/en/students/academic-information/exams-and-final-results/during-exams/aegrotat-and-compassionate-consideration.html.

This should be done as soon as possible and no later than seven days after the affected test or exam date.

Learning Continuity

In the event of an unexpected disruption we undertake to maintain the continuity and standard of teaching and learning in all your courses throughout the year. If there are unexpected disruptions the University has contingency plans to ensure that access to your course continues and your assessment is fair, and not compromised. Some adjustments may need to be made in emergencies. You will be kept fully informed by your course co-ordinator, and if disruption occurs you should refer to the University Website for information about how to proceed.

Student Charter and Responsibilities

The Student Charter assumes and acknowledges that students are active participants in the learning process and that they have responsibilities to the institution and the international community of scholars. The University expects that students will act at all times in a way that demonstrates respect for the rights of other students and staff so that the learning environment is both safe and productive. For further information visit Student Charter https://www.auckland.ac.nz/en/students/forms-policies-and-guidelines/student-policies-and-guidelines/student-charter.html.

Disclaimer

Elements of this outline may be subject to change. The latest information about the course will be available for enrolled students in Canvas.

In this course you may be asked to submit your coursework assessments digitally. The University reserves the right to conduct scheduled tests and examinations for this course online or through the use of computers or other electronic devices. Where tests or examinations are conducted online remote invigilation arrangements may be used. The final decision on the completion mode for a test or examination, and remote invigilation arrangements where applicable, will be advised to students at least 10 days prior to the scheduled date of the assessment, or in the case of an examination when the examination timetable is published.