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681 ratings

Dr. Wayne Whiteman, PE

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Offered By

Engineering Systems in Motion: Dynamics of Particles and Bodies in 2D Motion

Georgia Institute of Technology

About this Course

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This course is an introduction to the study of bodies in motion as applied to engineering systems and structures.  We will study the dynamics of particle motion and bodies in rigid planar (2D) motion.  This will consist of both the kinematics and kinetics of motion.  Kinematics deals with the geometrical aspects of motion describing position, velocity, and acceleration, all as a function of time.  Kinetics is the study of forces acting on these bodies and how it affects their motion.
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Recommended Background:

To be successful in the course you will need to have mastered basic engineering mechanics concepts and to have successfully completed my courses en titled an “Introduction to Engineering Mechanics” and “Applications in Engineering Mechanics.”   We will apply many of the engineering fundamentals learned in those classes and you will need those skills before attempting this course.

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Suggested Readings:

While no specific textbook is required, this course is designed to be compatible with any standard engineering dynamics textbook.  You will find a book like this useful as a reference and for completing additional practice problems to enhance your learning of the material.

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The copyright of all content and materials in this course are owned by either the Georgia Tech Research Corporation or Dr. Wayne Whiteman. By participating in the course or using the content or materials, whether in whole or in part, you agree that you may download and use any content and/or material in this course for your own personal, non-commercial use only in a manner consistent with a student of any academic course. Any other use of the content and materials, including use by other academic universities or entities, is prohibited without express written permission of the Georgia Tech Research Corporation. Interested parties may contact Dr. Wayne Whiteman directly for information regarding the procedure to obtain a non-exclusive license.

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Approx. 23 hours to complete

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Approx. 23 hours to complete

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Instructor

Instructor rating

4.73/5 (99 Ratings)

Dr. Wayne Whiteman, PE

Senior Academic Professional

Woodruff School of Mechanical Engineering

370,345 Learners

12 Courses

Offered by

Georgia Institute of Technology

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Syllabus - What you will learn from this course

Content Rating96%(3,165 ratings)

Week1

Week 1

5 hours to complete

Course Introduction; Particle Kinematics; Particle Kinetics – Newton’s Laws and Euler’s Laws; Motion of Particles and Mass Centers of Bodies

5 hours to complete

8 videos (Total 74 min), 17 readings, 1 quiz

8 videos

Module 1: Course Introduction4mModule 2: Particle Kinematics; Rectilinear Motion7mModule 3: Rectilinear Motion Example8mModule 4: Rectangular Cartesian Coordinate System, Cylindrical Coordinate System, Tangential and Normal Coordinate System : Position and Velocity6mModule 5: Tangential and Normal Coordinate System: Acceleration; Curvilinear Motion Example using Tangential and Normal Coordinates14mModule 6: Define Kinetics; Newton’s 2nd Law; Euler’s 1st Law; Locate Mass Center of Composite Body9mModule 7: Solve for the Motion of the Mass Center of Bodies using Newton-Euler Equations I9mModule 8: Solve for the Motion of the Mass Center of Bodies using Newton-Euler Equations II13m

17 readings

Syllabus10mConsent Form10mPdf Version of Module 1: Course Introduction Lecture10mGet More from Georgia Tech10mPdf Version of Module 2: Particle Kinematics; Rectilinear Motion Lecture10mPdf Version of Module 3: Rectilinear Motion Example Lecture10mWorksheet Solutions: Rectilinear Motion Example10mPdf Version of Module 4: Rectangular Cartesian Coordinate System, Cylindrical Coordinate System, Tangential and Normal Coordinate System : Position and Velocity Lecture10mWorksheet Solutions: Tangential and Normal Coordinate System: Acceleration; Curvilinear Motion Example using Tangential and Normal Coordinates10mPdf Version of Module 5: Tangential and Normal Coordinate System: Acceleration; Curvilinear Motion Example using Tangential and Normal Coordinates Lecture10mPdf Version of Module 6: Define Kinetics; Newton’s 2nd Law; Euler’s 1st Law; Locate Mass Center of Composite Body Lecture10mWorksheet Solutions: Define Kinetics; Newton’s 2nd Law; Euler’s 1st Law; Locate Mass Center of Composite Body10mPdf Version of Module 7: Solve for the Motion of the Mass Center of Bodies using Newton-Euler Equations I Lecture10mPdf Version of Module 8: Solve for the Motion of the Mass Center of Bodies using Newton-Euler Equations II Lecture10mWorksheet Solutions: Solve for the Motion of the Mass Center of Bodies using Newton-Euler Equations II10mPractice Problems10mSolution of Quiz 110m

1 practice exercise

Course Introduction; Particle Kinematics; Particle Kinetics – Newton’s Laws and Euler’s Laws; Motion of Particles and Mass Centers of Bodies30m

Week2

Week 2

2 hours to complete

Work-Energy Principle for Particles/Systems of Particles

2 hours to complete

5 videos (Total 40 min), 8 readings, 1 quiz

5 videos

Module 9: Work and Kinetic Energy Principle for Particles/System of Particles; Work of a Linear Spring6mModule 10: Work Done by Gravity; Work Done by Friction; Solve Work-Energy Problems for Particles/System of Particles8mModule 11: Impulse-Momentum Relationship; Define Impact6mModule 12: Define Coefficient of Restitution; Solve an Impact Problem11mModule 13: Define Angular Momentum; Euler’s 2nd Law (The Moment Equation)7m

8 readings

Pdf Version of Module 9: Work and Kinetic Energy Principle for Particles/System of Particles; Work of a Linear Spring Lecture10mPdf Version of Module 10: Work Done by Gravity; Work Done by Friction; Solve Work-Energy Problems for Particles/System of Particles Lecture10mPdf Version of Module 11: Impulse-Momentum Relationship; Define Impact Lecture10mPdf Version of Module 12: Define Coefficient of Restitution; Solve an Impact Problem Lecture10mPdf Version of Module 13: Define Angular Momentum; Euler’s 2nd Law (The Moment Equation) Lecture10mEarn a Georgia Tech Badge/Certificate/CEUs10mPractice Problems10mSolution of Quiz 210m

1 practice exercise

Work-Energy Principle for Particles/Systems of Particles; Impulse and Momentum; Impact; Conservation of Momentum; Euler’s 2nd Law – Moment of Momentum30m

Week3

Week 3

3 hours to complete

Planar (2D) Rigid Body Kinematics I

3 hours to complete

6 videos (Total 58 min), 11 readings, 1 quiz

6 videos

Module 14: Define Rigid Body Kinematics; Identify three types of Planar Rigid Body Motion; Derive Relative Velocity Equation11mModule 15: Solve a Relative Velocity problem9mModule 16: Define and Locate the Instantaneous Center of Zero Velocity (IC)10mModule 17: Solve an Instantaneous Center of Zero Velocity (IC) Problem9mModule 18: Define Angular Acceleration; Derive the Relative Acceleration Equation7mModule 19: Solve a Relative Acceleration Problem9m

11 readings

Pdf Version of Module 14: Define Rigid Body Kinematics; Identify three types of Planar Rigid Body Motion; Derive Relative Velocity Equation Lecture10mPdf Version of Module 15: Solve a Relative Velocity problem Lecture10mWorksheet Solutions: Solve a Relative Velocity Problem10mPdf Version of Module 16: Define and Locate the Instantaneous Center of Zero Velocity (IC) Lecture10mPdf Version of Module 17: Solve an Instantaneous Center of Zero Velocity (IC) Problem Lecture10mWorksheet Solutions: Solve an Instantaneous Center of Zero Velocity (IC) Problem10mPdf Version of Module 18: Define Angular Acceleration; Derive the Relative Acceleration Equation Lecture10mPdf Version of Module 19: Solve a Relative Acceleration Problem Lecture10mWorksheet Solutions: Solve a Relative Acceleration Problem10mPractice Problems10mSolution of Quiz 310m

1 practice exercise

Planar (2D) Rigid Body Kinematics: Relative Velocity Equation; Rotation about a Fixed Axis; Instantaneous Center of Zero Velocity; Relative Acceleration Equation30m

Week4

Week 4

4 hours to complete

Planar (2D) Rigid Body Kinematics II

4 hours to complete

8 videos (Total 73 min), 12 readings, 1 quiz

8 videos

Module 20: Acceleration of a Wheel Rolling on a Fixed Straight Surface7mModule 21: Acceleration of a Wheel rolling on a Fixed Plane Curve8mModule 22: Solve a Rolling Wheel Problem4mModule 23: Explain the Velocity of the Same Point Relative to Two Different Reference Frames or Bodies; Derive the Derivative Formula11mModule 24: Derive the Equation for the Velocity of the Same Point Relative to Two Different Reference Frames or Bodies in Planar Motion7mModule 25: Solve a Problem for the Velocity of the Same Point Relative to Two Different Frames or Bodies in Planar Motion10mModule 26: Derive the Equation for the Acceleration of the Same Point Relative to Two Different Reference Frames or Bodies in Planar Motion10mModule 27: Solve for the Acceleration of the Same Point Relative to Two Different Reference Frames or Bodies in Planar Motion12m

12 readings

Pdf Version of Module 20: Acceleration of a Wheel Rolling on a Fixed Straight Surface Lecture10mPdf Version of Module 21: Acceleration of a Wheel rolling on a Fixed Plane Curve Lecture10mPdf Version of Module 22: Solve a Rolling Wheel Problem Lecture10mPdf Version of Module 23: Explain the Velocity of the Same Point Relative to Two Different Reference Frames or Bodies; Derive the Derivative Formula Lecture10mPdf Version of Module 24: Derive the Equation for the Velocity of the Same Point Relative to Two Different Reference Frames or Bodies in Planar Motion Lecture10mPdf Version of Module 25: Solve a Problem for the Velocity of the Same Point Relative to Two Different Frames or Bodies in Planar Motion Lecture10mWorksheet Solutions: Solve a Problem for the Velocity of the Same Point Relative to Two Different Frames or Bodies in Planar Motion10mPdf Version of Module 26: Derive the Equation for the Acceleration of the Same Point Relative to Two Different Reference Frames or Bodies in Planar Motion Lecture10mPdf Version of Module 27: Solve for the Acceleration of the Same Point Relative to Two Different Reference Frames or Bodies in Planar Motion Lecture10mWorksheet Solutions: Solve for the Acceleration of the Same Point Relative to Two Different Reference Frames or Bodies in Planar Motion10mPractice Problems10mSolution of Quiz 410m

1 practice exercise

Planar (2D) Rigid Body Kinematics: Relative Velocity Equation; Rotation about a Fixed Axis; Instantaneous Center of Zero Velocity; Relative Acceleration Equation II30m

Week5

Week 5

3 hours to complete

Planar (2D) Rigid Body Kinetics I

3 hours to complete

6 videos (Total 58 min), 11 readings, 1 quiz

6 videos

Module 28: Develop the Kinetic Equatoin for a Body Translating in 2D Planar Motion5mModule 29: Solve a Problem for a Body Translating in 2D Planar Motion11mModule 30: Derive Angular Momentum for a Rigid Body in 2D Planar Motion; Define Moments of Inertia and Products of Inertia8mModule 31: Explain and Determine Mass Moments of Inertia and Products of Inertia7mModule 32: Derive the Equations of Motion for a Rigid Body in 2D Planar Motion8mModule 33: Solve a Problem for Motion of a Rigid Body in 2D Planar Motion16m

11 readings

Pdf Version of Module 28: Develop the Kinetic Equatoin for a Body Translating in 2D Planar Motion Lecture10mPdf Version of Module 29: Solve a Problem for a Body Translating in 2D Planar Motion Lecture10mWorksheet Solutions: Solve a Problem for a Body Translating in 2D Planar Motion10mPdf Version of Module 30: Derive Angular Momentum for a Rigid Body in 2D Planar Motion; Define Moments of Inertia and Products of Inertia Lecture10mPdf Version of Module 31: Explain and Determine Mass Moments of Inertia and Products of Inertia Lecture10mWorksheet Solutions: Explain and Determine Mass Moments of Inertia and Products of Inertia10mPdf Version of Module 32: Derive the Equations of Motion for a Rigid Body in 2D Planar Motion Lecture10mPdf Version of Module 33: Solve a Problem for Motion of a Rigid Body in 2D Planar Motion Lecture10mWorksheet Solutions: Solve a Problem for Motion of a Rigid Body in 2D Planar Motion10mPractice Problems10mSolution of Quiz 510m

1 practice exercise

Planar (2D) Rigid Body Kinetics: Translation; Moment of Momentum – Angular Momentum; Equations of Motion I30m

Week6

Week 6

3 hours to complete

Planar (2D) Rigid Body Kinetics II

3 hours to complete

9 videos (Total 51 min), 11 readings, 1 quiz

9 videos

Module 34: Begin the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion5mModule 35: Calculate the Kinetic Energy for Bodies in 2D Planar Motion; Radius of Gyration8mModule 36: Continue the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion2mModule 37: Continue the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion; Calculate the Work Done by a Constant Force, by a Variable Force, and by Gravity4mModule 38: Continue the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion4mModule 39: Solve a Work-Energy Problem for 2D Planar Rigid Body Motion10mModule 40: Continue to Solve a Work-Energy Problem for 2D Planar Rigid Body Motion4mModule 41: Continue to Solve a Work-Energy Problem for 2D Planar Rigid Body Motion7mModule 42: Continue to Solve a Work-Energy Problem for 2D Planar Rigid Body Motion3m

11 readings

Pdf Version of Module 34: Begin the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion Lecture10mPdf Version of Module 35: Calculate the Kinetic Energy for Bodies in 2D Planar Motion; Radius of Gyration Lecture10mPdf Version of Module 36: Continue the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion Lecture10mPdf Version of Module 37: Continue the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion; Calculate the Work Done by a Constant Force, by a Variable Force, and by Gravity Lecture10mPdf Version of Module 38: Continue the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion Lecture10mPdf Version of Module 39: Solve a Work-Energy Problem for 2D Planar Rigid Body Motion Lecture10mPdf Version of Module 40: Continue to Solve a Work-Energy Problem for 2D Planar Rigid Body Motion Lecture10mPdf Version of Module 41: Continue to Solve a Work-Energy Problem for 2D Planar Rigid Body Motion Lecture10mPdf Version of Module 42: Continue to Solve a Work-Energy Problem for 2D Planar Rigid Body Motion Lecture10mWorksheet Solutions: Solve a Work-Energy Problem for 2D Planar Rigid Body Motion10mSolution of Quiz 610m

1 practice exercise

Planar (2D) Rigid Body Kinetics: Translation; Moment of Momentum – Angular Momentum; Equations of Motion II30m

Week7

Week 7

3 hours to complete

Planar (2D) Rigid Body Kinetics III

3 hours to complete

5 videos (Total 36 min), 10 readings, 1 quiz

5 videos

Module 43: Develop the Principle of Impulse-Momentum for Rigid Bodies in 2D Planar Motion6mModule 44: Solve a Problem Using the Principle of impulse-Momentum for Rigid Bodies in 2D Planar Motion11mModule 45: Principle of Conservation of Momentum for Rigid Bodies in 2D Planar Motion6mModule 46: Principle of Impulse-Momentum Example; Center of Percussion9mModule 47: Course Conclusion3m

10 readings

Pdf Version of Module 43: Develop the Principle of Impulse-Momentum for Rigid Bodies in 2D Planar Motion Lecture10mPdf Version of Module 44: Solve a Problem Using the Principle of impulse-Momentum for Rigid Bodies in 2D Planar Motion Lecture10mWorksheet Solutions: Solve a Problem Using the Principle of Impulse-Momentum for Rigid Bodies in 2D Planar Motion10mPdf Version of Module 45: Principle of Conservation of Momentum for Rigid Bodies in 2D Planar Motion Lecture10mPdf Version of Module 46: Principle of Impulse-Momentum Example; Center of Percussion Lecture10mWhere to go from here?10mPdf Version of Module 47: Course Conclusion Lecture10mPractice problems10mPractice Problems10mSolution of Quiz 710m

1 practice exercise

Planar (2D) Rigid Body Kinetics (continued): Impulse-Momentum Method; Conservation of Momentum. Course Conclusion.30m

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4.9

103 reviews

5 stars
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TOP REVIEWS FROM ENGINEERING SYSTEMS IN MOTION: DYNAMICS OF PARTICLES AND BODIES IN 2D MOTION

by ASSep 2, 2020

I'd highly recommend this course for people working on Automotive Projects to get the basics of mechanics involved in this course,.

by MSFeb 2, 2019

Great Course and fantastic explanations by the Professor Thank You

by AKOct 13, 2018

I would just like to say that Prof. Whiteman is a great explainer. I would like to complete most of the courses by him that are available on Coursera.

by SNJul 22, 2020

Amazing contents and excellent delivery. Absolutely loved the course..

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Engineering Systems in Motion: Dynamics of Particles and Bodies in 2D Motion

Engineering Systems in Motion: Dynamics of Particles and Bodies in 2D Motion

About this Course