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

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

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About this course: 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. --------------------------- Recommended Background: To be successful in the course you will need to have mastered basic engineering mechanics concepts and to have successfully completed my co…

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When you enroll for courses through Coursera you get to choose for a paid plan or for a free plan

  • Free plan: No certicification and/or audit only. You will have access to all course materials except graded items.
  • Paid plan: Commit to earning a Certificate—it's a trusted, shareable way to showcase your new skills.

About this course: 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. --------------------------- 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. --------------------------- 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. --------------------------- 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.

Created by:  Georgia Institute of Technology
  • Taught by:  Dr. Wayne Whiteman, PE, Senior Academic Professional

    Woodruff School of Mechanical Engineering
Commitment 7 weeks of material; 5 to 7 hours per week work for students Language English How To Pass Pass all graded assignments to complete the course. User Ratings 4.8 stars Average User Rating 4.8See what learners said Coursework

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Georgia Institute of Technology The Georgia Institute of Technology is one of the nation's top research universities, distinguished by its commitment to improving the human condition through advanced science and technology. Georgia Tech's campus occupies 400 acres in the heart of the city of Atlanta, where more than 20,000 undergraduate and graduate students receive a focused, technologically based education.

Syllabus


WEEK 1


Course Introduction; Particle Kinematics; Particle Kinetics – Newton’s Laws and Euler’s Laws; Motion of Particles and Mass Centers of Bodies
In this section students will learn about particle kinematics, Newton's Laws and Euler's Laws, motion of particles and mass centers of bodies.


8 videos, 17 readings expand


  1. Reading: Syllabus
  2. Reading: Consent Form
  3. Video: Module 1: Course Introduction
  4. Reading: Pdf Version of Module 1: Course Introduction Lecture
  5. Reading: Get from Georgia Tech
  6. Video: Module 2: Particle Kinematics; Rectilinear Motion
  7. Reading: Pdf Version of Module 2: Particle Kinematics; Rectilinear Motion Lecture
  8. Video: Module 3: Rectilinear Motion Example
  9. Reading: Pdf Version of Module 3: Rectilinear Motion Example Lecture
  10. Video: Module 4: Rectangular Cartesian Coordinate System, Cylindrical Coordinate System, Tangential and Normal Coordinate System : Position and Velocity
  11. Reading: Pdf Version of Module 4: Rectangular Cartesian Coordinate System, Cylindrical Coordinate System, Tangential and Normal Coordinate System : Position and Velocity Lecture
  12. Reading: Worksheet Solutions: Tangential and Normal Coordinate System: Acceleration; Curvilinear Motion Example using Tangential and Normal Coordinates
  13. Video: Module 5: Tangential and Normal Coordinate System: Acceleration; Curvilinear Motion Example using Tangential and Normal Coordinates
  14. Reading: Pdf Version of Module 5: Tangential and Normal Coordinate System: Acceleration; Curvilinear Motion Example using Tangential and Normal Coordinates Lecture
  15. Reading: Worksheet Solutions: Rectilinear Motion Example
  16. Video: Module 6: Define Kinetics; Newton’s 2nd Law; Euler’s 1st Law; Locate Mass Center of Composite Body
  17. Reading: Pdf Version of Module 6: Define Kinetics; Newton’s 2nd Law; Euler’s 1st Law; Locate Mass Center of Composite Body Lecture
  18. Reading: Worksheet Solutions: Define Kinetics; Newton’s 2nd Law; Euler’s 1st Law; Locate Mass Center of Composite Body
  19. Video: Module 7: Solve for the Motion of the Mass Center of Bodies using Newton-Euler Equations I
  20. Reading: Pdf Version of Module 7: Solve for the Motion of the Mass Center of Bodies using Newton-Euler Equations I Lecture
  21. Video: Module 8: Solve for the Motion of the Mass Center of Bodies using Newton-Euler Equations II
  22. Reading: Pdf Version of Module 8: Solve for the Motion of the Mass Center of Bodies using Newton-Euler Equations II Lecture
  23. Reading: Worksheet Solutions: Solve for the Motion of the Mass Center of Bodies using Newton-Euler Equations II
  24. Reading: Practice Problems
  25. Reading: Solution of Quiz 1

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

WEEK 2


Work-Energy Principle for Particles/Systems of Particles
In this section students will learn the work-energy principle for particles/systems of particles, impulse and momentum, impact, conservation of momentum and Euler's 2nd Law - Moment of momentum.


5 videos, 8 readings expand


  1. Video: Module 9: Work and Kinetic Energy Principle for Particles/System of Particles; Work of a Linear Spring
  2. Reading: Pdf Version of Module 9: Work and Kinetic Energy Principle for Particles/System of Particles; Work of a Linear Spring Lecture
  3. Video: Module 10: Work Done by Gravity; Work Done by Friction; Solve Work-Energy Problems for Particles/System of Particles
  4. Reading: Pdf Version of Module 10: Work Done by Gravity; Work Done by Friction; Solve Work-Energy Problems for Particles/System of Particles Lecture
  5. Video: Module 11: Impulse-Momentum Relationship; Define Impact
  6. Reading: Pdf Version of Module 11: Impulse-Momentum Relationship; Define Impact Lecture
  7. Video: Module 12: Define Coefficient of Restitution; Solve an Impact Problem
  8. Reading: Pdf Version of Module 12: Define Coefficient of Restitution; Solve an Impact Problem Lecture
  9. Video: Module 13: Define Angular Momentum; Euler’s 2nd Law (The Moment Equation)
  10. Reading: Pdf Version of Module 13: Define Angular Momentum; Euler’s 2nd Law (The Moment Equation) Lecture
  11. Reading: Earn a Georgia Tech Badge/Certificate/CEUs
  12. Reading: Practice Problems
  13. Reading: Solution of Quiz 2

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

WEEK 3


Planar (2D) Rigid Body Kinematics I
In this section students will learn about planar (2D) rigid body kinematics, relative velocity equation, rotation about a fixed axis, instantaneous center of zero velocity, and relative acceleration equations.


6 videos, 11 readings expand


  1. Video: Module 14: Define Rigid Body Kinematics; Identify three types of Planar Rigid Body Motion; Derive Relative Velocity Equation
  2. Reading: Pdf Version of Module 14: Define Rigid Body Kinematics; Identify three types of Planar Rigid Body Motion; Derive Relative Velocity Equation Lecture
  3. Video: Module 15: Solve a Relative Velocity problem
  4. Reading: Pdf Version of Module 15: Solve a Relative Velocity problem Lecture
  5. Reading: Worksheet Solutions: Solve a Relative Velocity Problem
  6. Video: Module 16: Define and Locate the Instantaneous Center of Zero Velocity (IC)
  7. Reading: Pdf Version of Module 16: Define and Locate the Instantaneous Center of Zero Velocity (IC) Lecture
  8. Video: Module 17: Solve an Instantaneous Center of Zero Velocity (IC) Problem
  9. Reading: Pdf Version of Module 17: Solve an Instantaneous Center of Zero Velocity (IC) Problem Lecture
  10. Reading: Worksheet Solutions: Solve an Instantaneous Center of Zero Velocity (IC) Problem
  11. Video: Module 18: Define Angular Acceleration; Derive the Relative Acceleration Equation
  12. Reading: Pdf Version of Module 18: Define Angular Acceleration; Derive the Relative Acceleration Equation Lecture
  13. Video: Module 19: Solve a Relative Acceleration Problem
  14. Reading: Pdf Version of Module 19: Solve a Relative Acceleration Problem Lecture
  15. Reading: Worksheet Solutions: Solve a Relative Acceleration Problem
  16. Reading: Practice Problems
  17. Reading: Solution of Quiz 3

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

WEEK 4


Planar (2D) Rigid Body Kinematics II
In this section students will continue to learn about planar (2D) rigid body kinematics, relative velocity equation, rotation about a fixed axis, instantaneous center of zero velocity, and relative acceleration equations.


8 videos, 12 readings expand


  1. Video: Module 20: Acceleration of a Wheel Rolling on a Fixed Straight Surface
  2. Reading: Pdf Version of Module 20: Acceleration of a Wheel Rolling on a Fixed Straight Surface Lecture
  3. Video: Module 21: Acceleration of a Wheel rolling on a Fixed Plane Curve
  4. Reading: Pdf Version of Module 21: Acceleration of a Wheel rolling on a Fixed Plane Curve Lecture
  5. Video: Module 22: Solve a Rolling Wheel Problem
  6. Reading: Pdf Version of Module 22: Solve a Rolling Wheel Problem Lecture
  7. Video: Module 23: Explain the Velocity of the Same Point Relative to Two Different Reference Frames or Bodies; Derive the Derivative Formula
  8. Reading: Pdf Version of Module 23: Explain the Velocity of the Same Point Relative to Two Different Reference Frames or Bodies; Derive the Derivative Formula Lecture
  9. Video: Module 24: Derive the Equation for the Velocity of the Same Point Relative to Two Different Reference Frames or Bodies in Planar Motion
  10. Reading: Pdf 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 Lecture
  11. Video: Module 25: Solve a Problem for the Velocity of the Same Point Relative to Two Different Frames or Bodies in Planar Motion
  12. Reading: Pdf Version of Module 25: Solve a Problem for the Velocity of the Same Point Relative to Two Different Frames or Bodies in Planar Motion Lecture
  13. Reading: Worksheet Solutions: Solve a Problem for the Velocity of the Same Point Relative to Two Different Frames or Bodies in Planar Motion
  14. Video: Module 26: Derive the Equation for the Acceleration of the Same Point Relative to Two Different Reference Frames or Bodies in Planar Motion
  15. Reading: Pdf 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 Lecture
  16. Video: Module 27: Solve for the Acceleration of the Same Point Relative to Two Different Reference Frames or Bodies in Planar Motion
  17. Reading: Pdf Version of Module 27: Solve for the Acceleration of the Same Point Relative to Two Different Reference Frames or Bodies in Planar Motion Lecture
  18. Reading: Worksheet Solutions: Solve for the Acceleration of the Same Point Relative to Two Different Reference Frames or Bodies in Planar Motion
  19. Reading: Practice Problems
  20. Reading: Solution of Quiz 4

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

WEEK 5


Planar (2D) Rigid Body Kinetics I
In this section students will learn about planar (2D) rigid body kinetics, translation, moment of momentum - angular momentum, and equations of motion.


6 videos, 11 readings expand


  1. Video: Module 28: Develop the Kinetic Equatoin for a Body Translating in 2D Planar Motion
  2. Reading: Pdf Version of Module 28: Develop the Kinetic Equatoin for a Body Translating in 2D Planar Motion Lecture
  3. Video: Module 29: Solve a Problem for a Body Translating in 2D Planar Motion
  4. Reading: Pdf Version of Module 29: Solve a Problem for a Body Translating in 2D Planar Motion Lecture
  5. Reading: Worksheet Solutions: Solve a Problem for a Body Translating in 2D Planar Motion
  6. Video: Module 30: Derive Angular Momentum for a Rigid Body in 2D Planar Motion; Define Moments of Inertia and Products of Inertia
  7. Reading: Pdf Version of Module 30: Derive Angular Momentum for a Rigid Body in 2D Planar Motion; Define Moments of Inertia and Products of Inertia Lecture
  8. Video: Module 31: Explain and Determine Mass Moments of Inertia and Products of Inertia
  9. Reading: Pdf Version of Module 31: Explain and Determine Mass Moments of Inertia and Products of Inertia Lecture
  10. Reading: Worksheet Solutions: Explain and Determine Mass Moments of Inertia and Products of Inertia
  11. Video: Module 32: Derive the Equations of Motion for a Rigid Body in 2D Planar Motion
  12. Reading: Pdf Version of Module 32: Derive the Equations of Motion for a Rigid Body in 2D Planar Motion Lecture
  13. Video: Module 33: Solve a Problem for Motion of a Rigid Body in 2D Planar Motion
  14. Reading: Pdf Version of Module 33: Solve a Problem for Motion of a Rigid Body in 2D Planar Motion Lecture
  15. Reading: Worksheet Solutions: Solve a Problem for Motion of a Rigid Body in 2D Planar Motion
  16. Reading: Practice Problems
  17. Reading: Solution of Quiz 5

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

WEEK 6


Planar (2D) Rigid Body Kinetics II
In this section students will continue to learn about planar (2D) rigid body kinetics using the Work-Energy Method.


9 videos, 12 readings expand


  1. Video: Module 34: Begin the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion
  2. Reading: Pdf Version of Module 34: Begin the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion Lecture
  3. Video: Module 35: Calculate the Kinetic Energy for Bodies in 2D Planar Motion; Radius of Gyration
  4. Reading: Pdf Version of Module 35: Calculate the Kinetic Energy for Bodies in 2D Planar Motion; Radius of Gyration Lecture
  5. Video: Module 36: Continue the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion
  6. Reading: Pdf Version of Module 36: Continue the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion Lecture
  7. Video: 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
  8. Reading: Pdf 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 Lecture
  9. Video: Module 38: Continue the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion
  10. Reading: Pdf Version of Module 38: Continue the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion Lecture
  11. Video: Module 39: Solve a Work-Energy Problem for 2D Planar Rigid Body Motion
  12. Reading: Pdf Version of Module 39: Solve a Work-Energy Problem for 2D Planar Rigid Body Motion Lecture
  13. Video: Module 40: Continue to Solve a Work-Energy Problem for 2D Planar Rigid Body Motion
  14. Reading: Pdf Version of Module 40: Continue to Solve a Work-Energy Problem for 2D Planar Rigid Body Motion Lecture
  15. Video: Module 41: Continue to Solve a Work-Energy Problem for 2D Planar Rigid Body Motion
  16. Reading: Pdf Version of Module 41: Continue to Solve a Work-Energy Problem for 2D Planar Rigid Body Motion Lecture
  17. Video: Module 42: Continue to Solve a Work-Energy Problem for 2D Planar Rigid Body Motion
  18. Reading: Pdf Version of Module 42: Continue to Solve a Work-Energy Problem for 2D Planar Rigid Body Motion Lecture
  19. Reading: Worksheet Solutions: Solve a Work-Energy Problem for 2D Planar Rigid Body Motion
  20. Reading: Practice Problems
  21. Reading: Solution of Quiz 6

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

WEEK 7


Planar (2D) Rigid Body Kinetics III
In this section students will continue to learn about planar (2D) rigid body kinetics using the Impulse-Momentum Method and Conservation of Momentum.


5 videos, 9 readings expand


  1. Video: Module 43: Develop the Principle of Impulse-Momentum for Rigid Bodies in 2D Planar Motion
  2. Reading: Pdf Version of Module 43: Develop the Principle of Impulse-Momentum for Rigid Bodies in 2D Planar Motion Lecture
  3. Video: Module 44: Solve a Problem Using the Principle of impulse-Momentum for Rigid Bodies in 2D Planar Motion
  4. Reading: Pdf Version of Module 44: Solve a Problem Using the Principle of impulse-Momentum for Rigid Bodies in 2D Planar Motion Lecture
  5. Reading: Worksheet Solutions: Solve a Problem Using the Principle of Impulse-Momentum for Rigid Bodies in 2D Planar Motion
  6. Video: Module 45: Principle of Conservation of Momentum for Rigid Bodies in 2D Planar Motion
  7. Reading: Pdf Version of Module 45: Principle of Conservation of Momentum for Rigid Bodies in 2D Planar Motion Lecture
  8. Video: Module 46: Principle of Impulse-Momentum Example; Center of Percussion
  9. Reading: Pdf Version of Module 46: Principle of Impulse-Momentum Example; Center of Percussion Lecture
  10. Reading: Where to go from here?
  11. Video: Module 47: Course Conclusion
  12. Reading: Pdf Version of Module 47: Course Conclusion Lecture
  13. Reading: Practice Problems
  14. Reading: Solution of Quiz 7

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