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Engineering Systems in Motion: Dynamics of Particles and Bodies in 2D Motion
  • Level Foundation
  • Duration 23 hours
  • Course by Georgia Institute of Technology
  • Offered by

About

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.

Modules

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

    • 8 Videos
    • 15 Readings
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8 Videos

  • Module 1: Course Introduction
  • Module 2: Particle Kinematics; Rectilinear Motion
  • Module 3: Rectilinear Motion Example
  • Module 4: Rectangular Cartesian Coordinate System, Cylindrical Coordinate System, Tangential and Normal Coordinate System : Position and Velocity
  • Module 5: Tangential and Normal Coordinate System: Acceleration; Curvilinear Motion Example using Tangential and Normal Coordinates
  • Module 6: Define Kinetics; Newton’s 2nd Law; Euler’s 1st Law; Locate Mass Center of Composite Body
  • Module 7: Solve for the Motion of the Mass Center of Bodies using Newton-Euler Equations I
  • Module 8: Solve for the Motion of the Mass Center of Bodies using Newton-Euler Equations II

15 Readings

  • Syllabus
  • Consent Form
  • Pdf Version of Module 1: Course Introduction Lecture
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  • Pdf Version of Module 2: Particle Kinematics; Rectilinear Motion Lecture
  • Pdf Version of Module 3: Rectilinear Motion Example Lecture
  • Worksheet Solutions: Rectilinear Motion Example
  • Pdf Version of Module 4: Rectangular Cartesian Coordinate System, Cylindrical Coordinate System, Tangential and Normal Coordinate System : Position and Velocity Lecture
  • Worksheet Solutions: Tangential and Normal Coordinate System: Acceleration; Curvilinear Motion Example using Tangential and Normal Coordinates
  • Pdf Version of Module 5: Tangential and Normal Coordinate System: Acceleration; Curvilinear Motion Example using Tangential and Normal Coordinates Lecture
  • Pdf Version of Module 6: Define Kinetics; Newton’s 2nd Law; Euler’s 1st Law; Locate Mass Center of Composite Body Lecture
  • Worksheet Solutions: Define Kinetics; Newton’s 2nd Law; Euler’s 1st Law; Locate Mass Center of Composite Body
  • Pdf Version of Module 7: Solve for the Motion of the Mass Center of Bodies using Newton-Euler Equations I Lecture
  • Pdf Version of Module 8: Solve for the Motion of the Mass Center of Bodies using Newton-Euler Equations II Lecture
  • Worksheet Solutions: Solve for the Motion of the Mass Center of Bodies using Newton-Euler Equations II

Quiz

    • 2 Readings
    • 1 Assignment
Show info about module content

1 Assignment

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

2 Readings

  • Practice Problems
  • Solution of Quiz 1

Work-Energy Principle for Particles/Systems of Particles

    • 5 Videos
    • 6 Readings
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5 Videos

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

6 Readings

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

    • 2 Readings
    • 1 Assignment
Show info about module content

1 Assignment

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

2 Readings

  • Practice Problems
  • Solution of Quiz 2

Planar (2D) Rigid Body Kinematics I

    • 6 Videos
    • 9 Readings
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6 Videos

  • Module 14: Define Rigid Body Kinematics; Identify three types of Planar Rigid Body Motion; Derive Relative Velocity Equation
  • Module 15: Solve a Relative Velocity problem
  • Module 16: Define and Locate the Instantaneous Center of Zero Velocity (IC)
  • Module 17: Solve an Instantaneous Center of Zero Velocity (IC) Problem
  • Module 18: Define Angular Acceleration; Derive the Relative Acceleration Equation
  • Module 19: Solve a Relative Acceleration Problem

9 Readings

  • Pdf Version of Module 14: Define Rigid Body Kinematics; Identify three types of Planar Rigid Body Motion; Derive Relative Velocity Equation Lecture
  • Pdf Version of Module 15: Solve a Relative Velocity problem Lecture
  • Worksheet Solutions: Solve a Relative Velocity Problem
  • Pdf Version of Module 16: Define and Locate the Instantaneous Center of Zero Velocity (IC) Lecture
  • Pdf Version of Module 17: Solve an Instantaneous Center of Zero Velocity (IC) Problem Lecture
  • Worksheet Solutions: Solve an Instantaneous Center of Zero Velocity (IC) Problem
  • Pdf Version of Module 18: Define Angular Acceleration; Derive the Relative Acceleration Equation Lecture
  • Pdf Version of Module 19: Solve a Relative Acceleration Problem Lecture
  • Worksheet Solutions: Solve a Relative Acceleration Problem

Quiz

    • 2 Readings
    • 1 Assignment
Show info about module content

1 Assignment

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

2 Readings

  • Practice Problems
  • Solution of Quiz 3

Planar (2D) Rigid Body Kinematics II

    • 8 Videos
    • 10 Readings
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8 Videos

  • Module 20: Acceleration of a Wheel Rolling on a Fixed Straight Surface
  • Module 21: Acceleration of a Wheel rolling on a Fixed Plane Curve
  • Module 22: Solve a Rolling Wheel Problem
  • Module 23: Explain the Velocity of the Same Point Relative to Two Different Reference Frames or Bodies; Derive the Derivative Formula
  • Module 24: Derive the Equation for the Velocity of the Same Point Relative to Two Different Reference Frames or Bodies in Planar Motion
  • Module 25: Solve a Problem for the Velocity of the Same Point Relative to Two Different Frames or Bodies in Planar Motion
  • Module 26: Derive the Equation for the Acceleration of the Same Point Relative to Two Different Reference Frames or Bodies in Planar Motion
  • Module 27: Solve for the Acceleration of the Same Point Relative to Two Different Reference Frames or Bodies in Planar Motion

10 Readings

  • Pdf Version of Module 20: Acceleration of a Wheel Rolling on a Fixed Straight Surface Lecture
  • Pdf Version of Module 21: Acceleration of a Wheel rolling on a Fixed Plane Curve Lecture
  • Pdf Version of Module 22: Solve a Rolling Wheel Problem Lecture
  • 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
  • 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
  • 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
  • Worksheet Solutions: Solve a Problem for the Velocity of the Same Point Relative to Two Different Frames or Bodies in Planar Motion
  • 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
  • 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
  • Worksheet Solutions: Solve for the Acceleration of the Same Point Relative to Two Different Reference Frames or Bodies in Planar Motion

Quiz

    • 2 Readings
    • 1 Assignment
Show info about module content

1 Assignment

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

2 Readings

  • Practice Problems
  • Solution of Quiz 4

Planar (2D) Rigid Body Kinetics I

    • 6 Videos
    • 9 Readings
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6 Videos

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

9 Readings

  • Pdf Version of Module 28: Develop the Kinetic Equatoin for a Body Translating in 2D Planar Motion Lecture
  • Pdf Version of Module 29: Solve a Problem for a Body Translating in 2D Planar Motion Lecture
  • Worksheet Solutions: Solve a Problem for a Body Translating in 2D Planar Motion
  • 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
  • Pdf Version of Module 31: Explain and Determine Mass Moments of Inertia and Products of Inertia Lecture
  • Worksheet Solutions: Explain and Determine Mass Moments of Inertia and Products of Inertia
  • Pdf Version of Module 32: Derive the Equations of Motion for a Rigid Body in 2D Planar Motion Lecture
  • Pdf Version of Module 33: Solve a Problem for Motion of a Rigid Body in 2D Planar Motion Lecture
  • Worksheet Solutions: Solve a Problem for Motion of a Rigid Body in 2D Planar Motion

Quiz

    • 2 Readings
    • 1 Assignment
Show info about module content

1 Assignment

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

2 Readings

  • Practice Problems
  • Solution of Quiz 5

Planar (2D) Rigid Body Kinetics II

    • 9 Videos
    • 10 Readings
Show info about module content

9 Videos

  • Module 34: Begin the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion
  • Module 35: Calculate the Kinetic Energy for Bodies in 2D Planar Motion; Radius of Gyration
  • Module 36: Continue the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion
  • 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
  • Module 38: Continue the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion
  • Module 39: Solve a Work-Energy Problem for 2D Planar Rigid Body Motion
  • Module 40: Continue to Solve a Work-Energy Problem for 2D Planar Rigid Body Motion
  • Module 41: Continue to Solve a Work-Energy Problem for 2D Planar Rigid Body Motion
  • Module 42: Continue to Solve a Work-Energy Problem for 2D Planar Rigid Body Motion

10 Readings

  • Pdf Version of Module 34: Begin the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion Lecture
  • Pdf Version of Module 35: Calculate the Kinetic Energy for Bodies in 2D Planar Motion; Radius of Gyration Lecture
  • Pdf Version of Module 36: Continue the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion Lecture
  • 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
  • Pdf Version of Module 38: Continue the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion Lecture
  • Pdf Version of Module 39: Solve a Work-Energy Problem for 2D Planar Rigid Body Motion Lecture
  • Pdf Version of Module 40: Continue to Solve a Work-Energy Problem for 2D Planar Rigid Body Motion Lecture
  • Pdf Version of Module 41: Continue to Solve a Work-Energy Problem for 2D Planar Rigid Body Motion Lecture
  • Pdf Version of Module 42: Continue to Solve a Work-Energy Problem for 2D Planar Rigid Body Motion Lecture
  • Worksheet Solutions: Solve a Work-Energy Problem for 2D Planar Rigid Body Motion

Quiz

    • 1 Readings
    • 1 Assignment
Show info about module content

1 Assignment

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

1 Readings

  • Solution of Quiz 6

Planar (2D) Rigid Body Kinetics III

    • 4 Videos
    • 6 Readings
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4 Videos

  • Module 43: Develop the Principle of Impulse-Momentum for Rigid Bodies in 2D Planar Motion
  • Module 44: Solve a Problem Using the Principle of impulse-Momentum for Rigid Bodies in 2D Planar Motion
  • Module 45: Principle of Conservation of Momentum for Rigid Bodies in 2D Planar Motion
  • Module 46: Principle of Impulse-Momentum Example; Center of Percussion

6 Readings

  • Pdf Version of Module 43: Develop the Principle of Impulse-Momentum for Rigid Bodies in 2D Planar Motion Lecture
  • Pdf Version of Module 44: Solve a Problem Using the Principle of impulse-Momentum for Rigid Bodies in 2D Planar Motion Lecture
  • Worksheet Solutions: Solve a Problem Using the Principle of Impulse-Momentum for Rigid Bodies in 2D Planar Motion
  • Pdf Version of Module 45: Principle of Conservation of Momentum for Rigid Bodies in 2D Planar Motion Lecture
  • Pdf Version of Module 46: Principle of Impulse-Momentum Example; Center of Percussion Lecture
  • Where to go from here?

Course Conclusion

    • 1 Videos
    • 2 Readings
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1 Videos

  • Module 47: Course Conclusion

2 Readings

  • Pdf Version of Module 47: Course Conclusion Lecture
  • Practice problems

Quiz

    • 2 Readings
    • 1 Assignment
Show info about module content

1 Assignment

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

2 Readings

  • Practice Problems
  • Solution of Quiz 7

Auto Summary

Discover the dynamics of particles and bodies in 2D motion with "Engineering Systems in Motion." Led by Dr. Wayne Whiteman, this foundational course covers kinematics and kinetics, focusing on engineering systems and structures. Perfect for those with a background in basic engineering mechanics, the course spans approximately 1380 minutes and is available on Coursera with Starter and Professional subscription options. Ideal for aspiring engineers looking to deepen their understanding of motion in engineering contexts.

Dr. Wayne Whiteman, PE
Instructor

Dr. Wayne Whiteman, PE