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
Georgia Institute of Technology
À propos de ce cours
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.
Syllabus - What you will learn from this course
1
Section
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 (Total 74 min), 17 readings, 1 quiz
8 videos
Module 2: Particle Kinematics; Rectilinear Motion7m
Module 3: Rectilinear Motion Example8m
Module 4: Rectangular Cartesian Coordinate System, Cylindrical Coordinate System, Tangential and Normal Coordinate System : Position and Velocity6m
Module 5: Tangential and Normal Coordinate System: Acceleration; Curvilinear Motion Example using Tangential and Normal Coordinates14m
Module 6: Define Kinetics; Newton’s 2nd Law; Euler’s 1st Law; Locate Mass Center of Composite Body9m
Module 7: Solve for the Motion of the Mass Center of Bodies using Newton-Euler Equations I9m
Module 8: Solve for the Motion of the Mass Center of Bodies using Newton-Euler Equations II13m
17 readings
Syllabus10m
Consent Form10m
Pdf Version of Module 1: Course Introduction Lecture10m
Get More from Georgia Tech10m
Pdf Version of Module 2: Particle Kinematics; Rectilinear Motion Lecture10m
Pdf Version of Module 3: Rectilinear Motion Example Lecture10m
Worksheet Solutions: Rectilinear Motion Example10m
Pdf Version of Module 4: Rectangular Cartesian Coordinate System, Cylindrical Coordinate System, Tangential and Normal Coordinate System : Position and Velocity Lecture10m
Worksheet Solutions: Tangential and Normal Coordinate System: Acceleration; Curvilinear Motion Example using Tangential and Normal Coordinates10m
Pdf Version of Module 5: Tangential and Normal Coordinate System: Acceleration; Curvilinear Motion Example using Tangential and Normal Coordinates Lecture10m
Pdf Version of Module 6: Define Kinetics; Newton’s 2nd Law; Euler’s 1st Law; Locate Mass Center of Composite Body Lecture10m
Worksheet Solutions: Define Kinetics; Newton’s 2nd Law; Euler’s 1st Law; Locate Mass Center of Composite Body10m
Pdf Version of Module 7: Solve for the Motion of the Mass Center of Bodies using Newton-Euler Equations I Lecture10m
Pdf Version of Module 8: Solve for the Motion of the Mass Center of Bodies using Newton-Euler Equations II Lecture10m
Worksheet Solutions: Solve for the Motion of the Mass Center of Bodies using Newton-Euler Equations II10m
Practice Problems10m
Solution of Quiz 110m
1 practice exercises
Course Introduction; Particle Kinematics; Particle Kinetics – Newton’s Laws and Euler’s Laws; Motion of Particles and Mass Centers of Bodies6m
2
Section
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 (Total 40 min), 8 readings, 1 quiz
5 videos
Module 10: Work Done by Gravity; Work Done by Friction; Solve Work-Energy Problems for Particles/System of Particles8m
Module 11: Impulse-Momentum Relationship; Define Impact6m
Module 12: Define Coefficient of Restitution; Solve an Impact Problem11m
Module 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 Lecture10m
Pdf Version of Module 10: Work Done by Gravity; Work Done by Friction; Solve Work-Energy Problems for Particles/System of Particles Lecture10m
Pdf Version of Module 11: Impulse-Momentum Relationship; Define Impact Lecture10m
Pdf Version of Module 12: Define Coefficient of Restitution; Solve an Impact Problem Lecture10m
Pdf Version of Module 13: Define Angular Momentum; Euler’s 2nd Law (The Moment Equation) Lecture10m
Earn a Georgia Tech Badge/Certificate/CEUs10m
Practice Problems10m
Solution of Quiz 210m
1 practice exercises
Work-Energy Principle for Particles/Systems of Particles; Impulse and Momentum; Impact; Conservation of Momentum; Euler’s 2nd Law – Moment of Momentum6m
3
Section
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 (Total 58 min), 11 readings, 1 quiz
6 videos
Module 15: Solve a Relative Velocity problem9m
Module 16: Define and Locate the Instantaneous Center of Zero Velocity (IC)10m
Module 17: Solve an Instantaneous Center of Zero Velocity (IC) Problem9m
Module 18: Define Angular Acceleration; Derive the Relative Acceleration Equation7m
Module 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 Lecture10m
Pdf Version of Module 15: Solve a Relative Velocity problem Lecture10m
Worksheet Solutions: Solve a Relative Velocity Problem10m
Pdf Version of Module 16: Define and Locate the Instantaneous Center of Zero Velocity (IC) Lecture10m
Pdf Version of Module 17: Solve an Instantaneous Center of Zero Velocity (IC) Problem Lecture10m
Worksheet Solutions: Solve an Instantaneous Center of Zero Velocity (IC) Problem10m
Pdf Version of Module 18: Define Angular Acceleration; Derive the Relative Acceleration Equation Lecture10m
Pdf Version of Module 19: Solve a Relative Acceleration Problem Lecture10m
Worksheet Solutions: Solve a Relative Acceleration Problem10m
Practice Problems10m
Solution of Quiz 310m
1 practice exercises
Planar (2D) Rigid Body Kinematics: Relative Velocity Equation; Rotation about a Fixed Axis; Instantaneous Center of Zero Velocity; Relative Acceleration Equation6m
4
Section
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 (Total 73 min), 12 readings, 1 quiz
8 videos
Module 21: Acceleration of a Wheel rolling on a Fixed Plane Curve8m
Module 22: Solve a Rolling Wheel Problem4m
Module 23: Explain the Velocity of the Same Point Relative to Two Different Reference Frames or Bodies; Derive the Derivative Formula11m
Module 24: Derive the Equation for the Velocity of the Same Point Relative to Two Different Reference Frames or Bodies in Planar Motion7m
Module 25: Solve a Problem for the Velocity of the Same Point Relative to Two Different Frames or Bodies in Planar Motion10m
Module 26: Derive the Equation for the Acceleration of the Same Point Relative to Two Different Reference Frames or Bodies in Planar Motion10m
Module 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 Lecture10m
Pdf Version of Module 21: Acceleration of a Wheel rolling on a Fixed Plane Curve Lecture10m
Pdf Version of Module 22: Solve a Rolling Wheel Problem Lecture10m
Pdf Version of Module 23: Explain the Velocity of the Same Point Relative to Two Different Reference Frames or Bodies; Derive the Derivative Formula Lecture10m
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 Lecture10m
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 Lecture10m
Worksheet Solutions: Solve a Problem for the Velocity of the Same Point Relative to Two Different Frames or Bodies in Planar Motion10m
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 Lecture10m
Pdf Version of Module 27: Solve for the Acceleration of the Same Point Relative to Two Different Reference Frames or Bodies in Planar Motion Lecture10m
Worksheet Solutions: Solve for the Acceleration of the Same Point Relative to Two Different Reference Frames or Bodies in Planar Motion10m
Practice Problems10m
Solution of Quiz 410m
1 practice exercises
Planar (2D) Rigid Body Kinematics: Relative Velocity Equation; Rotation about a Fixed Axis; Instantaneous Center of Zero Velocity; Relative Acceleration Equation II6m
5
Section
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 (Total 58 min), 11 readings, 1 quiz
6 videos
Module 29: Solve a Problem for a Body Translating in 2D Planar Motion11m
Module 30: Derive Angular Momentum for a Rigid Body in 2D Planar Motion; Define Moments of Inertia and Products of Inertia8m
Module 31: Explain and Determine Mass Moments of Inertia and Products of Inertia7m
Module 32: Derive the Equations of Motion for a Rigid Body in 2D Planar Motion8m
Module 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 Lecture10m
Pdf Version of Module 29: Solve a Problem for a Body Translating in 2D Planar Motion Lecture10m
Worksheet Solutions: Solve a Problem for a Body Translating in 2D Planar Motion10m
Pdf Version of Module 30: Derive Angular Momentum for a Rigid Body in 2D Planar Motion; Define Moments of Inertia and Products of Inertia Lecture10m
Pdf Version of Module 31: Explain and Determine Mass Moments of Inertia and Products of Inertia Lecture10m
Worksheet Solutions: Explain and Determine Mass Moments of Inertia and Products of Inertia10m
Pdf Version of Module 32: Derive the Equations of Motion for a Rigid Body in 2D Planar Motion Lecture10m
Pdf Version of Module 33: Solve a Problem for Motion of a Rigid Body in 2D Planar Motion Lecture10m
Worksheet Solutions: Solve a Problem for Motion of a Rigid Body in 2D Planar Motion10m
Practice Problems10m
Solution of Quiz 510m
1 practice exercises
Planar (2D) Rigid Body Kinetics: Translation; Moment of Momentum – Angular Momentum; Equations of Motion I6m
6
Section
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 (Total 51 min), 12 readings, 1 quiz
9 videos
Module 34: Begin the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion5m
Module 35: Calculate the Kinetic Energy for Bodies in 2D Planar Motion; Radius of Gyration8m
Module 36: Continue the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion2m
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 Gravity4m
Module 38: Continue the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion4m
Module 39: Solve a Work-Energy Problem for 2D Planar Rigid Body Motion10m
Module 40: Continue to Solve a Work-Energy Problem for 2D Planar Rigid Body Motion4m
Module 41: Continue to Solve a Work-Energy Problem for 2D Planar Rigid Body Motion7m
Module 42: Continue to Solve a Work-Energy Problem for 2D Planar Rigid Body Motion3m
12 readings
Pdf Version of Module 34: Begin the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion Lecture10m
Pdf Version of Module 35: Calculate the Kinetic Energy for Bodies in 2D Planar Motion; Radius of Gyration Lecture10m
Pdf Version of Module 36: Continue the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion Lecture10m
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 Lecture10m
Pdf Version of Module 38: Continue the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion Lecture10m
Pdf Version of Module 39: Solve a Work-Energy Problem for 2D Planar Rigid Body Motion Lecture10m
Pdf Version of Module 40: Continue to Solve a Work-Energy Problem for 2D Planar Rigid Body Motion Lecture10m
Pdf Version of Module 41: Continue to Solve a Work-Energy Problem for 2D Planar Rigid Body Motion Lecture10m
Pdf Version of Module 42: Continue to Solve a Work-Energy Problem for 2D Planar Rigid Body Motion Lecture10m
Worksheet Solutions: Solve a Work-Energy Problem for 2D Planar Rigid Body Motion10m
Practice Problems10m
Solution of Quiz 610m
1 practice exercises
Planar (2D) Rigid Body Kinetics: Translation; Moment of Momentum – Angular Momentum; Equations of Motion II6m
7
Section
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 (Total 36 min), 9 readings, 1 quiz
5 videos
Module 44: Solve a Problem Using the Principle of impulse-Momentum for Rigid Bodies in 2D Planar Motion11m
Module 45: Principle of Conservation of Momentum for Rigid Bodies in 2D Planar Motion6m
Module 46: Principle of Impulse-Momentum Example; Center of Percussion9m
Module 47: Course Conclusion3m
9 readings
Pdf Version of Module 43: Develop the Principle of Impulse-Momentum for Rigid Bodies in 2D Planar Motion Lecture10m
Pdf Version of Module 44: Solve a Problem Using the Principle of impulse-Momentum for Rigid Bodies in 2D Planar Motion Lecture10m
Worksheet Solutions: Solve a Problem Using the Principle of Impulse-Momentum for Rigid Bodies in 2D Planar Motion10m
Pdf Version of Module 45: Principle of Conservation of Momentum for Rigid Bodies in 2D Planar Motion Lecture10m
Pdf Version of Module 46: Principle of Impulse-Momentum Example; Center of Percussion Lecture10m
Where to go from here?10m
Pdf Version of Module 47: Course Conclusion Lecture10m
Practice Problems10m
Solution of Quiz 710m
1 practice exercises
Planar (2D) Rigid Body Kinetics (continued): Impulse-Momentum Method; Conservation of Momentum. Course Conclusion.6m
4.8
Top Reviews
By SK•Mar 8th 2016
A brilliant course, gave me a great foundation for more advanced courses in mechanical engineering. When ever i use some of the things i learned in this course in my work i think of Whiteman.
By MA•Dec 19th 2017
Awesome course for Design Engineers as well design professionals.. It gives basic concepts as well as application to practical problems.
Instructor
Dr. Wayne Whiteman, PE
Senior Academic ProfessionalAbout 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.
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