Über diesen Kurs

15,429 kürzliche Aufrufe

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.

Learner Career Outcomes

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ziehen Sie für Ihren Beruf greifbaren Nutzen aus diesem Kurs

100 % online

Beginnen Sie sofort und lernen Sie in Ihrem eigenen Tempo.

Flexible Fristen

Setzen Sie Fristen gemäß Ihrem Zeitplan zurück.

Ca. 16 Stunden zum Abschließen

Empfohlen: 7 weeks of material; 5 to 7 hours per week work for students...

Englisch

Untertitel: Englisch

Learner Career Outcomes

50%

ziehen Sie für Ihren Beruf greifbaren Nutzen aus diesem Kurs

100 % online

Beginnen Sie sofort und lernen Sie in Ihrem eigenen Tempo.

Flexible Fristen

Setzen Sie Fristen gemäß Ihrem Zeitplan zurück.

Ca. 16 Stunden zum Abschließen

Empfohlen: 7 weeks of material; 5 to 7 hours per week work for students...

Englisch

Untertitel: Englisch

Lehrplan - Was Sie in diesem Kurs lernen werden

Woche

1

4 Stunden zum Abschließen

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 (Gesamt 74 min), 17 Lektüren, 1 Quiz

8 Videos

Module 1: Course Introduction4m

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 Lektüren

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 praktische Übung

Course Introduction; Particle Kinematics; Particle Kinetics – Newton’s Laws and Euler’s Laws; Motion of Particles and Mass Centers of Bodies6m

Woche

2

2 Stunden zum Abschließen

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 (Gesamt 40 min), 8 Lektüren, 1 Quiz

5 Videos

Module 9: Work and Kinetic Energy Principle for Particles/System of Particles; Work of a Linear Spring6m

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 Lektüren

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 praktische Übung

Work-Energy Principle for Particles/Systems of Particles; Impulse and Momentum; Impact; Conservation of Momentum; Euler’s 2nd Law – Moment of Momentum6m

Woche

3

3 Stunden zum Abschließen

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 (Gesamt 58 min), 11 Lektüren, 1 Quiz

6 Videos

Module 14: Define Rigid Body Kinematics; Identify three types of Planar Rigid Body Motion; Derive Relative Velocity Equation11m

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 Lektüren

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 praktische Übung

Planar (2D) Rigid Body Kinematics: Relative Velocity Equation; Rotation about a Fixed Axis; Instantaneous Center of Zero Velocity; Relative Acceleration Equation6m

Woche

4

3 Stunden zum Abschließen

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 (Gesamt 73 min), 12 Lektüren, 1 Quiz

8 Videos

Module 20: Acceleration of a Wheel Rolling on a Fixed Straight Surface7m

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 Lektüren

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 praktische Übung

Planar (2D) Rigid Body Kinematics: Relative Velocity Equation; Rotation about a Fixed Axis; Instantaneous Center of Zero Velocity; Relative Acceleration Equation II6m

Woche

5

3 Stunden zum Abschließen

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 (Gesamt 58 min), 11 Lektüren, 1 Quiz

6 Videos

Module 28: Develop the Kinetic Equatoin for a Body Translating in 2D Planar Motion5m

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 Lektüren

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 praktische Übung

Planar (2D) Rigid Body Kinetics: Translation; Moment of Momentum – Angular Momentum; Equations of Motion I6m

Woche

6

3 Stunden zum Abschließen

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 (Gesamt 51 min), 12 Lektüren, 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 Lektüren

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 praktische Übung

Planar (2D) Rigid Body Kinetics: Translation; Moment of Momentum – Angular Momentum; Equations of Motion II6m

Woche

7

2 Stunden zum Abschließen

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 (Gesamt 36 min), 9 Lektüren, 1 Quiz

5 Videos

Module 43: Develop the Principle of Impulse-Momentum for Rigid Bodies in 2D Planar Motion6m

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 Lektüren

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 praktische Übung

Planar (2D) Rigid Body Kinetics (continued): Impulse-Momentum Method; Conservation of Momentum. Course Conclusion.6m

Dozent

Dr. Wayne Whiteman, PE

Senior Academic Professional

Woodruff School of Mechanical Engineering

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