Informações sobre o curso

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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.

Learner Career Outcomes

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Prazos flexíveis

Redefinir os prazos de acordo com sua programação.

Aprox. 16 horas para completar

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

Inglês

Legendas: Inglês

Learner Career Outcomes

50%

consegui um benefício significativo de carreira com este curso

100% on-line

Comece imediatamente e aprenda em seu próprio cronograma.

Prazos flexíveis

Redefinir os prazos de acordo com sua programação.

Aprox. 16 horas para completar

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

Inglês

Legendas: Inglês

Programa - O que você aprenderá com este curso

Semana

1

4 horas para concluir

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 vídeos (Total 74 mín.), 17 leituras, 1 teste

8 videos

Module 1: Course Introduction4min

Module 2: Particle Kinematics; Rectilinear Motion7min

Module 3: Rectilinear Motion Example8min

Module 4: Rectangular Cartesian Coordinate System, Cylindrical Coordinate System, Tangential and Normal Coordinate System : Position and Velocity6min

Module 5: Tangential and Normal Coordinate System: Acceleration; Curvilinear Motion Example using Tangential and Normal Coordinates14min

Module 6: Define Kinetics; Newton’s 2nd Law; Euler’s 1st Law; Locate Mass Center of Composite Body9min

Module 7: Solve for the Motion of the Mass Center of Bodies using Newton-Euler Equations I9min

Module 8: Solve for the Motion of the Mass Center of Bodies using Newton-Euler Equations II13min

17 leituras

Syllabus10min

Consent Form10min

Pdf Version of Module 1: Course Introduction Lecture10min

Get More from Georgia Tech10min

Pdf Version of Module 2: Particle Kinematics; Rectilinear Motion Lecture10min

Pdf Version of Module 3: Rectilinear Motion Example Lecture10min

Worksheet Solutions: Rectilinear Motion Example10min

Pdf Version of Module 4: Rectangular Cartesian Coordinate System, Cylindrical Coordinate System, Tangential and Normal Coordinate System : Position and Velocity Lecture10min

Worksheet Solutions: Tangential and Normal Coordinate System: Acceleration; Curvilinear Motion Example using Tangential and Normal Coordinates10min

Pdf Version of Module 5: Tangential and Normal Coordinate System: Acceleration; Curvilinear Motion Example using Tangential and Normal Coordinates Lecture10min

Pdf Version of Module 6: Define Kinetics; Newton’s 2nd Law; Euler’s 1st Law; Locate Mass Center of Composite Body Lecture10min

Worksheet Solutions: Define Kinetics; Newton’s 2nd Law; Euler’s 1st Law; Locate Mass Center of Composite Body10min

Pdf Version of Module 7: Solve for the Motion of the Mass Center of Bodies using Newton-Euler Equations I Lecture10min

Pdf Version of Module 8: Solve for the Motion of the Mass Center of Bodies using Newton-Euler Equations II Lecture10min

Worksheet Solutions: Solve for the Motion of the Mass Center of Bodies using Newton-Euler Equations II10min

Practice Problems10min

Solution of Quiz 110min

1 exercício prático

Course Introduction; Particle Kinematics; Particle Kinetics – Newton’s Laws and Euler’s Laws; Motion of Particles and Mass Centers of Bodies6min

Semana

2

2 horas para concluir

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 vídeos (Total 40 mín.), 8 leituras, 1 teste

5 videos

Module 9: Work and Kinetic Energy Principle for Particles/System of Particles; Work of a Linear Spring6min

Module 10: Work Done by Gravity; Work Done by Friction; Solve Work-Energy Problems for Particles/System of Particles8min

Module 11: Impulse-Momentum Relationship; Define Impact6min

Module 12: Define Coefficient of Restitution; Solve an Impact Problem11min

Module 13: Define Angular Momentum; Euler’s 2nd Law (The Moment Equation)7min

8 leituras

Pdf Version of Module 9: Work and Kinetic Energy Principle for Particles/System of Particles; Work of a Linear Spring Lecture10min

Pdf Version of Module 10: Work Done by Gravity; Work Done by Friction; Solve Work-Energy Problems for Particles/System of Particles Lecture10min

Pdf Version of Module 11: Impulse-Momentum Relationship; Define Impact Lecture10min

Pdf Version of Module 12: Define Coefficient of Restitution; Solve an Impact Problem Lecture10min

Pdf Version of Module 13: Define Angular Momentum; Euler’s 2nd Law (The Moment Equation) Lecture10min

Earn a Georgia Tech Badge/Certificate/CEUs10min

Practice Problems10min

Solution of Quiz 210min

1 exercício prático

Work-Energy Principle for Particles/Systems of Particles; Impulse and Momentum; Impact; Conservation of Momentum; Euler’s 2nd Law – Moment of Momentum6min

Semana

3

3 horas para concluir

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 vídeos (Total 58 mín.), 11 leituras, 1 teste

6 videos

Module 14: Define Rigid Body Kinematics; Identify three types of Planar Rigid Body Motion; Derive Relative Velocity Equation11min

Module 15: Solve a Relative Velocity problem9min

Module 16: Define and Locate the Instantaneous Center of Zero Velocity (IC)10min

Module 17: Solve an Instantaneous Center of Zero Velocity (IC) Problem9min

Module 18: Define Angular Acceleration; Derive the Relative Acceleration Equation7min

Module 19: Solve a Relative Acceleration Problem9min

11 leituras

Pdf Version of Module 14: Define Rigid Body Kinematics; Identify three types of Planar Rigid Body Motion; Derive Relative Velocity Equation Lecture10min

Pdf Version of Module 15: Solve a Relative Velocity problem Lecture10min

Worksheet Solutions: Solve a Relative Velocity Problem10min

Pdf Version of Module 16: Define and Locate the Instantaneous Center of Zero Velocity (IC) Lecture10min

Pdf Version of Module 17: Solve an Instantaneous Center of Zero Velocity (IC) Problem Lecture10min

Worksheet Solutions: Solve an Instantaneous Center of Zero Velocity (IC) Problem10min

Pdf Version of Module 18: Define Angular Acceleration; Derive the Relative Acceleration Equation Lecture10min

Pdf Version of Module 19: Solve a Relative Acceleration Problem Lecture10min

Worksheet Solutions: Solve a Relative Acceleration Problem10min

Practice Problems10min

Solution of Quiz 310min

1 exercício prático

Planar (2D) Rigid Body Kinematics: Relative Velocity Equation; Rotation about a Fixed Axis; Instantaneous Center of Zero Velocity; Relative Acceleration Equation6min

Semana

4

3 horas para concluir

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 vídeos (Total 73 mín.), 12 leituras, 1 teste

8 videos

Module 20: Acceleration of a Wheel Rolling on a Fixed Straight Surface7min

Module 21: Acceleration of a Wheel rolling on a Fixed Plane Curve8min

Module 22: Solve a Rolling Wheel Problem4min

Module 23: Explain the Velocity of the Same Point Relative to Two Different Reference Frames or Bodies; Derive the Derivative Formula11min

Module 24: Derive the Equation for the Velocity of the Same Point Relative to Two Different Reference Frames or Bodies in Planar Motion7min

Module 25: Solve a Problem for the Velocity of the Same Point Relative to Two Different Frames or Bodies in Planar Motion10min

Module 26: Derive the Equation for the Acceleration of the Same Point Relative to Two Different Reference Frames or Bodies in Planar Motion10min

Module 27: Solve for the Acceleration of the Same Point Relative to Two Different Reference Frames or Bodies in Planar Motion12min

12 leituras

Pdf Version of Module 20: Acceleration of a Wheel Rolling on a Fixed Straight Surface Lecture10min

Pdf Version of Module 21: Acceleration of a Wheel rolling on a Fixed Plane Curve Lecture10min

Pdf Version of Module 22: Solve a Rolling Wheel Problem Lecture10min

Pdf Version of Module 23: Explain the Velocity of the Same Point Relative to Two Different Reference Frames or Bodies; Derive the Derivative Formula Lecture10min

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 Lecture10min

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 Lecture10min

Worksheet Solutions: Solve a Problem for the Velocity of the Same Point Relative to Two Different Frames or Bodies in Planar Motion10min

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 Lecture10min

Pdf Version of Module 27: Solve for the Acceleration of the Same Point Relative to Two Different Reference Frames or Bodies in Planar Motion Lecture10min

Worksheet Solutions: Solve for the Acceleration of the Same Point Relative to Two Different Reference Frames or Bodies in Planar Motion10min

Practice Problems10min

Solution of Quiz 410min

1 exercício prático

Planar (2D) Rigid Body Kinematics: Relative Velocity Equation; Rotation about a Fixed Axis; Instantaneous Center of Zero Velocity; Relative Acceleration Equation II6min

Semana

5

3 horas para concluir

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 vídeos (Total 58 mín.), 11 leituras, 1 teste

6 videos

Module 28: Develop the Kinetic Equatoin for a Body Translating in 2D Planar Motion5min

Module 29: Solve a Problem for a Body Translating in 2D Planar Motion11min

Module 30: Derive Angular Momentum for a Rigid Body in 2D Planar Motion; Define Moments of Inertia and Products of Inertia8min

Module 31: Explain and Determine Mass Moments of Inertia and Products of Inertia7min

Module 32: Derive the Equations of Motion for a Rigid Body in 2D Planar Motion8min

Module 33: Solve a Problem for Motion of a Rigid Body in 2D Planar Motion16min

11 leituras

Pdf Version of Module 28: Develop the Kinetic Equatoin for a Body Translating in 2D Planar Motion Lecture10min

Pdf Version of Module 29: Solve a Problem for a Body Translating in 2D Planar Motion Lecture10min

Worksheet Solutions: Solve a Problem for a Body Translating in 2D Planar Motion10min

Pdf Version of Module 30: Derive Angular Momentum for a Rigid Body in 2D Planar Motion; Define Moments of Inertia and Products of Inertia Lecture10min

Pdf Version of Module 31: Explain and Determine Mass Moments of Inertia and Products of Inertia Lecture10min

Worksheet Solutions: Explain and Determine Mass Moments of Inertia and Products of Inertia10min

Pdf Version of Module 32: Derive the Equations of Motion for a Rigid Body in 2D Planar Motion Lecture10min

Pdf Version of Module 33: Solve a Problem for Motion of a Rigid Body in 2D Planar Motion Lecture10min

Worksheet Solutions: Solve a Problem for Motion of a Rigid Body in 2D Planar Motion10min

Practice Problems10min

Solution of Quiz 510min

1 exercício prático

Planar (2D) Rigid Body Kinetics: Translation; Moment of Momentum – Angular Momentum; Equations of Motion I6min

Semana

6

3 horas para concluir

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 vídeos (Total 51 mín.), 12 leituras, 1 teste

9 videos

Module 34: Begin the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion5min

Module 35: Calculate the Kinetic Energy for Bodies in 2D Planar Motion; Radius of Gyration8min

Module 36: Continue the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion2min

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 Gravity4min

Module 38: Continue the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion4min

Module 39: Solve a Work-Energy Problem for 2D Planar Rigid Body Motion10min

Module 40: Continue to Solve a Work-Energy Problem for 2D Planar Rigid Body Motion4min

Module 41: Continue to Solve a Work-Energy Problem for 2D Planar Rigid Body Motion7min

Module 42: Continue to Solve a Work-Energy Problem for 2D Planar Rigid Body Motion3min

12 leituras

Pdf Version of Module 34: Begin the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion Lecture10min

Pdf Version of Module 35: Calculate the Kinetic Energy for Bodies in 2D Planar Motion; Radius of Gyration Lecture10min

Pdf Version of Module 36: Continue the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion Lecture10min

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 Lecture10min

Pdf Version of Module 38: Continue the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion Lecture10min

Pdf Version of Module 39: Solve a Work-Energy Problem for 2D Planar Rigid Body Motion Lecture10min

Pdf Version of Module 40: Continue to Solve a Work-Energy Problem for 2D Planar Rigid Body Motion Lecture10min

Pdf Version of Module 41: Continue to Solve a Work-Energy Problem for 2D Planar Rigid Body Motion Lecture10min

Pdf Version of Module 42: Continue to Solve a Work-Energy Problem for 2D Planar Rigid Body Motion Lecture10min

Worksheet Solutions: Solve a Work-Energy Problem for 2D Planar Rigid Body Motion10min

Practice Problems10min

Solution of Quiz 610min

1 exercício prático

Planar (2D) Rigid Body Kinetics: Translation; Moment of Momentum – Angular Momentum; Equations of Motion II6min

Semana

7

2 horas para concluir

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 vídeos (Total 36 mín.), 9 leituras, 1 teste

5 videos

Module 43: Develop the Principle of Impulse-Momentum for Rigid Bodies in 2D Planar Motion6min

Module 44: Solve a Problem Using the Principle of impulse-Momentum for Rigid Bodies in 2D Planar Motion11min

Module 45: Principle of Conservation of Momentum for Rigid Bodies in 2D Planar Motion6min

Module 46: Principle of Impulse-Momentum Example; Center of Percussion9min

Module 47: Course Conclusion3min

9 leituras

Pdf Version of Module 43: Develop the Principle of Impulse-Momentum for Rigid Bodies in 2D Planar Motion Lecture10min

Pdf Version of Module 44: Solve a Problem Using the Principle of impulse-Momentum for Rigid Bodies in 2D Planar Motion Lecture10min

Worksheet Solutions: Solve a Problem Using the Principle of Impulse-Momentum for Rigid Bodies in 2D Planar Motion10min

Pdf Version of Module 45: Principle of Conservation of Momentum for Rigid Bodies in 2D Planar Motion Lecture10min

Pdf Version of Module 46: Principle of Impulse-Momentum Example; Center of Percussion Lecture10min

Where to go from here?10min

Pdf Version of Module 47: Course Conclusion Lecture10min

Practice Problems10min

Solution of Quiz 710min

1 exercício prático

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

Instrutores

Dr. Wayne Whiteman, PE

Senior Academic Professional

Woodruff School of Mechanical Engineering

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Engenharia de Sistema em Movimento: A dinâmica de partículas e corpos em movimento 2D