Об этом курсе

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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.

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Прибл. 16 часа на выполнение

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

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Субтитры: Английский

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50%

получил значимые преимущества в карьере благодаря этому курсу

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Начните сейчас и учитесь по собственному графику.

Гибкие сроки

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Прибл. 16 часа на выполнение

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

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Субтитры: Английский

Программа курса: что вы изучите

Неделя

1

4 ч. на завершение

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 видео ((всего 74 мин.)), 17 материалов для самостоятельного изучения, 1 тест

8 видео

Module 1: Course Introduction4мин

Module 2: Particle Kinematics; Rectilinear Motion7мин

Module 3: Rectilinear Motion Example8мин

Module 4: Rectangular Cartesian Coordinate System, Cylindrical Coordinate System, Tangential and Normal Coordinate System : Position and Velocity6мин

Module 5: Tangential and Normal Coordinate System: Acceleration; Curvilinear Motion Example using Tangential and Normal Coordinates14мин

Module 6: Define Kinetics; Newton’s 2nd Law; Euler’s 1st Law; Locate Mass Center of Composite Body9мин

Module 7: Solve for the Motion of the Mass Center of Bodies using Newton-Euler Equations I9мин

Module 8: Solve for the Motion of the Mass Center of Bodies using Newton-Euler Equations II13мин

17 материала для самостоятельного изучения

Syllabus10мин

Consent Form10мин

Pdf Version of Module 1: Course Introduction Lecture10мин

Get More from Georgia Tech10мин

Pdf Version of Module 2: Particle Kinematics; Rectilinear Motion Lecture10мин

Pdf Version of Module 3: Rectilinear Motion Example Lecture10мин

Worksheet Solutions: Rectilinear Motion Example10мин

Pdf Version of Module 4: Rectangular Cartesian Coordinate System, Cylindrical Coordinate System, Tangential and Normal Coordinate System : Position and Velocity Lecture10мин

Worksheet Solutions: Tangential and Normal Coordinate System: Acceleration; Curvilinear Motion Example using Tangential and Normal Coordinates10мин

Pdf Version of Module 5: Tangential and Normal Coordinate System: Acceleration; Curvilinear Motion Example using Tangential and Normal Coordinates Lecture10мин

Pdf Version of Module 6: Define Kinetics; Newton’s 2nd Law; Euler’s 1st Law; Locate Mass Center of Composite Body Lecture10мин

Worksheet Solutions: Define Kinetics; Newton’s 2nd Law; Euler’s 1st Law; Locate Mass Center of Composite Body10мин

Pdf Version of Module 7: Solve for the Motion of the Mass Center of Bodies using Newton-Euler Equations I Lecture10мин

Pdf Version of Module 8: Solve for the Motion of the Mass Center of Bodies using Newton-Euler Equations II Lecture10мин

Worksheet Solutions: Solve for the Motion of the Mass Center of Bodies using Newton-Euler Equations II10мин

Practice Problems10мин

Solution of Quiz 110мин

1 практическое упражнение

Course Introduction; Particle Kinematics; Particle Kinetics – Newton’s Laws and Euler’s Laws; Motion of Particles and Mass Centers of Bodies6мин

Неделя

2

2 ч. на завершение

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 видео ((всего 40 мин.)), 8 материалов для самостоятельного изучения, 1 тест

5 видео

Module 9: Work and Kinetic Energy Principle for Particles/System of Particles; Work of a Linear Spring6мин

Module 10: Work Done by Gravity; Work Done by Friction; Solve Work-Energy Problems for Particles/System of Particles8мин

Module 11: Impulse-Momentum Relationship; Define Impact6мин

Module 12: Define Coefficient of Restitution; Solve an Impact Problem11мин

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

8 материала для самостоятельного изучения

Pdf Version of Module 9: Work and Kinetic Energy Principle for Particles/System of Particles; Work of a Linear Spring Lecture10мин

Pdf Version of Module 10: Work Done by Gravity; Work Done by Friction; Solve Work-Energy Problems for Particles/System of Particles Lecture10мин

Pdf Version of Module 11: Impulse-Momentum Relationship; Define Impact Lecture10мин

Pdf Version of Module 12: Define Coefficient of Restitution; Solve an Impact Problem Lecture10мин

Pdf Version of Module 13: Define Angular Momentum; Euler’s 2nd Law (The Moment Equation) Lecture10мин

Earn a Georgia Tech Badge/Certificate/CEUs10мин

Practice Problems10мин

Solution of Quiz 210мин

1 практическое упражнение

Work-Energy Principle for Particles/Systems of Particles; Impulse and Momentum; Impact; Conservation of Momentum; Euler’s 2nd Law – Moment of Momentum6мин

Неделя

3

3 ч. на завершение

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 видео ((всего 58 мин.)), 11 материалов для самостоятельного изучения, 1 тест

6 видео

Module 14: Define Rigid Body Kinematics; Identify three types of Planar Rigid Body Motion; Derive Relative Velocity Equation11мин

Module 15: Solve a Relative Velocity problem9мин

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

Module 17: Solve an Instantaneous Center of Zero Velocity (IC) Problem9мин

Module 18: Define Angular Acceleration; Derive the Relative Acceleration Equation7мин

Module 19: Solve a Relative Acceleration Problem9мин

11 материала для самостоятельного изучения

Pdf Version of Module 14: Define Rigid Body Kinematics; Identify three types of Planar Rigid Body Motion; Derive Relative Velocity Equation Lecture10мин

Pdf Version of Module 15: Solve a Relative Velocity problem Lecture10мин

Worksheet Solutions: Solve a Relative Velocity Problem10мин

Pdf Version of Module 16: Define and Locate the Instantaneous Center of Zero Velocity (IC) Lecture10мин

Pdf Version of Module 17: Solve an Instantaneous Center of Zero Velocity (IC) Problem Lecture10мин

Worksheet Solutions: Solve an Instantaneous Center of Zero Velocity (IC) Problem10мин

Pdf Version of Module 18: Define Angular Acceleration; Derive the Relative Acceleration Equation Lecture10мин

Pdf Version of Module 19: Solve a Relative Acceleration Problem Lecture10мин

Worksheet Solutions: Solve a Relative Acceleration Problem10мин

Practice Problems10мин

Solution of Quiz 310мин

1 практическое упражнение

Planar (2D) Rigid Body Kinematics: Relative Velocity Equation; Rotation about a Fixed Axis; Instantaneous Center of Zero Velocity; Relative Acceleration Equation6мин

Неделя

4

3 ч. на завершение

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 видео ((всего 73 мин.)), 12 материалов для самостоятельного изучения, 1 тест

8 видео

Module 20: Acceleration of a Wheel Rolling on a Fixed Straight Surface7мин

Module 21: Acceleration of a Wheel rolling on a Fixed Plane Curve8мин

Module 22: Solve a Rolling Wheel Problem4мин

Module 23: Explain the Velocity of the Same Point Relative to Two Different Reference Frames or Bodies; Derive the Derivative Formula11мин

Module 24: Derive the Equation for the Velocity of the Same Point Relative to Two Different Reference Frames or Bodies in Planar Motion7мин

Module 25: Solve a Problem for the Velocity of the Same Point Relative to Two Different Frames or Bodies in Planar Motion10мин

Module 26: Derive the Equation for the Acceleration of the Same Point Relative to Two Different Reference Frames or Bodies in Planar Motion10мин

Module 27: Solve for the Acceleration of the Same Point Relative to Two Different Reference Frames or Bodies in Planar Motion12мин

12 материала для самостоятельного изучения

Pdf Version of Module 20: Acceleration of a Wheel Rolling on a Fixed Straight Surface Lecture10мин

Pdf Version of Module 21: Acceleration of a Wheel rolling on a Fixed Plane Curve Lecture10мин

Pdf Version of Module 22: Solve a Rolling Wheel Problem Lecture10мин

Pdf Version of Module 23: Explain the Velocity of the Same Point Relative to Two Different Reference Frames or Bodies; Derive the Derivative Formula Lecture10мин

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 Lecture10мин

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 Lecture10мин

Worksheet Solutions: Solve a Problem for the Velocity of the Same Point Relative to Two Different Frames or Bodies in Planar Motion10мин

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 Lecture10мин

Pdf Version of Module 27: Solve for the Acceleration of the Same Point Relative to Two Different Reference Frames or Bodies in Planar Motion Lecture10мин

Worksheet Solutions: Solve for the Acceleration of the Same Point Relative to Two Different Reference Frames or Bodies in Planar Motion10мин

Practice Problems10мин

Solution of Quiz 410мин

1 практическое упражнение

Planar (2D) Rigid Body Kinematics: Relative Velocity Equation; Rotation about a Fixed Axis; Instantaneous Center of Zero Velocity; Relative Acceleration Equation II6мин

Неделя

5

3 ч. на завершение

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 видео ((всего 58 мин.)), 11 материалов для самостоятельного изучения, 1 тест

6 видео

Module 28: Develop the Kinetic Equatoin for a Body Translating in 2D Planar Motion5мин

Module 29: Solve a Problem for a Body Translating in 2D Planar Motion11мин

Module 30: Derive Angular Momentum for a Rigid Body in 2D Planar Motion; Define Moments of Inertia and Products of Inertia8мин

Module 31: Explain and Determine Mass Moments of Inertia and Products of Inertia7мин

Module 32: Derive the Equations of Motion for a Rigid Body in 2D Planar Motion8мин

Module 33: Solve a Problem for Motion of a Rigid Body in 2D Planar Motion16мин

11 материала для самостоятельного изучения

Pdf Version of Module 28: Develop the Kinetic Equatoin for a Body Translating in 2D Planar Motion Lecture10мин

Pdf Version of Module 29: Solve a Problem for a Body Translating in 2D Planar Motion Lecture10мин

Worksheet Solutions: Solve a Problem for a Body Translating in 2D Planar Motion10мин

Pdf Version of Module 30: Derive Angular Momentum for a Rigid Body in 2D Planar Motion; Define Moments of Inertia and Products of Inertia Lecture10мин

Pdf Version of Module 31: Explain and Determine Mass Moments of Inertia and Products of Inertia Lecture10мин

Worksheet Solutions: Explain and Determine Mass Moments of Inertia and Products of Inertia10мин

Pdf Version of Module 32: Derive the Equations of Motion for a Rigid Body in 2D Planar Motion Lecture10мин

Pdf Version of Module 33: Solve a Problem for Motion of a Rigid Body in 2D Planar Motion Lecture10мин

Worksheet Solutions: Solve a Problem for Motion of a Rigid Body in 2D Planar Motion10мин

Practice Problems10мин

Solution of Quiz 510мин

1 практическое упражнение

Planar (2D) Rigid Body Kinetics: Translation; Moment of Momentum – Angular Momentum; Equations of Motion I6мин

Неделя

6

3 ч. на завершение

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 видео ((всего 51 мин.)), 12 материалов для самостоятельного изучения, 1 тест

9 видео

Module 34: Begin the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion5мин

Module 35: Calculate the Kinetic Energy for Bodies in 2D Planar Motion; Radius of Gyration8мин

Module 36: Continue the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion2мин

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 Gravity4мин

Module 38: Continue the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion4мин

Module 39: Solve a Work-Energy Problem for 2D Planar Rigid Body Motion10мин

Module 40: Continue to Solve a Work-Energy Problem for 2D Planar Rigid Body Motion4мин

Module 41: Continue to Solve a Work-Energy Problem for 2D Planar Rigid Body Motion7мин

Module 42: Continue to Solve a Work-Energy Problem for 2D Planar Rigid Body Motion3мин

12 материала для самостоятельного изучения

Pdf Version of Module 34: Begin the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion Lecture10мин

Pdf Version of Module 35: Calculate the Kinetic Energy for Bodies in 2D Planar Motion; Radius of Gyration Lecture10мин

Pdf Version of Module 36: Continue the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion Lecture10мин

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 Lecture10мин

Pdf Version of Module 38: Continue the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion Lecture10мин

Pdf Version of Module 39: Solve a Work-Energy Problem for 2D Planar Rigid Body Motion Lecture10мин

Pdf Version of Module 40: Continue to Solve a Work-Energy Problem for 2D Planar Rigid Body Motion Lecture10мин

Pdf Version of Module 41: Continue to Solve a Work-Energy Problem for 2D Planar Rigid Body Motion Lecture10мин

Pdf Version of Module 42: Continue to Solve a Work-Energy Problem for 2D Planar Rigid Body Motion Lecture10мин

Worksheet Solutions: Solve a Work-Energy Problem for 2D Planar Rigid Body Motion10мин

Practice Problems10мин

Solution of Quiz 610мин

1 практическое упражнение

Planar (2D) Rigid Body Kinetics: Translation; Moment of Momentum – Angular Momentum; Equations of Motion II6мин

Неделя

7

2 ч. на завершение

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 видео ((всего 36 мин.)), 9 материалов для самостоятельного изучения, 1 тест

5 видео

Module 43: Develop the Principle of Impulse-Momentum for Rigid Bodies in 2D Planar Motion6мин

Module 44: Solve a Problem Using the Principle of impulse-Momentum for Rigid Bodies in 2D Planar Motion11мин

Module 45: Principle of Conservation of Momentum for Rigid Bodies in 2D Planar Motion6мин

Module 46: Principle of Impulse-Momentum Example; Center of Percussion9мин

Module 47: Course Conclusion3мин

9 материала для самостоятельного изучения

Pdf Version of Module 43: Develop the Principle of Impulse-Momentum for Rigid Bodies in 2D Planar Motion Lecture10мин

Pdf Version of Module 44: Solve a Problem Using the Principle of impulse-Momentum for Rigid Bodies in 2D Planar Motion Lecture10мин

Worksheet Solutions: Solve a Problem Using the Principle of Impulse-Momentum for Rigid Bodies in 2D Planar Motion10мин

Pdf Version of Module 45: Principle of Conservation of Momentum for Rigid Bodies in 2D Planar Motion Lecture10мин

Pdf Version of Module 46: Principle of Impulse-Momentum Example; Center of Percussion Lecture10мин

Where to go from here?10мин

Pdf Version of Module 47: Course Conclusion Lecture10мин

Practice Problems10мин

Solution of Quiz 710мин

1 практическое упражнение

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

Преподаватели

Dr. Wayne Whiteman, PE

Senior Academic Professional

Woodruff School of Mechanical Engineering

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Инженерные системы в движении: Динамика частиц и тел в 2D движении