运动工程系统：粒子和物体的动态运动

乔治亚理工学院

课程信息

69,706 次近期查看

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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完成时间大约为23 小时

英语（English）

字幕：法语（French）, 巴西葡萄牙语, 俄语（Russian）, 英语（English）, 西班牙语（Spanish）

讲师

授课教师评分

4.81/5 （50 个评分）

Dr. Wayne Whiteman, PE

Senior Academic Professional

Woodruff School of Mechanical Engineering

288,192 个学生

12 门课程

学生职业成果

50%

通过此课程获得实实在在的工作福利

可分享的证书

完成后获得证书

100% 在线

立即开始，按照自己的计划学习。

可灵活调整截止日期

根据您的日程表重置截止日期。

完成时间大约为23 小时

英语（English）

字幕：法语（French）, 巴西葡萄牙语, 俄语（Russian）, 英语（English）, 西班牙语（Spanish）

提供方

乔治亚理工学院

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.

教学大纲 - 您将从这门课程中学到什么

内容评分96%（2,489 个评分）

周

周 1

完成时间为 5 小时

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.

完成时间为 5 小时

8 个视频（总计 74 分钟）, 17 个阅读材料, 1 个测验

8 个视频

Module 1: Course Introduction4分钟

Module 2: Particle Kinematics; Rectilinear Motion7分钟

Module 3: Rectilinear Motion Example8分钟

Module 4: Rectangular Cartesian Coordinate System, Cylindrical Coordinate System, Tangential and Normal Coordinate System : Position and Velocity6分钟

Module 5: Tangential and Normal Coordinate System: Acceleration; Curvilinear Motion Example using Tangential and Normal Coordinates14分钟

Module 6: Define Kinetics; Newton’s 2nd Law; Euler’s 1st Law; Locate Mass Center of Composite Body9分钟

Module 7: Solve for the Motion of the Mass Center of Bodies using Newton-Euler Equations I9分钟

Module 8: Solve for the Motion of the Mass Center of Bodies using Newton-Euler Equations II13分钟

17 个阅读材料

Syllabus10分钟

Consent Form10分钟

Pdf Version of Module 1: Course Introduction Lecture10分钟

Get More from Georgia Tech10分钟

Pdf Version of Module 2: Particle Kinematics; Rectilinear Motion Lecture10分钟

Pdf Version of Module 3: Rectilinear Motion Example Lecture10分钟

Worksheet Solutions: Rectilinear Motion Example10分钟

Pdf Version of Module 4: Rectangular Cartesian Coordinate System, Cylindrical Coordinate System, Tangential and Normal Coordinate System : Position and Velocity Lecture10分钟

Worksheet Solutions: Tangential and Normal Coordinate System: Acceleration; Curvilinear Motion Example using Tangential and Normal Coordinates10分钟

Pdf Version of Module 5: Tangential and Normal Coordinate System: Acceleration; Curvilinear Motion Example using Tangential and Normal Coordinates Lecture10分钟

Pdf Version of Module 6: Define Kinetics; Newton’s 2nd Law; Euler’s 1st Law; Locate Mass Center of Composite Body Lecture10分钟

Worksheet Solutions: Define Kinetics; Newton’s 2nd Law; Euler’s 1st Law; Locate Mass Center of Composite Body10分钟

Pdf Version of Module 7: Solve for the Motion of the Mass Center of Bodies using Newton-Euler Equations I Lecture10分钟

Pdf Version of Module 8: Solve for the Motion of the Mass Center of Bodies using Newton-Euler Equations II Lecture10分钟

Worksheet Solutions: Solve for the Motion of the Mass Center of Bodies using Newton-Euler Equations II10分钟

Practice Problems10分钟

Solution of Quiz 110分钟

1 个练习

Course Introduction; Particle Kinematics; Particle Kinetics – Newton’s Laws and Euler’s Laws; Motion of Particles and Mass Centers of Bodies30分钟

周

周 2

完成时间为 2 小时

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.

完成时间为 2 小时

5 个视频（总计 40 分钟）, 8 个阅读材料, 1 个测验

5 个视频

Module 9: Work and Kinetic Energy Principle for Particles/System of Particles; Work of a Linear Spring6分钟

Module 10: Work Done by Gravity; Work Done by Friction; Solve Work-Energy Problems for Particles/System of Particles8分钟

Module 11: Impulse-Momentum Relationship; Define Impact6分钟

Module 12: Define Coefficient of Restitution; Solve an Impact Problem11分钟

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

8 个阅读材料

Pdf Version of Module 9: Work and Kinetic Energy Principle for Particles/System of Particles; Work of a Linear Spring Lecture10分钟

Pdf Version of Module 10: Work Done by Gravity; Work Done by Friction; Solve Work-Energy Problems for Particles/System of Particles Lecture10分钟

Pdf Version of Module 11: Impulse-Momentum Relationship; Define Impact Lecture10分钟

Pdf Version of Module 12: Define Coefficient of Restitution; Solve an Impact Problem Lecture10分钟

Pdf Version of Module 13: Define Angular Momentum; Euler’s 2nd Law (The Moment Equation) Lecture10分钟

Earn a Georgia Tech Badge/Certificate/CEUs10分钟

Practice Problems10分钟

Solution of Quiz 210分钟

1 个练习

Work-Energy Principle for Particles/Systems of Particles; Impulse and Momentum; Impact; Conservation of Momentum; Euler’s 2nd Law – Moment of Momentum30分钟

周

周 3

完成时间为 3 小时

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.

完成时间为 3 小时

6 个视频（总计 58 分钟）, 11 个阅读材料, 1 个测验

6 个视频

Module 14: Define Rigid Body Kinematics; Identify three types of Planar Rigid Body Motion; Derive Relative Velocity Equation11分钟

Module 15: Solve a Relative Velocity problem9分钟

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

Module 17: Solve an Instantaneous Center of Zero Velocity (IC) Problem9分钟

Module 18: Define Angular Acceleration; Derive the Relative Acceleration Equation7分钟

Module 19: Solve a Relative Acceleration Problem9分钟

11 个阅读材料

Pdf Version of Module 14: Define Rigid Body Kinematics; Identify three types of Planar Rigid Body Motion; Derive Relative Velocity Equation Lecture10分钟

Pdf Version of Module 15: Solve a Relative Velocity problem Lecture10分钟

Worksheet Solutions: Solve a Relative Velocity Problem10分钟

Pdf Version of Module 16: Define and Locate the Instantaneous Center of Zero Velocity (IC) Lecture10分钟

Pdf Version of Module 17: Solve an Instantaneous Center of Zero Velocity (IC) Problem Lecture10分钟

Worksheet Solutions: Solve an Instantaneous Center of Zero Velocity (IC) Problem10分钟

Pdf Version of Module 18: Define Angular Acceleration; Derive the Relative Acceleration Equation Lecture10分钟

Pdf Version of Module 19: Solve a Relative Acceleration Problem Lecture10分钟

Worksheet Solutions: Solve a Relative Acceleration Problem10分钟

Practice Problems10分钟

Solution of Quiz 310分钟

1 个练习

Planar (2D) Rigid Body Kinematics: Relative Velocity Equation; Rotation about a Fixed Axis; Instantaneous Center of Zero Velocity; Relative Acceleration Equation30分钟

周

周 4

完成时间为 4 小时

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.

完成时间为 4 小时

8 个视频（总计 73 分钟）, 12 个阅读材料, 1 个测验

8 个视频

Module 20: Acceleration of a Wheel Rolling on a Fixed Straight Surface7分钟

Module 21: Acceleration of a Wheel rolling on a Fixed Plane Curve8分钟

Module 22: Solve a Rolling Wheel Problem4分钟

Module 23: Explain the Velocity of the Same Point Relative to Two Different Reference Frames or Bodies; Derive the Derivative Formula11分钟

Module 24: Derive the Equation for the Velocity of the Same Point Relative to Two Different Reference Frames or Bodies in Planar Motion7分钟

Module 25: Solve a Problem for the Velocity of the Same Point Relative to Two Different Frames or Bodies in Planar Motion10分钟

Module 26: Derive the Equation for the Acceleration of the Same Point Relative to Two Different Reference Frames or Bodies in Planar Motion10分钟

Module 27: Solve for the Acceleration of the Same Point Relative to Two Different Reference Frames or Bodies in Planar Motion12分钟

12 个阅读材料

Pdf Version of Module 20: Acceleration of a Wheel Rolling on a Fixed Straight Surface Lecture10分钟

Pdf Version of Module 21: Acceleration of a Wheel rolling on a Fixed Plane Curve Lecture10分钟

Pdf Version of Module 22: Solve a Rolling Wheel Problem Lecture10分钟

Pdf Version of Module 23: Explain the Velocity of the Same Point Relative to Two Different Reference Frames or Bodies; Derive the Derivative Formula Lecture10分钟

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 Lecture10分钟

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 Lecture10分钟

Worksheet Solutions: Solve a Problem for the Velocity of the Same Point Relative to Two Different Frames or Bodies in Planar Motion10分钟

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 Lecture10分钟

Pdf Version of Module 27: Solve for the Acceleration of the Same Point Relative to Two Different Reference Frames or Bodies in Planar Motion Lecture10分钟

Worksheet Solutions: Solve for the Acceleration of the Same Point Relative to Two Different Reference Frames or Bodies in Planar Motion10分钟

Practice Problems10分钟

Solution of Quiz 410分钟

1 个练习

Planar (2D) Rigid Body Kinematics: Relative Velocity Equation; Rotation about a Fixed Axis; Instantaneous Center of Zero Velocity; Relative Acceleration Equation II30分钟

周

周 5

完成时间为 3 小时

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.

完成时间为 3 小时

6 个视频（总计 58 分钟）, 11 个阅读材料, 1 个测验

6 个视频

Module 28: Develop the Kinetic Equatoin for a Body Translating in 2D Planar Motion5分钟

Module 29: Solve a Problem for a Body Translating in 2D Planar Motion11分钟

Module 30: Derive Angular Momentum for a Rigid Body in 2D Planar Motion; Define Moments of Inertia and Products of Inertia8分钟

Module 31: Explain and Determine Mass Moments of Inertia and Products of Inertia7分钟

Module 32: Derive the Equations of Motion for a Rigid Body in 2D Planar Motion8分钟

Module 33: Solve a Problem for Motion of a Rigid Body in 2D Planar Motion16分钟

11 个阅读材料

Pdf Version of Module 28: Develop the Kinetic Equatoin for a Body Translating in 2D Planar Motion Lecture10分钟

Pdf Version of Module 29: Solve a Problem for a Body Translating in 2D Planar Motion Lecture10分钟

Worksheet Solutions: Solve a Problem for a Body Translating in 2D Planar Motion10分钟

Pdf Version of Module 30: Derive Angular Momentum for a Rigid Body in 2D Planar Motion; Define Moments of Inertia and Products of Inertia Lecture10分钟

Pdf Version of Module 31: Explain and Determine Mass Moments of Inertia and Products of Inertia Lecture10分钟

Worksheet Solutions: Explain and Determine Mass Moments of Inertia and Products of Inertia10分钟

Pdf Version of Module 32: Derive the Equations of Motion for a Rigid Body in 2D Planar Motion Lecture10分钟

Pdf Version of Module 33: Solve a Problem for Motion of a Rigid Body in 2D Planar Motion Lecture10分钟

Worksheet Solutions: Solve a Problem for Motion of a Rigid Body in 2D Planar Motion10分钟

Practice Problems10分钟

Solution of Quiz 510分钟

1 个练习

Planar (2D) Rigid Body Kinetics: Translation; Moment of Momentum – Angular Momentum; Equations of Motion I30分钟

周

周 6

完成时间为 3 小时

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.

完成时间为 3 小时

9 个视频（总计 51 分钟）, 12 个阅读材料, 1 个测验

9 个视频

Module 34: Begin the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion5分钟

Module 35: Calculate the Kinetic Energy for Bodies in 2D Planar Motion; Radius of Gyration8分钟

Module 36: Continue the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion2分钟

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 Gravity4分钟

Module 38: Continue the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion4分钟

Module 39: Solve a Work-Energy Problem for 2D Planar Rigid Body Motion10分钟

Module 40: Continue to Solve a Work-Energy Problem for 2D Planar Rigid Body Motion4分钟

Module 41: Continue to Solve a Work-Energy Problem for 2D Planar Rigid Body Motion7分钟

Module 42: Continue to Solve a Work-Energy Problem for 2D Planar Rigid Body Motion3分钟

12 个阅读材料

Pdf Version of Module 34: Begin the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion Lecture10分钟

Pdf Version of Module 35: Calculate the Kinetic Energy for Bodies in 2D Planar Motion; Radius of Gyration Lecture10分钟

Pdf Version of Module 36: Continue the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion Lecture10分钟

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 Lecture10分钟

Pdf Version of Module 38: Continue the Development of the Work-Energy Principle for Rigid Bodies in 2D Planar Motion Lecture10分钟

Pdf Version of Module 39: Solve a Work-Energy Problem for 2D Planar Rigid Body Motion Lecture10分钟

Pdf Version of Module 40: Continue to Solve a Work-Energy Problem for 2D Planar Rigid Body Motion Lecture10分钟

Pdf Version of Module 41: Continue to Solve a Work-Energy Problem for 2D Planar Rigid Body Motion Lecture10分钟

Pdf Version of Module 42: Continue to Solve a Work-Energy Problem for 2D Planar Rigid Body Motion Lecture10分钟

Worksheet Solutions: Solve a Work-Energy Problem for 2D Planar Rigid Body Motion10分钟

Practice Problems10分钟

Solution of Quiz 610分钟

1 个练习

Planar (2D) Rigid Body Kinetics: Translation; Moment of Momentum – Angular Momentum; Equations of Motion II30分钟

周

周 7

完成时间为 3 小时

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.

完成时间为 3 小时

5 个视频（总计 36 分钟）, 9 个阅读材料, 1 个测验

5 个视频

Module 43: Develop the Principle of Impulse-Momentum for Rigid Bodies in 2D Planar Motion6分钟

Module 44: Solve a Problem Using the Principle of impulse-Momentum for Rigid Bodies in 2D Planar Motion11分钟

Module 45: Principle of Conservation of Momentum for Rigid Bodies in 2D Planar Motion6分钟

Module 46: Principle of Impulse-Momentum Example; Center of Percussion9分钟

Module 47: Course Conclusion3分钟

9 个阅读材料

Pdf Version of Module 43: Develop the Principle of Impulse-Momentum for Rigid Bodies in 2D Planar Motion Lecture10分钟

Pdf Version of Module 44: Solve a Problem Using the Principle of impulse-Momentum for Rigid Bodies in 2D Planar Motion Lecture10分钟

Worksheet Solutions: Solve a Problem Using the Principle of Impulse-Momentum for Rigid Bodies in 2D Planar Motion10分钟

Pdf Version of Module 45: Principle of Conservation of Momentum for Rigid Bodies in 2D Planar Motion Lecture10分钟

Pdf Version of Module 46: Principle of Impulse-Momentum Example; Center of Percussion Lecture10分钟

Where to go from here?10分钟

Pdf Version of Module 47: Course Conclusion Lecture10分钟

Practice Problems10分钟

Solution of Quiz 710分钟

1 个练习

Planar (2D) Rigid Body Kinetics (continued): Impulse-Momentum Method; Conservation of Momentum. Course Conclusion.30分钟

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运动工程系统：粒子和物体的动态运动