Offered By

Georgia Institute of Technology

About this Course

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This course is an advanced study of bodies in motion as applied to engineering systems and structures. We will study the dynamics of rigid bodies in 3D 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 course entitled Engineering Systems in Motion: Dynamics of Particles and Bodies in 2D Motion.” 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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Suggested: 6 weeks of material; 5 to 7 hours per week work for students...

Subtitles: English

Start instantly and learn at your own schedule.

Reset deadlines in accordance to your schedule.

Suggested: 6 weeks of material; 5 to 7 hours per week work for students...

Subtitles: English

Week

1In this section students will learn to derive the "derivative formula." We will define angular velocity for 3D motion and learn to determine and solve for the Angular Acceleration for a body. ...

6 videos (Total 53 min), 13 readings, 1 quiz

Module 2: Derive the “Derivative Formula”; Define Angular Velocity for 3D Motion12m

Module 3: Define the Properties of Angular Velocity for 3D Motion5m

Module 4: Solve for the Angular Velocity of a body undergoing 3D Motion10m

Module 5: Determine the Angular Acceleration for a Moving Reference Frame Relative to another Reference Frame8m

Module 6: Solve for the Angular Acceleration for a Body expressed in a Series of Multiple Reference Frames10m

Syllabus10m

Consent Form10m

Pdf version of Course Introduction Lecture10m

Pdf version Module 2: Derive the “Derivative Formula”; Define Angular Velocity for 3D Motion Lecture10m

Pdf version of Module 3: Define the Properties of Angular Velocity for 3D Motion Lecture10m

Pdf version of Module 4: Solve for the Angular Velocity of a body undergoing 3D Motion Lecture10m

Worksheet Solutions: Solve for the Angular Velocity of a Body Undergoing 3D Motion10m

Pdf version of Module 5: Determine the Angular Acceleration for a Moving Reference Frame Relative to another Reference Frame Lecture10m

Pdf version of Module 6: Solve for the Angular Acceleration for a Body expressed in a Series of Multiple Reference Frames Lecture10m

Worksheet Solutions: Solve for the Angular Acceleration for a Body Expressed in a Series of Multiple Reference Frames10m

Get More from Georgia Tech10m

Practice Problems10m

Solution of Quiz 110m

Course Introduction; Angular Velocity; Angular Acceleration6m

Week

2In this section students will learn about velocities in moving reference frames, accelerations in moving reference frames, and the Earth as a moving frame. ...

6 videos (Total 64 min), 11 readings, 1 quiz

Module 8: Solve for Velocities Expressed in Moving Frames of Reference10m

Module 9: Accelerations expressed in Moving Frames of Reference10m

Module 10: Solve for the Velocity and the Acceleration for Bodies Undergoing 3D Motion and Expressed in Moving Frames of Reference12m

Module 11: Equations of Motion for a Particle Moving Close to the Earth12m

Module 12: Solve a Problem for the Motion of Particles Moving Close to the Earth6m

Pdf version of Module 7: Velocities expressed in Moving Frames of Reference Lecture10m

Pdf version of Module 8: Solve for Velocities Expressed in Moving Frames of Reference Lecture10m

Worksheet Solutions: Solve for Velocities Expressed in Moving Frames of Reference10m

Pdf version of Module 9: Accelerations expressed in Moving Frames of Reference Lecture10m

Pdf version of Module 10: Solve for the Velocity and the Acceleration for Bodies Undergoing 3D Motion and Expressed in Moving Frames of Reference Lecture10m

Worksheet Solutions: Solve for the Velocity and the Acceleration for Bodies Undergoing 3D Motion and Expressed in Moving Frames of Reference10m

Pdf version of Module 11: Equations of Motion for a Particle Moving Close to the Earth Lecture10m

Pdf version of Module 12: Solve a Problem for the Motion of Particles Moving Close to the Earth Lecture10m

Earn a Georgia Tech Badge/Certificate/CEUs10m

Practice Problems10m

Solution of Quiz 210m

Velocities in Moving Reference Frames; Accelerations in Moving Reference Frames; The Earth as a Moving Frame6m

Week

3In this section students will learn about Eulerian Angles rotation matrices, angular momentum in 3D, and intertial properties of 3D bodies....

8 videos (Total 70 min), 10 readings, 1 quiz

Module 14: Angular Velocity of Bodies in 3D Motion using Eulerian Angles6m

Module 15: Derive Rotational Transformation Matrices6m

Module 16: Solve a Problem Using Rotational Transformation Matrices7m

Module 17: Review Particle Kinetics; Newton’s Laws for Particles; and Euler’s 1st Law for Bodies10m

Module 18: Review the Definition of Angular Momentum; and Euler’s 2nd Law for Bodies7m

Module 19: Angular Momentum for Bodies in 3D Motion12m

Module 20: Review Mass Moments of Inertia and Products of Inertia; Inertial Property Matrix11m

Pdf version of Module 13: Eulerian Angles for 3D Rotational Motion Lecture10m

Pdf version of Module 14: Angular Velocity of Bodies in 3D Motion using Eulerian Angles Lecture10m

Pdf version of Module 15: Derive Rotational Transformation Matrices Lecture10m

Pdf version of Module 16: Solve a Problem Using Rotational Transformation Matrices Lecture10m

Pdf version of Module 17: Review Particle Kinetics; Newton’s Laws for Particles; and Euler’s 1st Law for Bodies Lecture10m

Pdf version of Module 18: Review the Definition of Angular Momentum; and Euler’s 2nd Law for Bodies Lecture10m

Pdf version of Module 19: Angular Momentum for Bodies in 3D Motion Lecture10m

Pdf version of Module 20: Review Mass Moments of Inertia and Products of Inertia; Inertial Property Matrix Lecture10m

Practice Problems10m

Solution of Quiz 310m

Eulerian Angles; Eulerian Angles Rotation Matrices; Angular Momentum in 3D; Inertial Properties of 3D Bodies6m

Week

4In this section students will learn about translational and rotational transformations of inertial properties, and principal axes and principal moments of inertia....

6 videos (Total 47 min), 9 readings, 1 quiz

Module 22: Rotational Transformation of Inertial Properties4m

Module 23: Rotational Transformation of Inertial Properties (cont)8m

Module 24: Define Principal Axes and Principal Moments of Inertia4m

Module 25: Determine Principal Axes and Principal Moments of Inertia10m

Module 26: Solve for Principal Axes and Principal Moments of Inertia with an Example11m

Pdf version of Module 21: Translational Transformation of Inertial Properties Lecture10m

Pdf Version of Module 22: Rotational Transformation of Inertial Properties Lecture10m

Pdf Version of Module 23: Rotational Transformation of Inertial Properties (cont) Lecture10m

Pdf Version of Module 24: Define Principal Axes and Principal Moments of Inertia Lecture10m

Pdf Version of Module 25 Determine Principal Axes and Principal Moments of Inertia Lecture10m

Pdf Version of Module 26: Solve for Principal Axes and Principal Moments of Inertia Lecture10m

Worksheet Solutions: Solve for Principal Axes and Principal Moments of Inertia with an Example10m

Practice Problems10m

Solution of Quiz 410m

Translational and Rotational Transformations of Inertial Properties; Principal Axes and Principal Moments of Inertia.6m

Week

5In this section students will learn to develop Euler Equations for 3d motion and solve for the motion of a rigid body undergoing 3D rotational motion....

5 videos (Total 60 min), 8 readings, 1 quiz

Module 28: Develop Euler Equations for 3D Motion (cont.)5m

Module 29: Solve for the Motion of a Rigid Body Undergoing 3D Rotational Motion14m

Module 30: Solve for the Motion of a Rigid Body Undergoing 3D Rotational Motion (cont.)10m

Module 31: Solve for the Motion of a Rigid Body Undergoing 3D Rotational Motion (cont.)19m

Pdf Version of Module 27: Develop Euler Equations for 3D Motion Lecture10m

Pdf Version of Module 28: Develop Euler Equations for 3D Motion (cont.) Lecture10m

Pdf Version of Module 29: Solve for the Motion of a Rigid Body Undergoing 3D Rotational Motion Lecture10m

Pdf Version of Module 30: Solve for the Motion of a Rigid Body Undergoing 3D Rotational Motion Lecture10m

Pdf Version of Module 31: Solve for the Motion of a Rigid Body Undergoing 3D Rotational Motion Lecture10m

Worksheet Solutions: Solve for the Motion of a Rigid Body Undergoing 3D Rotational Motion10m

Practice Problems10m

Solution of Quiz 510m

Motion Equations Governing 3D Rotational Motion of a Rigid Body (Euler Equations)6m

Week

6In this section students will learn to develop and apply the principle of impulse-momentum and about 3D work-energy principles....

4 videos (Total 33 min), 8 readings, 1 quiz

Module 33: Develop the Principle of Work-Energy for Bodies in 3D Rigid Body Motion8m

Module 34: Apply the Principle of Work-Energy for Bodies in 3D Rigid Body Motion7m

Module 35: Course Conclusion2m

Pdf Version of Module 32: Develop and Apply the Principle of Impulse-Momentum to Rigid Bodies Undergoing Motion Lecture10m

Pdf Version of Module 33: Develop the Principle of Work-Energy for Bodies in 3D Rigid Body Motion Lecture10m

Pdf Version of Module 34: Apply the Principle of Work-Energy for Bodies in 3D Rigid Body Motion Lecture10m

Worksheet Solutions: Apply the Principle of Work-Energy for Bodies in 3D Rigid Body Motion10m

Pdf Version of Module 35: Course Conclusion Lecture10m

Where to go from here?10m

Practice Problems10m

Solution of Quiz 610m

3D Impulse-Momentum Principles; 3D Work-Energy Principles6m

4.8

28 Reviewsgot a tangible career benefit from this course

By AC•Nov 24th 2016

The instructor does a fascinating job of structuring and delivering the course material. The concepts are simplified and well explained with the help of practical applications and relevance.

By RA•Feb 13th 2017

It really changed my perception of viewing things around me. Dr. Whiteman is an expert at teaching mechanics. I recommend this course for all the non-circuit branches of engineering.

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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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