Advanced Engineering Systems in Motion: Dynamics of Three Dimensional (3D) Motion
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.
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- Level Foundation
- Duration 18 hours
- Course by Georgia Institute of Technology
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Offered by
About
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. --------------------------- 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. --------------------------- 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. --------------------------- 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.Modules
Course Introduction; Angular Velocity; Angular Acceleration
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6
Videos
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11
Readings
6
Videos
- Course Introduction
- Module 2: Derive the “Derivative Formula”; Define Angular Velocity for 3D Motion
- Module 3: Define the Properties of Angular Velocity for 3D Motion
- Module 4: Solve for the Angular Velocity of a body undergoing 3D Motion
- Module 5: Determine the Angular Acceleration for a Moving Reference Frame Relative to another Reference Frame
- Module 6: Solve for the Angular Acceleration for a Body expressed in a Series of Multiple Reference Frames
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Readings
- Syllabus
- Consent Form
- Pdf version of Course Introduction Lecture
- Pdf version Module 2: Derive the “Derivative Formula”; Define Angular Velocity for 3D Motion Lecture
- Pdf version of Module 3: Define the Properties of Angular Velocity for 3D Motion Lecture
- Pdf version of Module 4: Solve for the Angular Velocity of a body undergoing 3D Motion Lecture
- Worksheet Solutions: Solve for the Angular Velocity of a Body Undergoing 3D Motion
- Pdf version of Module 5: Determine the Angular Acceleration for a Moving Reference Frame Relative to another Reference Frame Lecture
- Pdf version of Module 6: Solve for the Angular Acceleration for a Body expressed in a Series of Multiple Reference Frames Lecture
- Worksheet Solutions: Solve for the Angular Acceleration for a Body Expressed in a Series of Multiple Reference Frames
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Quiz
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2
Readings
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1
Assignment
1
Assignment
- Course Introduction; Angular Velocity; Angular Acceleration
2
Readings
- Practice Problems
- Solution of Quiz 1
Velocities in Moving Reference Frames; Accelerations in Moving Reference Frames; The Earth as a Moving Frame
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6
Videos
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9
Readings
6
Videos
- Module 7: Velocities expressed in Moving Frames of Reference
- Module 8: Solve for Velocities Expressed in Moving Frames of Reference
- Module 9: Accelerations expressed in Moving Frames of Reference
- Module 10: Solve for the Velocity and the Acceleration for Bodies Undergoing 3D Motion and Expressed in Moving Frames of Reference
- Module 11: Equations of Motion for a Particle Moving Close to the Earth
- Module 12: Solve a Problem for the Motion of Particles Moving Close to the Earth
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Readings
- Pdf version of Module 7: Velocities expressed in Moving Frames of Reference Lecture
- Pdf version of Module 8: Solve for Velocities Expressed in Moving Frames of Reference Lecture
- Worksheet Solutions: Solve for Velocities Expressed in Moving Frames of Reference
- Pdf version of Module 9: Accelerations expressed in Moving Frames of Reference Lecture
- Pdf version of Module 10: Solve for the Velocity and the Acceleration for Bodies Undergoing 3D Motion and Expressed in Moving Frames of Reference Lecture
- Worksheet Solutions: Solve for the Velocity and the Acceleration for Bodies Undergoing 3D Motion and Expressed in Moving Frames of Reference
- Pdf version of Module 11: Equations of Motion for a Particle Moving Close to the Earth Lecture
- Pdf version of Module 12: Solve a Problem for the Motion of Particles Moving Close to the Earth Lecture
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Quiz
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2
Readings
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1
Assignment
1
Assignment
- Velocities in Moving Reference Frames; Accelerations in Moving Reference Frames; The Earth as a Moving Frame
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Readings
- Practice Problems
- Solution of Quiz 2
Eulerian Angles; Eulerian Angles Rotation Matrices; Angular Momentum in 3D; Inertial Properties of 3D Bodies
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8
Videos
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8
Readings
8
Videos
- Module 13: Eulerian Angles for 3D Rotational Motion
- Module 14: Angular Velocity of Bodies in 3D Motion using Eulerian Angles
- Module 15: Derive Rotational Transformation Matrices
- Module 16: Solve a Problem Using Rotational Transformation Matrices
- Module 17: Review Particle Kinetics; Newton’s Laws for Particles; and Euler’s 1st Law for Bodies
- Module 18: Review the Definition of Angular Momentum; and Euler’s 2nd Law for Bodies
- Module 19: Angular Momentum for Bodies in 3D Motion
- Module 20: Review Mass Moments of Inertia and Products of Inertia; Inertial Property Matrix
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Readings
- Pdf version of Module 13: Eulerian Angles for 3D Rotational Motion Lecture
- Pdf version of Module 14: Angular Velocity of Bodies in 3D Motion using Eulerian Angles Lecture
- Pdf version of Module 15: Derive Rotational Transformation Matrices Lecture
- Pdf version of Module 16: Solve a Problem Using Rotational Transformation Matrices Lecture
- Pdf version of Module 17: Review Particle Kinetics; Newton’s Laws for Particles; and Euler’s 1st Law for Bodies Lecture
- Pdf version of Module 18: Review the Definition of Angular Momentum; and Euler’s 2nd Law for Bodies Lecture
- Pdf version of Module 19: Angular Momentum for Bodies in 3D Motion Lecture
- Pdf version of Module 20: Review Mass Moments of Inertia and Products of Inertia; Inertial Property Matrix Lecture
Quiz
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2
Readings
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1
Assignment
1
Assignment
- Eulerian Angles; Eulerian Angles Rotation Matrices; Angular Momentum in 3D; Inertial Properties of 3D Bodies
2
Readings
- Practice Problems
- Solution of Quiz 3
Translational and Rotational Transformations of Inertial Properties; Principal Axes and Principal Moments of Inertia
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6
Videos
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7
Readings
6
Videos
- Module 21: Translational Transformation of Inertial Properties
- Module 22: Rotational Transformation of Inertial Properties
- Module 23: Rotational Transformation of Inertial Properties (cont)
- Module 24: Define Principal Axes and Principal Moments of Inertia
- Module 25: Determine Principal Axes and Principal Moments of Inertia
- Module 26: Solve for Principal Axes and Principal Moments of Inertia with an Example
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Readings
- Pdf version of Module 21: Translational Transformation of Inertial Properties Lecture
- Pdf Version of Module 22: Rotational Transformation of Inertial Properties Lecture
- Pdf Version of Module 23: Rotational Transformation of Inertial Properties (cont) Lecture
- Pdf Version of Module 24: Define Principal Axes and Principal Moments of Inertia Lecture
- Pdf Version of Module 25 Determine Principal Axes and Principal Moments of Inertia Lecture
- Pdf Version of Module 26: Solve for Principal Axes and Principal Moments of Inertia Lecture
- Worksheet Solutions: Solve for Principal Axes and Principal Moments of Inertia with an Example
Quiz
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2
Readings
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1
Assignment
1
Assignment
- Translational and Rotational Transformations of Inertial Properties; Principal Axes and Principal Moments of Inertia.
2
Readings
- Practice Problems
- Solution of Quiz 4
Motion Equations Governing 3D Rotational Motion of a Rigid Body (Euler Equations)
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5
Videos
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6
Readings
5
Videos
- Module 27: Develop Euler Equations for 3D Motion
- Module 28: Develop Euler Equations for 3D Motion (cont.)
- Module 29: Solve for the Motion of a Rigid Body Undergoing 3D Rotational Motion
- Module 30: Solve for the Motion of a Rigid Body Undergoing 3D Rotational Motion (cont.)
- Module 31: Solve for the Motion of a Rigid Body Undergoing 3D Rotational Motion (cont.)
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Readings
- Pdf Version of Module 27: Develop Euler Equations for 3D Motion Lecture
- Pdf Version of Module 28: Develop Euler Equations for 3D Motion (cont.) Lecture
- Pdf Version of Module 29: Solve for the Motion of a Rigid Body Undergoing 3D Rotational Motion Lecture
- Pdf Version of Module 30: Solve for the Motion of a Rigid Body Undergoing 3D Rotational Motion Lecture
- Pdf Version of Module 31: Solve for the Motion of a Rigid Body Undergoing 3D Rotational Motion Lecture
- Worksheet Solutions: Solve for the Motion of a Rigid Body Undergoing 3D Rotational Motion
Quiz
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2
Readings
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1
Assignment
1
Assignment
- Motion Equations Governing 3D Rotational Motion of a Rigid Body (Euler Equations)
2
Readings
- Practice Problems
- Solution of Quiz 5
3D Impulse-Momentum Principles; 3D Work-Energy Principles
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4
Videos
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6
Readings
4
Videos
- Module 32: Develop and Apply the Principle of Impulse-Momentum to Rigid Bodies Undergoing Motion
- Module 33: Develop the Principle of Work-Energy for Bodies in 3D Rigid Body Motion
- Module 34: Apply the Principle of Work-Energy for Bodies in 3D Rigid Body Motion
- Module 35: Course Conclusion
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Readings
- Pdf Version of Module 32: Develop and Apply the Principle of Impulse-Momentum to Rigid Bodies Undergoing Motion Lecture
- Pdf Version of Module 33: Develop the Principle of Work-Energy for Bodies in 3D Rigid Body Motion Lecture
- Pdf Version of Module 34: Apply the Principle of Work-Energy for Bodies in 3D Rigid Body Motion Lecture
- Worksheet Solutions: Apply the Principle of Work-Energy for Bodies in 3D Rigid Body Motion
- Pdf Version of Module 35: Course Conclusion Lecture
- Where to go from here?
Quiz
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2
Readings
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1
Assignment
1
Assignment
- 3D Impulse-Momentum Principles; 3D Work-Energy Principles
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Readings
- Practice Problems
- Solution of Quiz 6
Auto Summary
Explore the advanced dynamics of 3D motion in engineering systems with Dr. Wayne Whiteman. This course delves into kinematics and kinetics, essential for understanding the forces and motions of rigid bodies. Ideal for those with a background in basic engineering mechanics, it extends concepts from 2D motion studies. Spanning 1080 minutes, this Coursera offering provides flexible subscription options and is designed for learners seeking a deep understanding of engineering dynamics.
Instructor
Dr. Wayne Whiteman, PE