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.
Offered By
Advanced Engineering Systems in Motion: Dynamics of Three Dimensional (3D) Motion
Georgia Institute of TechnologyAbout this Course
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Learner Career Outcomes
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Shareable Certificate
Earn a Certificate upon completion
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Flexible deadlines
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Approx. 16 hours to complete
English
Subtitles: English
Learner Career Outcomes
50%
got a tangible career benefit from this course
Shareable Certificate
Earn a Certificate upon completion
100% online
Start instantly and learn at your own schedule.
Flexible deadlines
Reset deadlines in accordance to your schedule.
Approx. 16 hours to complete
English
Subtitles: English
Offered by
Georgia Institute of Technology
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.
Syllabus - What you will learn from this course
3 hours to complete
Course Introduction; Angular Velocity; Angular Acceleration
In 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.
3 hours to complete
6 videos (Total 53 min), 13 readings, 1 quiz
6 videos
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
13 readings
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
1 practice exercise
Course Introduction; Angular Velocity; Angular Acceleration6m
3 hours to complete
Velocities in Moving Reference Frames; Accelerations in Moving Reference Frames; The Earth as a Moving Frame
In this section students will learn about velocities in moving reference frames, accelerations in moving reference frames, and the Earth as a moving frame.
3 hours to complete
6 videos (Total 64 min), 11 readings, 1 quiz
6 videos
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
11 readings
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
1 practice exercise
Velocities in Moving Reference Frames; Accelerations in Moving Reference Frames; The Earth as a Moving Frame6m
3 hours to complete
Eulerian Angles; Eulerian Angles Rotation Matrices; Angular Momentum in 3D; Inertial Properties of 3D Bodies
In this section students will learn about Eulerian Angles rotation matrices, angular momentum in 3D, and intertial properties of 3D bodies.
3 hours to complete
8 videos (Total 70 min), 10 readings, 1 quiz
8 videos
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
10 readings
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
1 practice exercise
Eulerian Angles; Eulerian Angles Rotation Matrices; Angular Momentum in 3D; Inertial Properties of 3D Bodies6m
2 hours to complete
Translational and Rotational Transformations of Inertial Properties; Principal Axes and Principal Moments of Inertia
In this section students will learn about translational and rotational transformations of inertial properties, and principal axes and principal moments of inertia.
2 hours to complete
6 videos (Total 47 min), 9 readings, 1 quiz
6 videos
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
9 readings
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
1 practice exercise
Translational and Rotational Transformations of Inertial Properties; Principal Axes and Principal Moments of Inertia.6m
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