About this Course

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Approx. 18 hours to complete
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. 18 hours to complete
English

Offered by

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Georgia Institute of Technology

Syllabus - What you will learn from this course

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Week
1

Week 1

4 hours to complete

Course Introduction; Angular Velocity; Angular Acceleration

4 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 Acceleration30m
Week
2

Week 2

3 hours to complete

Velocities in Moving Reference Frames; Accelerations in Moving Reference Frames; 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 Frame30m
Week
3

Week 3

3 hours to complete

Eulerian Angles; Eulerian Angles Rotation Matrices; Angular Momentum in 3D; Inertial 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 Bodies30m
Week
4

Week 4

3 hours to complete

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

3 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.30m

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