Explore

Advanced Engineering Systems in Motion: Dynamics of Three Dimensional (3D) Motion

Approx. 18 hours to complete

Save Course

Go to Course

Course Summary

Learn about the principles of motion and kinetics in this course. Discover the science behind the movement of objects and how they interact with each other in the physical world.

Key Learning Points

Understand the fundamental concepts of motion and kinetics
Learn how to apply these concepts to real-world scenarios
Gain insight into the physics of movement and motion

Learning Outcomes

Understand the principles of motion and kinetics
Apply these concepts to real-world scenarios
Gain insight into the physics of movement and motion

Prerequisites or good to have knowledge before taking this course

Basic understanding of physics
Familiarity with mathematical concepts

Course Difficulty Level

Intermediate

Course Format

Online
Self-paced
Video lectures

Similar Courses

Introduction to Mechanics
Classical Mechanics

Related Education Paths

Notable People in This Field

Neil deGrasse Tyson
Bill Nye

Related Books

Description

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.

Outline

Course Introduction; Angular Velocity; Angular Acceleration
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
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
Get More from Georgia Tech
Practice Problems
Solution of Quiz 1
Course Introduction; Angular Velocity; Angular Acceleration

Velocities in Moving Reference Frames; Accelerations in Moving Reference Frames; The Earth as a Moving Frame
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
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
Earn a Georgia Tech Badge/Certificate/CEUs
Practice Problems
Solution of Quiz 2
Velocities in Moving Reference Frames; Accelerations in Moving Reference Frames; The Earth as a Moving Frame

Eulerian Angles; Eulerian Angles Rotation Matrices; Angular Momentum in 3D; Inertial Properties of 3D Bodies
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
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
Practice Problems
Solution of Quiz 3
Eulerian Angles; Eulerian Angles Rotation Matrices; Angular Momentum in 3D; Inertial Properties of 3D Bodies

Translational and Rotational Transformations of Inertial Properties; Principal Axes and Principal Moments of Inertia
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
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
Practice Problems
Solution of Quiz 4
Translational and Rotational Transformations of Inertial Properties; Principal Axes and Principal Moments of Inertia.

Motion Equations Governing 3D Rotational Motion of a Rigid Body (Euler Equations)
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.)
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
Practice Problems
Solution of Quiz 5
Motion Equations Governing 3D Rotational Motion of a Rigid Body (Euler Equations)

3D Impulse-Momentum Principles; 3D Work-Energy Principles
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
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?
Practice Problems
Solution of Quiz 6
3D Impulse-Momentum Principles; 3D Work-Energy Principles

Summary of User Reviews

Motion and Kinetics is a highly rated course on Coursera that explores the principles of motion and kinetics. Users praise the course for its engaging content and thorough explanations.

Key Aspect Users Liked About This Course

Engaging content

Pros from User Reviews

Thorough explanations
Helpful exercises
Interactive quizzes
Clear presentation
Knowledgeable instructor

Cons from User Reviews

Some sections may be too advanced for beginners
Course material can be dense and challenging
Limited interaction with instructor and peers
No certification offered for free version
Not suitable for those seeking a quick overview

Recommended for you

Robotics: Aerial Robotics

How can we create agile micro aerial vehicles that are able to operate autonomously in cluttered indoor and outdoor environments? ) MATLAB will require the use of a 64-bit computer....

Save Course

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....

Save Course