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Dr. Wayne Whiteman, PE
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:
Read more
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:
Read more
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.
Register for this course and see more details by visiting:
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What's inside
Syllabus
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.
Read more
Syllabus
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.
Read more
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.
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.
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.
Motion Equations Governing 3D Rotational Motion of a Rigid Body (Euler Equations)
In 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.
3D Impulse-Momentum Principles; 3D Work-Energy Principles
In this section students will learn to develop and apply the principle of impulse-momentum and about 3D work-energy principles.
Good to know
Good to know
Know what's good ,
what to watch for , and
possible dealbreakers
Assumes learners have already mastered basic engineering mechanics concepts
Requires learners to take Engineering Systems in Motion: Dynamics of Particles and Bodies in 2D Motion first
Covers kinematics and kinetics of motion in 3D
Provides a thorough understanding of rigid body dynamics
In-depth exploration of angular velocity, angular acceleration, and Euler's Equations
Taught by Dr. Wayne Whiteman, an experienced engineering professor
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Reviews summary
Highly praised engineering dynamics course
Learners say this Advanced Engineering Systems in Motion course is phenomenal and paced well, but respondents wish there was more advanced content pertaining to energy methods
Students particularly like that videos are available at any time, and the lectures are easy to follow and understand.
"Great way of explaining."
"It is a basic course for understanding dynamics."
"He explains everything extremely well, and the class videos are always available so you can actually review the material at any time."
Learners appreciate that this course is paced well, starts from first principles, and uses non-ambiguous notations.
"Very good course from one of the best instructors"
"Dr. Whiteman is exceptional at explaining the concepts clearly and also maintains non-ambiguous notations."
"The explanations are clear, the topics are well structured, and the videos are dense and contain only relevant information."
Learners are highly impressed by Dr. Whiteman and his clear explanations.
"I am very much happy to have cource. It will boost my knowledge."
"Thank you for the great lectures and information."
"I just hoped there was more advanced information pertaining to the energy methods."
Learners report that questions posed in the forum are seldom or infrequently answered, which can be frustrating.
"Really good lectures. Loved taking it."
"My only complaint is that the question on the forum are never (or it take to much time) answered."
Some learners feel there could be more advanced information in the course particularly pertaining to energy methods.
"I just hoped there was more advanced information pertaining to the energy methods."
"Excellent lectures by Dr. Whiteman! He is exceptional at explaining the concepts clearly and also maintains non-ambiguous notations."
Activities
Be better prepared
before
your course. Deepen your understanding
during
and
after
it. Supplement your coursework and achieve mastery of the topics covered
in Advanced Engineering Systems in Motion: Dynamics of Three Dimensional (3D) Motion with these
activities:
Complete practice problems from textbook
Show steps
Practice solving numerical problems related to the concepts covered in the course to solidify understanding.
Show steps
-
Identify relevant practice problems in the textbook.
-
Read the problem and understand the concepts involved.
-
Apply the relevant formulas and principles to solve the problem.
-
Check your solution against the provided answers or solutions manual.
Solve additional practice problems from online resources
Show steps
Expand your practice and reinforce your understanding by solving additional problems from online resources.
Browse courses on
Euler Equations
Show steps
-
Identify online platforms or resources that provide practice problems for this course.
-
Select problems that align with the topics covered in the course.
-
Solve the problems and check your answers against provided solutions.
Create a visual representation of a challenging concept
Show steps
Foster deeper understanding by creating a visual representation, such as a diagram, animation, or infographic, that illustrates a challenging concept.
Show steps
-
Identify a concept that you find particularly challenging.
-
Brainstorm ideas for how to visually represent the concept.
-
Create your visual representation using appropriate tools or software.
-
Present your visual representation to others and explain the concept it illustrates.
Show all three activities
Complete practice problems from textbook
Show steps
Practice solving numerical problems related to the concepts covered in the course to solidify understanding.
Show steps
Show steps
Show steps
- Identify relevant practice problems in the textbook.
- Read the problem and understand the concepts involved.
- Apply the relevant formulas and principles to solve the problem.
- Check your solution against the provided answers or solutions manual.
Solve additional practice problems from online resources
Show steps
Expand your practice and reinforce your understanding by solving additional problems from online resources.
Browse courses on
Euler Equations
Show steps
Show steps
Show steps
- Identify online platforms or resources that provide practice problems for this course.
- Select problems that align with the topics covered in the course.
- Solve the problems and check your answers against provided solutions.
Create a visual representation of a challenging concept
Show steps
Foster deeper understanding by creating a visual representation, such as a diagram, animation, or infographic, that illustrates a challenging concept.
Show steps
Show steps
Show steps
- Identify a concept that you find particularly challenging.
- Brainstorm ideas for how to visually represent the concept.
- Create your visual representation using appropriate tools or software.
- Present your visual representation to others and explain the concept it illustrates.
Show all three activities
Career center
Learners who complete Advanced Engineering Systems in Motion: Dynamics of Three Dimensional (3D) Motion will develop knowledge and skills
that may be useful to these careers:
Aerospace Engineer
Aerospace Engineer
Aerospace Engineers design, build, and test aircraft, spacecraft, and related systems. The course, Advanced Engineering Systems in Motion: Dynamics of Three Dimensional (3D) Motion, is a good match for future Aerospace Engineers, as the study of 3D motion and dynamics is a cornerstone of Aerospace Engineering. Students learn how to describe, analyze, and predict the motion of 3D bodies, a skillset that is in high demand in the Aerospace industry. The course also covers the fundamental principles of kinematics and kinetics, which are essential for understanding the behavior of aircraft and spacecraft and how to control their motion effectively.
Mechanical Engineer
Mechanical Engineer
Mechanical Engineers design, build, and test machines and mechanical systems. This course is a strong fit for Mechanical Engineers because it provides a solid foundation in the dynamics of 3D motion and kinetics, which are essential for designing and analyzing mechanical systems. Students will learn how to determine the forces and moments acting on a 3D body and how these forces and moments affect the body's motion. This knowledge is essential for designing mechanical systems that are safe, efficient, and reliable.
Robotics Engineer
Robotics Engineer
Robotics Engineers design, build, and test robots. This course is a good fit for Robotics Engineers because it provides a foundation in the dynamics and control of 3D motion, which is essential for designing and controlling robots that can move and interact with their environment effectively. Students will learn how to model the dynamics of a 3D body and how to control its motion using feedback control systems.
Automotive Engineer
Automotive Engineer
Automotive Engineers design, build, and test automobiles. The course, Advanced Engineering Systems in Motion: Dynamics of Three Dimensional (3D) Motion, may be useful for Automotive Engineers, as it provides a foundation in the dynamics of 3D motion. Students will learn how to describe, analyze, and predict the motion of 3D bodies, a skillset that can be applied to the design and analysis of automobiles. The course also covers the fundamental principles of kinematics and kinetics, which are essential for understanding the behavior of automobiles and how to control their motion effectively.
Biomechanical Engineer
Biomechanical Engineer
Biomechanical Engineers apply the principles of engineering to the human body. This course, Advanced Engineering Systems in Motion: Dynamics of Three Dimensional (3D) Motion, provides a foundation in the dynamics of 3D motion, which is essential for understanding the mechanics of the human body and how it moves. Students will learn how to describe, analyze, and predict the motion of 3D bodies and how to apply these principles to the study of human movement. This course is a good fit for future Biomechanical Engineers as it will provide them with the skills and knowledge necessary to analyze and design medical devices, prosthetics, and other assistive technologies.
Civil Engineer
Civil Engineer
Civil Engineers design, build, and maintain infrastructure, such as roads, bridges, and buildings. This course, Advanced Engineering Systems in Motion: Dynamics of Three Dimensional (3D) Motion, may be useful for Civil Engineers, as it provides a foundation in the dynamics of 3D motion. Students will learn how to describe, analyze, and predict the motion of 3D bodies, a skillset that can be applied to the design and analysis of civil engineering structures. The course also covers the fundamental principles of kinematics and kinetics, which are essential for understanding the behavior of structures and how to design them to withstand dynamic loads.
Electrical Engineer
Electrical Engineer
Electrical Engineers design, build, and test electrical systems. This course may be useful to Electrical Engineers who are interested in specializing in the design and control of dynamic systems. The course provides a foundation in the dynamics of 3D motion and how to control the motion of 3D bodies using feedback control systems. This knowledge is essential for designing and controlling a wide range of electrical systems, such as robots, drones, and self-driving cars.
Materials Scientist
Materials Scientist
Materials Scientists research and develop new materials and improve existing materials. This course, Advanced Engineering Systems in Motion: Dynamics of Three Dimensional (3D) Motion, may be useful for Materials Scientists who want to specialize in the mechanical properties of materials. The course provides a foundation in the dynamics of 3D motion and how to analyze the forces and moments acting on a 3D body. This knowledge is essential for designing materials that are strong, lightweight, and durable.
Mathematician
Mathematician
Mathematicians study the properties of numbers, shapes, and other mathematical objects. This course, Advanced Engineering Systems in Motion: Dynamics of Three Dimensional (3D) Motion, may be useful for Mathematicians who want to specialize in applied mathematics or mathematical physics. The course provides a foundation in the dynamics of 3D motion and how to apply mathematical techniques to solve problems in engineering and physics.
Physicist
Physicist
Physicists study the laws of nature and the behavior of matter and energy. This course, Advanced Engineering Systems in Motion: Dynamics of Three Dimensional (3D) Motion, may be useful for Physicists who want to specialize in classical mechanics or applied physics. The course provides a foundation in the dynamics of 3D motion and how to apply physical principles to solve problems in engineering and physics.
Computer Scientist
Computer Scientist
Computer Scientists design, develop, and test computer systems. This course, Advanced Engineering Systems in Motion: Dynamics of Three Dimensional (3D) Motion, may be useful for Computer Scientists who want to specialize in robotics, computer graphics, or other fields where a strong understanding of dynamics is required. The course provides a foundation in the dynamics of 3D motion and how to apply mathematical techniques to solve problems in computer science.
Data Scientist
Data Scientist
Data Scientists collect, analyze, and interpret data to solve problems. This course, Advanced Engineering Systems in Motion: Dynamics of Three Dimensional (3D) Motion, may be useful for Data Scientists who want to specialize in analyzing data from dynamic systems. The course provides a foundation in the dynamics of 3D motion and how to apply mathematical techniques to analyze data from sensors and other sources.
Statistician
Statistician
Statisticians collect, analyze, and interpret data to draw conclusions about populations. This course, Advanced Engineering Systems in Motion: Dynamics of Three Dimensional (3D) Motion, may be useful for Statisticians who want to specialize in analyzing data from dynamic systems. The course provides a foundation in the dynamics of 3D motion and how to apply statistical techniques to analyze data from sensors and other sources.
Economist
Economist
Economists study the production, distribution, and consumption of goods and services. This course, Advanced Engineering Systems in Motion: Dynamics of Three Dimensional (3D) Motion, may be useful for Economists who want to specialize in econometrics or other fields where a strong understanding of dynamics is required. The course provides a foundation in the dynamics of 3D motion and how to apply mathematical techniques to solve problems in economics.
Operations Research Analyst
Operations Research Analyst
Operations Research Analysts use mathematical and analytical techniques to solve problems in business and industry. This course, Advanced Engineering Systems in Motion: Dynamics of Three Dimensional (3D) Motion, may be useful for Operations Research Analysts who want to specialize in logistics, supply chain management, or other fields where a strong understanding of dynamics is required. The course provides a foundation in the dynamics of 3D motion and how to apply mathematical techniques to solve problems in operations research.
For more career information including salaries, visit:
OpenCourser.com/course/7w1msd/advanced
Reading list
We've selected 48 books
that we think will supplement your
learning. Use these to
develop background knowledge, enrich your coursework, and gain a
deeper understanding of the topics covered in
Advanced Engineering Systems in Motion: Dynamics of Three Dimensional (3D) Motion.
Classic textbook on classical mechanics, and it valuable resource for students and practitioners alike.
This textbook provides a comprehensive overview of theoretical mechanics, including both classical and relativistic mechanics. It valuable resource for students who want to learn more about the most advanced principles of mechanics.
Classic textbook on mechanics, and it valuable resource for students and practitioners alike.
This textbook provides a comprehensive overview of the principles of dynamics, including kinematics, kinetics, and energy methods. It valuable reference for students who want to approfondir their understanding of the fundamental concepts of dynamics.
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This textbook covers the topics of classical mechanics, such as kinematics, dynamics, and gravitation. It valuable resource for students who want to learn more about the fundamental principles of mechanics.
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Provides a comprehensive overview of advanced dynamics, and it valuable resource for students and practitioners alike.
Provides a comprehensive overview of applied mechanics, and it valuable resource for students and practitioners alike.
Provides a comprehensive overview of engineering mechanics, and it valuable resource for students and practitioners alike.
Save
Provides a comprehensive overview of theoretical mechanics, and it valuable resource for students and practitioners alike.
Provides a comprehensive overview of mechanics, and it valuable resource for students and practitioners alike.
Provides a comprehensive overview of mechanics, oscillations, and waves, and it valuable resource for students and practitioners alike.
Provides a comprehensive overview of mechanics, and it valuable resource for students and practitioners alike.
Save
This textbook provides a comprehensive overview of classical mechanics, including Newtonian mechanics, Lagrangian mechanics, and Hamiltonian mechanics. It valuable resource for students who want to gain a deep understanding of the fundamental principles of dynamics.
Save
This textbook provides a comprehensive overview of mechanics, including both classical and relativistic mechanics. It valuable resource for students who want to learn more about the fundamental principles of mechanics.
This textbook provides a comprehensive overview of classical mechanics, including Newtonian mechanics, Lagrangian mechanics, and Hamiltonian mechanics. It valuable resource for students who want to gain a deep understanding of the fundamental principles of dynamics.
Save
This textbook provides a comprehensive overview of classical mechanics, including Newtonian mechanics, Lagrangian mechanics, and Hamiltonian mechanics. It valuable resource for students who want to gain a deep understanding of the fundamental principles of dynamics.
Save
Provides a clear and concise introduction to classical mechanics, covering both particle and rigid-body dynamics. It popular textbook that is used by many universities and is also a valuable reference for professionals.
This textbook covers the topics of engineering mechanics, with a focus on statics. It valuable resource for students who want to learn more about the principles of mechanics as applied to engineering systems.
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This textbook covers the topics of dynamics, with a focus on the motion of particles and rigid bodies. It valuable resource for students who want to learn more about the principles of dynamics.
Engineering Mechanics: Dynamics focuses on the application of mechanics principles to engineering problems. It valuable resource for students who are interested in engineering and want to develop their problem-solving skills.
This textbook provides a comprehensive overview of the principles of dynamics, including kinematics, kinetics, and energy methods. It valuable reference for students who want to approfondir their understanding of the fundamental concepts of dynamics.
This textbook provides a comprehensive overview of the principles of dynamics, including kinematics, kinetics, and energy methods. It valuable reference for students who want to approfondir their understanding of the fundamental concepts of dynamics.
Dynamics of Rigid Bodies provides an in-depth treatment of the dynamics of rigid bodies. It is suitable for advanced undergraduate and graduate students who are interested in a specialized study of this topic.
This textbook provides a comprehensive overview of advanced topics in dynamics, including Lagrange's equations, Hamilton's principle, and the theory of vibrations. It valuable resource for students who want to gain a deeper understanding of the dynamics of complex systems.
This textbook covers the topics of theory of machines, with a focus on the design and analysis of machines. It valuable resource for students who want to learn more about the principles of theory of machines.
This textbook covers the topics of kinematics and dynamics of machinery, with a focus on the motion of machines. It valuable resource for students who want to learn more about the principles of kinematics and dynamics as applied to machines.
Provides a comprehensive treatment of the mechanics of materials, covering both the theoretical and practical aspects of the subject. It classic textbook that has been used by generations of students and is still widely used today.
Provides a comprehensive treatment of the theory of elasticity, covering both the theoretical and practical aspects of the subject. It classic textbook that has been used by generations of students and is still widely used today.
This textbook provides a comprehensive overview of nonlinear dynamics and chaos. It valuable resource for students who want to gain a deeper understanding of the dynamics of complex systems.
This textbook provides a comprehensive overview of elasticity. It valuable resource for students who want to gain a deeper understanding of the mechanics of elastic materials.
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This textbook provides a comprehensive overview of solid mechanics. It valuable resource for students who want to gain a deeper understanding of the mechanics of solids.
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Provides a comprehensive treatment of advanced engineering dynamics, covering both particle and rigid-body dynamics. It popular textbook that is used by many universities.
Provides a comprehensive treatment of engineering mechanics, covering both statics and dynamics. It popular textbook that is used by many universities and is also a valuable reference for professionals.
This textbook covers the topics of mechanical vibrations, with a focus on the analysis and design of vibrating systems. It valuable resource for students who want to learn more about the principles of mechanical vibrations.
This textbook provides a comprehensive overview of fluid dynamics. It valuable resource for students who want to gain a deeper understanding of the dynamics of fluids.
Theory of Machines and Mechanisms covers the principles and applications of machines and mechanisms. It valuable resource for students who are interested in mechanical engineering and want to understand the design and operation of machines.
This textbook covers the topics of control systems engineering, with a focus on the analysis and design of control systems. It valuable resource for students who want to learn more about the principles of control systems engineering.
This textbook covers the topics of robotics, with a focus on the design and analysis of robots. It valuable resource for students who want to learn more about the principles of robotics.
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This textbook covers the topics of artificial intelligence, with a focus on the design and analysis of artificial intelligence systems. It valuable resource for students who want to learn more about the principles of artificial intelligence.
Advanced Engineering Dynamics provides a comprehensive treatment of the dynamics of particles and rigid bodies. It is suitable for advanced undergraduate and graduate students who are seeking a deeper understanding of the subject.
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This textbook covers the topics of deep learning, with a focus on the design and analysis of deep learning systems. It valuable resource for students who want to learn more about the principles of deep learning.
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This textbook covers the topics of machine learning, with a focus on the design and analysis of machine learning systems. It valuable resource for students who want to learn more about the principles of machine learning.
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Dynamics: Theory and Applications presents the fundamental principles of dynamics in a clear and concise manner. It valuable resource for students who are interested in a comprehensive overview of the subject.
Classical Dynamics of Particles and Systems provides a detailed treatment of the dynamics of particles and systems. It is suitable for advanced undergraduate and graduate students who are seeking a deeper understanding of the subject.
Nonlinear Dynamics and Chaos provides an introduction to the fundamental principles of nonlinear dynamics and chaos. It valuable resource for students who are interested in exploring this fascinating and complex field.
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An Introduction to Mechanics provides a clear and concise overview of the fundamental principles of mechanics. It is suitable for undergraduate students who are seeking a basic understanding of the subject.
Mechanics of Materials provides a comprehensive treatment of the mechanical properties of materials. It valuable resource for students who are interested in understanding the behavior of materials under various loading conditions.
Fluid Mechanics provides a comprehensive overview of the fundamental principles of fluid mechanics. It valuable resource for students who are interested in understanding the behavior of fluids.
For more information about how these books relate to this course, visit:
OpenCourser.com/course/7w1msd/advanced
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Good to know
Assumes learners have already mastered basic engineering mechanics concepts
Requires learners to take Engineering Systems in Motion: Dynamics of Particles and Bodies in 2D Motion first
Covers kinematics and kinetics of motion in 3D
Provides a thorough understanding of rigid body dynamics
In-depth exploration of angular velocity, angular acceleration, and Euler's Equations
Taught by Dr. Wayne Whiteman, an experienced engineering professor
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