Master the 3D motion dynamics of rigid bodies with this comprehensive course from Georgia Tech, designed for in-depth understanding and practical applications
Master the 3D motion dynamics of rigid bodies with this comprehensive course from Georgia Tech, designed for in-depth understanding and practical applications
This advanced course, offered by Georgia Tech, focuses on the dynamics of rigid bodies in three-dimensional (3D) motion, essential for engineering systems and structures. It covers both kinematics and kinetics of motion, including advanced topics such as angular velocity, accelerations in moving reference frames, Eulerian angles, and 3D work-energy principles. The course builds upon fundamental engineering mechanics concepts and requires prior knowledge of 2D motion dynamics. Through a series of modules, students will develop the skills to analyze complex 3D motion problems, understand the Earth as a moving frame, and apply principles of angular momentum and energy to 3D systems.
4.8
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English
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What you'll learn
Derive and apply the "derivative formula" for 3D motion analysis
Analyze angular velocity and acceleration in 3D coordinate systems
Understand and utilize moving reference frames for velocity and acceleration calculations
Apply Eulerian angles and rotation matrices to describe 3D rotations
Calculate and transform inertial properties of 3D bodies
Develop and solve Euler's equations for 3D rotational motion
Skills you'll gain
This course includes:
5.4 Hours PreRecorded video
6 quizzes
Access on Mobile, Tablet, Desktop
FullTime access
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There are 6 modules in this course
This course provides an advanced study of rigid body dynamics in three-dimensional (3D) motion, crucial for understanding complex engineering systems and structures. The curriculum is divided into six comprehensive modules, each focusing on specific aspects of 3D dynamics. Students begin by mastering the concepts of angular velocity and acceleration in 3D, then progress to analyzing velocities and accelerations in moving reference frames. The course covers advanced topics such as Eulerian angles, rotational matrices, and the analysis of angular momentum in 3D. Students will learn to determine inertial properties of 3D bodies and understand their transformations. The latter part of the course focuses on developing and applying Euler's equations for 3D rotational motion, as well as 3D impulse-momentum and work-energy principles. Throughout the course, emphasis is placed on solving real-world engineering problems and developing analytical skills applicable to complex motion systems.
Course Introduction; Angular Velocity; Angular Acceleration
Module 1 · 3 Hours to complete
Velocities in Moving Reference Frames; Accelerations in Moving Reference Frames; The Earth as a Moving Frame
Module 2 · 3 Hours to complete
Eulerian Angles; Eulerian Angles Rotation Matrices; Angular Momentum in 3D; Inertial Properties of 3D Bodies
Module 3 · 3 Hours to complete
Translational and Rotational Transformations of Inertial Properties; Principal Axes and Principal Moments of Inertia
Module 4 · 2 Hours to complete
Motion Equations Governing 3D Rotational Motion of a Rigid Body (Euler Equations)
Module 5 · 2 Hours to complete
3D Impulse-Momentum Principles; 3D Work-Energy Principles
Module 6 · 2 Hours to complete
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Instructor
Experienced Educator and Leader in Engineering Education
Wayne Whiteman is the Director of the Office of Student Services and a Senior Academic Professional at the Woodruff School of Mechanical Engineering at Georgia Tech. He combines administrative leadership with teaching expertise in engineering mechanics, dynamics and vibration, and engineering design. Dr. Whiteman leads the Woodruff School Teaching Fellows Program, focusing on enhancing teaching skills and learning environments for faculty.
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4.8 course rating
307 ratings
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