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

Go to Course: https://www.coursera.org/learn/motion-and-kinetics

Introduction

### Course Review: Advanced Engineering Systems in Motion: Dynamics of Three Dimensional (3D) Motion If you are looking to deepen your understanding of the dynamics of engineering systems and the principles governing bodies in motion, then the Coursera course **"Advanced Engineering Systems in Motion: Dynamics of Three Dimensional (3D) Motion"** is an excellent choice. This course provides an advanced study of the kinematics and kinetics involved in the behavior of rigid bodies in a three-dimensional space, tailored for students and professionals in engineering fields. #### Overview This comprehensive course delves into key concepts essential for understanding the intricacies of 3D motion. The syllabus is structured to provide a thorough grounding in both the geometric and force-related aspects of motion. Students will explore topics such as: - Kinematics: Understanding the relationships between position, velocity, and acceleration as functions of time. - Kinetics: Investigating the forces acting on bodies and how these forces influence their dynamics. The course is suitable for those with a foundational background in mechanics, as it builds on existing knowledge to cultivate a more profound understanding of real-world engineering applications. #### Course Breakdown **1. Angular Velocity and Acceleration** - This introductory section focuses on deriving the derivative formula and defining angular velocity for 3D motion. Students will also learn to determine angular acceleration for various bodies, an essential concept for motion analysis. **2. Moving Reference Frames** - Building on the principles learned previously, the course expands into the complexities of velocities and accelerations in moving reference frames, including applying this knowledge to understand the Earth as a moving frame. **3. Eulerian Angles and Angular Momentum** - This segment introduces rotation matrices, angular momentum in 3D, and inertial properties. Understanding these concepts is crucial for advanced motion analysis in complex systems. **4. Transformations of Inertial Properties** - The focus here is on translational and rotational transformations along with principal axes and moments of inertia, vital for analyzing structural integrity and stability in engineering designs. **5. Motion Equations and Euler Equations** - Students will develop and apply Euler equations for 3D motion, a cornerstone concept in understanding rigid body dynamics. **6. Impulse-Momentum and Work-Energy Principles** - This final section covers the principles of impulse-momentum and work-energy applied in three dimensions, providing students with the tools to analyze and solve dynamic problems effectively. #### Recommended Background To make the most of this course, it is recommended that participants have a solid grasp of basic mechanics principles, as well as prior knowledge associated with static and dynamic systems. Familiarity with mathematical concepts, particularly calculus and linear algebra, will greatly enhance the learning experience. #### Why You Should Enroll The **"Advanced Engineering Systems in Motion"** course stands out due to its rigorous academic content delivered through engaging multimedia lectures and hands-on assignments. It bridges theoretical knowledge with practical applications, making it ideal for aspiring engineers, researchers, and professionals looking to refine their skills in dynamic systems. The combination of thorough instructions, expert guidance, and real-world applications makes this course highly recommended for anyone keen on pursuing a career in mechanical engineering, aerospace, robotics, or related fields. Enrolling in this course can potentially open up new career opportunities or provide the skills necessary for advancing in your current role. In summary, if you are committed to mastering the dynamics of 3D motion and seek to apply these principles within your engineering practice, this Coursera course is an invaluable resource. Embrace the challenge and refine your understanding of advanced engineering systems in motion.

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.

In this section students will learn about velocities in moving reference frames, accelerations in moving reference frames, and the Earth as a moving frame.

In this section students will learn about Eulerian Angles rotation matrices, angular momentum in 3D, and intertial properties of 3D bodies.

In this section students will learn about translational and rotational transformations of inertial properties, and principal axes and principal moments of inertia.

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.

In this section students will learn to develop and apply the principle of impulse-momentum and about 3D work-energy principles.