- #1
kwnmanu94
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How exactly did the terms in parenthesis of the equation (14) become (15)?
I don't even know what the Transport Theorem is about?
Question on the 3D Kinematics equation.
- Thread starter kwnmanu94
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SUMMARY
The discussion centers on the clarification of the Transport Theorem as it relates to the transformation of terms in the 3D Kinematics equation. The Transport Theorem is defined in the context of coordinate systems that rotate relative to each other, specifically in the MIT course material on Engineering Dynamics. The relevant textbook can be found at the provided MIT OpenCourseWare link, which includes diagrams and explanations crucial for understanding the derivation of the equations discussed.
PREREQUISITES- Understanding of 3D Kinematics equations
- Familiarity with the Transport Theorem
- Knowledge of angular velocity concepts
- Ability to interpret engineering dynamics diagrams
- Study the Transport Theorem in detail, focusing on its application in rotating coordinate systems
- Review the MIT OpenCourseWare Engineering Dynamics course materials, particularly pages 4 and 5
- Explore the derivation of 3D Kinematics equations using angular velocity
- Practice solving problems involving coordinate transformations in dynamics
Students and professionals in engineering, particularly those studying dynamics and kinematics, as well as educators seeking to enhance their understanding of the Transport Theorem and its applications in 3D motion analysis.
How exactly did the terms in parenthesis of the equation (14) become (15)?
I don't even know what the Transport Theorem is about?
- #2
Filip Larsen
Gold Member
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What textbook is this? Since the text directly references Transport Theorem I would expect it to be described earlier. Perhaps look in the index or try compare with transport theorem where you can see it relates the coordinate-wise time derivative of a point coordinated by two different coordinate system that rotate relative to each other.
- #3
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https://ocw.mit.edu/courses/2-003sc...c8efae261114febe1f_MIT2_003SCF11Kinematic.pdf
Your diagram is on page 5.
The transport theorem is on page 4,
whose section is entitled
"2.2 Taking Derivatives using Angular Velocity and the Transport Theorem"
Your diagram is on page 5.
The transport theorem is on page 4,
whose section is entitled
"2.2 Taking Derivatives using Angular Velocity and the Transport Theorem"
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