Understanding 3D Rigid Body Dynamics Equations: R=R'Ω Explained

AI Thread Summary
The equation R=R'Ω relates to the dynamics of rigid body motion, where R represents a position vector and Ω denotes angular velocity. The discussion highlights the ambiguity of the equation without proper context, as equations of motion can vary significantly across different coordinate systems. Users are encouraged to refer to course materials or professor outlines for clarification on the specific application of this equation. The conversation emphasizes the importance of understanding the underlying principles of rigid body dynamics. Proper context is crucial for interpreting such equations accurately.
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Homework Statement



I just saw the equation R=R'Ω (where ' is dot, or the derivative) in my notes (unorganized obviously), and can't remember what it stands for (rotation matrices?).
Can somebody please tell me what this equations means thanks. I know R is some position vector and Ω is the angular velocity, but I don't get what this equation is saying. Thanks.

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The Attempt at a Solution

 
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That seems a little ambiguous without context. Equations of motion are different depending on different coordinate systems used. R=\dot{R}Ω doesn't look familiar to me at all for any coordinate system. Perhaps take a look at one of my professor's course outline pages and see if you can identify what you are talking about possibly. This page from my old professor's website list the vector equations of motion in four different coordinate systems: http://www.csupomona.edu/~padashner/316/GCO/C.Outline-2.pdf

Hope that helps!
 
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