What is the derivative of the moment of inertia?

AI Thread Summary
The moment of inertia (I) is a property that describes the mass distribution of a rigid body and remains constant unless the body deforms or its mass changes. The derivative of the moment of inertia depends on the variable with respect to which it is being differentiated. Since I is sensitive to the coordinate system and orientation, its representation can vary significantly. Understanding these nuances is crucial for accurate calculations in physics and engineering. The discussion highlights the importance of context when considering the derivative of the moment of inertia.
benoconnell22
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This just struck me and I was curious.
 
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Derivative with respect to what?

I is a property of the mass distribution of a rigid body. It doesn't change with time unless the body deforms or mass changes. However, because it is a property of the distribution of mass, its representation is very sensitive to coordinate system and orientation.
 
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