If the body is rotating around some axis, u need to use an x-y-z rotating system or u use a not-rotating system of coordenates anyway? Because if u use a not-rotating system, the body its gonna move and the distances to the axes are gonna change so the tensor must change...
I apologize that I don't completely understand your question, but I think you're asking about whether the moment of inertia tensor would change as seen in a non-rotating frame. Yes, you are correct that the tensor would evolve with time in a frame that was not rotating with the body. That's the advantage of using the body frame (i.e., the frame that rotates with the body) -- in that frame, the tensor does NOT change with time. But that frame is non-inertial, so you have to include the non-inertial effects when you use that frame.
Very helpful, thanks so much!
If the body is rotating around some axis, u need to use an x-y-z rotating system or u use a not-rotating system of coordenates anyway? Because if u use a not-rotating system, the body its gonna move and the distances to the axes are gonna change so the tensor must change...
I apologize that I don't completely understand your question, but I think you're asking about whether the moment of inertia tensor would change as seen in a non-rotating frame.
Yes, you are correct that the tensor would evolve with time in a frame that was not rotating with the body. That's the advantage of using the body frame (i.e., the frame that rotates with the body) -- in that frame, the tensor does NOT change with time. But that frame is non-inertial, so you have to include the non-inertial effects when you use that frame.