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Does this mean H = Iw is wrong in 3-D ?

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- Thread starter beserk
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Does this mean H = Iw is wrong in 3-D ?

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Generally, in 3D, the angular velocity is a vector and the moment of inertia is a tensor (matrix).

- #3

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The angular momentum vector can be aligned with the angular velocity vector. It's just not necessarily the case.beserk said:

Does this mean H = Iw is wrong in 3-D ?

As Tide said, the moment of inertia is a matrix and the angular velocity is a vector. If the angular momentum vector and the angular velocity vector are aligned, all the elements of the matrix

Generally, if one were planning something, one would probably plan to have the geometric axes align with the object's principal axes (axes based on mass distribution) and would plan to keep the angular momentum vector and angular velocity vector aligned. In practice, the outside environment will cause the two vectors to become misaligned with each other (nutation).

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