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- https://phys.libretexts.org/Bookshelves/Classical_Mechanics/Classical_Mechanics_(Tatum)/02%3A_Moments_of_Inertia/2.12%3A_Rotation_of_AxesLet us suppose that the axes are in the plane of the lamina and that O is the centre of mass of the lamina. A,B and H are the moments of inertia with respect to the axes Oxy, and \(A_{1...Let us suppose that the axes are in the plane of the lamina and that O is the centre of mass of the lamina. A,B and H are the moments of inertia with respect to the axes Oxy, and A1,B1 and H1 are the moments of inertia with respect to Ox1y1.
- https://phys.libretexts.org/Bookshelves/University_Physics/Mechanics_and_Relativity_(Idema)/07%3A_General_Rotational_Motion/7.03%3A_Rotations_About_an_Arbitrary_AxisIn Chapter 5, we studied the rotation of rigid bodies about an axis of symmetry. For these cases, we have L=Iω, where I is the moment of inertia with respect to t...In Chapter 5, we studied the rotation of rigid bodies about an axis of symmetry. For these cases, we have L=Iω, where I is the moment of inertia with respect to the rotation axis. In this section, we’ll derive the more general form, in which the number I is replaced by a 2-tensor, i.e., a map from a vector space (here R3) into itself, represented by a 3×3 matrix.
- https://phys.libretexts.org/Bookshelves/Classical_Mechanics/Variational_Principles_in_Classical_Mechanics_(Cline)/13%3A_Rigid-body_Rotation/13.06%3A_Principal_Axis_SystemThe inertia tensor is a real symmetric matrix. A property of real symmetric matrices is that there exists an orientation of the coordinate frame, with its origin at the chosen body-fixed point O , su...The inertia tensor is a real symmetric matrix. A property of real symmetric matrices is that there exists an orientation of the coordinate frame, with its origin at the chosen body-fixed point O , such that the inertia tensor is diagonal. The coordinate system for which the inertia tensor is diagonal is called the Principal axis system which has three perpendicular principal axes.
