If one also diagonalizes the rigid body's moment of inertia tensor ( with nine components, six of which are independent ), then one has a set of coordinates ( called the principal axes ) in which the moment of inertia tensor has only three components.
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Inertia Tensor is an SPA created less than four months ago, who mysteriously agrees with them about everything but really goes over the top with it . ( Diffs coming . ) They were easily gathered at Waterboarding through off-Wiki contacts such as e-mail.
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However, if "'I "'is not constant in the external reference frame ( i . e . the body is moving and its inertia tensor is not the identity ) then we cannot take the "'I "'outside the derivative.
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Where " I " is the moment of inertia tensor of the molecule, and [ \ omega _ 1, \ omega _ 2, \ omega _ 3 ] is the angular velocity pseudo-vector ( in a coordinate system aligned with the principal axes of the molecule ).
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If I is constant ( because the inertia tensor is the identity, because we work in the intrinsecal frame, or because the torque is driving the rotation around the same axis \ mathbf { \ hat { n } } so that \ mathrm { I } is not changing ) then we may write
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Unrelated, I have no issue with IP editors, I preffered to do so as an IP but eventually had to switch to user with all the RfCs to vote ( as annoyingly, IPs are banned there )-plenty of bay area comcast IPs before the creation of this Inertia Tensor account were me . talk ) 08 : 23, 11 January 2008 ( UTC)
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:Its moment of inertia is spherically symmetric ( the inertia tensor of any one of the three rectangles wrt aligned coordinates is diag ( x, y, z ), and the sum of all three is ( x + y + z ) I ), so I think it is probably fair, but I may be missing something .-- talk ) 20 : 17, 17 July 2012 ( UTC)
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