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单词 parallel axis theorem
释义
parallel axis theorem

Mathematics
  • Let IG be the moment of inertia of a rigid body about an axis through G, the centre of mass of the rigid body. Then the moment of inertia of the body about some other axis parallel to the first axis equals IG + md2, where m is the mass of the rigid body and d is the distance between the two parallel axes.

    Rephrasing the theorem in terms of the inertia matrix, for a point P at (column) position vector r from G, then

    IP=IG+m(|r|2I3rrT)

    where I3 denotes the 3×3 identity matrix.


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