Three-dimensional moment invariants

F A Sadjadi1, E L Hall

  • 1STUDENT MEMBER, IEEE, Department of Electrical Engineering, University of Tennessee, Knoxville, TN 37916.

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The moment of inertia is a quantitative measure of the rotational inertia of an object. It is defined as the sum of the products obtained by multiplying the mass of each particle of matter in a given body by the square of its distance from the axis. The total moment of inertia for compound objects can be found by determining and adding the moment of inertia of individual components together.
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The comparability between linear and angular velocities, linear and angular accelerations, and the kinematic equations of translational and rotational motion can be extended to the concept of inertia.
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