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" Expressed in words, this equation states that the polar moment of inertia for an area, with respect to an axis perpendicular to its plane, is equal to the sum of the moments of inertia about any two mutually perpendicular axes in its plane that intersect... "
Applied Mechanics - Page 134
de Charles Edward Fuller, William Atkinson Johnston - 1913
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Dynamics for Engineers

Bichara B. Muvdi, Amir W. Al-Khafaji, John W. McNabb - 1997 - 942 pages
...of symmetry. Because the polar moment of inertia, with respect to an axis through point O, is equal to the sum of the moments of inertia, with respect to any two orthogonal in-plane axes intersecting at point O, we conclude that J0 = /x + /. = /n + /, = /» + /V....
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An Introduction to Mechanics

N. Basu, S. Nanda, P. C. Nayak - 1999 - 438 pages
...The moment of inertia of a system with plane distribution of matter about an axis perpendicular to its plane is equal to the sum of the moments of inertia about any two perpendicular axis in the plane that intersect the first axis. Proof Let us take a plane...
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Physics

Max Fogiel - 2000 - 564 pages
...parallel-axes theorem. Prove also that the moment of inertia of a thin plate about an axis at right angles to its plane is equal to the sum of the moments of inertia about two mutually perpendicular axes concurrent with the first and lying in the plane of the thin...
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Comprehensive Objective Physics

Narinder Kumar, Dr. J. K. Juneja - 2006 - 1854 pages
...theorem of perpendicular axis, the moment of inertia of a plane lamina about an axis perpendicular to its plane is equal to the sum of the moments of inertia of the lamina about any two mutually perpendicular axes in its own plane intersecting each other at...
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