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" Steiner. is true for bath a plane laminar body and a thin three-dimensional body, and states that the moment of inertia of a body about any axis is equal to its moment of inertia about a parallel axis through its... "
Applied Mechanics - Page 165
de Charles Edward Fuller, William Atkinson Johnston - 1913
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The popular encyclopedia; or, 'Conversations Lexicon': [ed. by A. Whitelaw ...

Popular encyclopedia - 1877 - 526 pages
...the former axis meets the plane. Another important theorem is that the moment of inertia of a body about any axis is equal to its moment of inertia about a parallel axis through it* centre of mass, together with the moment of inertia about the former axis of the whole...
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An Elementary Treatise on Analytic Mechanics: With Numerous Examples

Edward Albert Bowser - 1884 - 550 pages
...oii 225. Moments of Inertia relative to Parallel Axes, or Planes. — The moment of inertia of a body about any axis is equal to its moment of inertia about a parallel axis through the centre of gravity of the body, plus the product of the mass of the body into the square...
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Practical Physics

Richard Glazebrook, Sir Richard Glazebrook, Napier Shaw - 1885 - 516 pages
...the Value of k, the Increase in the Moment of Inertia. We know that the moment of inertia of a body about any axis is equal to its moment of inertia about a parallel axis through its centre of gravity, together with the moment of inertia of the whole mass collected at its...
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Applied Mechanics

Gaetano Lanza - 1885 - 956 pages
...Axes. — The moment of inertia of a solid body about an axis not passing through its centre of gravity is equal to its moment of inertia about a parallel axis passing through the centre of gravity, increased by the product of the entire weight of the body by the square of the...
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Dynamics of Rotation: An Elementary Introduction to Rigid Dynamics

Arthur Mason Worthington - 1892 - 176 pages
...found by applying the following proposition : — PROPOSITION IV. — The moment of inertia of any body about any axis is equal to its moment of inertia about a parallel axis through its centre of mass, plus the moment of inertia which the body would have about the given axis...
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An Elementary Treatise on the Calculus for Engineering Students: With ...

John Graham - 1896 - 314 pages
...moment of inertia of an ellipse about its major axis. 80. Prove that the moment of inertia of a body about any axis is equal to its moment of inertia about a parallel axis through its centre of mass, plus the whole mass multiplied by the square of the distance between the...
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Transactions - North East Coast Institution of Engineers and ..., Volume 13

North East Coast Institution of Engineers and Shipbuilders - 1897 - 516 pages
...moment of inertia of the section, they made use of the fact that the moment of inertia of a given area about any axis is equal to its moment of inertia about a parallel axis through its centroid, plus the product of the area into the square of the distance between the two...
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The Principles of Structural Design, Partie 1

George Kenneth Scott-Moncrieff - 1897 - 402 pages
...is as follows :—The Moment of Inertia of a plane figure about an axis not passing through its eg is equal to its Moment of Inertia about a parallel axis passing through its eg plus the area of the figure multiplied by the square of the distance between the two axes. A proof...
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A Pocket-book of Mechanical Engineering: Tables, Data, Formulas, Theory, and ...

Charles MacCaughey Sames - 1906 - 218 pages
...planes. Moment of Inertia of Compound Shapes. The Moment of Inertia of any section about any axis = the Moment of Inertia about a parallel axis passing through its center of gravity + [area of section X (distance between axes)2]. Also, the Radius of Gyration for any section around...
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A Pocket-book of Mechanical Engineering: Tables, Data, Formulas, Theory, and ...

Charles MacCaughey Sames - 1906 - 216 pages
...planes. Moment of Inertia of Compound Shapes. The Moment of Inertia of any section about any axis = the Moment of Inertia about a parallel axis passing through its center of grav ity + [area of section X (distance between axes)2]. Also, the Radius of Gyration for any section...
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