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" Show that the moment of inertia of a body about any axis is equal to the moment of inertia about a parallel axis through the center of mass plus the product of the mass of the body and the square of the distance between the axes. "
Mechanics' Pocket Memoranda: A Convenient Pocketbook for All Persons ... - Σελίδα 49
των International Correspondence Schools - 1897 - 318 σελίδες
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Elements of Natural Philosophy, Μέρος 1

William Thomson Baron Kelvin, Peter Guthrie Tait - 1872 - 316 σελίδες
...the second proposition above is equivalent to — The moment of inertia of a system about any axis is equal to the moment of inertia about a parallel axis through the centre of inertia, /, together with the moment of inertia, about the first axis, of the whole mass...

The Principles of Dynamics. An Elementary Text-book, Etc

Richard Wormell - 1876 - 282 σελίδες
...velocity. 132. Proposition XXX.— The moment of inertia of a system of heavy particles about a given axis is equal to the moment of inertia about a parallel axis through the centre of gravity, together with the product of the whole mass by the square of the distance of the...

Theoretical Naval Architecture: A Treatise on the Calculations ..., Τόμος 1

Samuel James Pope Thearle - 1877 - 384 σελίδες
...system about these two axes. 4. The moment of inertia of a body or system of bodies about any axis is equal to the moment of inertia about a parallel axis, through the centre of gravity, plus the moment of inertia of the whole mass collected at the centre of gravity...

Theoretical Naval Architecture: A Treatise on the Calculations ..., Τόμος 1

Samuel James Pope Thearle - 1877 - 400 σελίδες
...system about these two axes. 4. The moment of inertia of a body or system of bodies about any axis is equal to the moment of inertia about a parallel axis, through the centre of gravity, plus the moment of inertia of the whole mass collected at the centre of gravity...

The Elementary Part of A Treatise on the Dynamics of a System of ..., Τόμος 1

Edward John Routh - 1882 - 408 σελίδες
...products about all other parallel axes. The moment of inertia of a body or system of bodies about any axis is equal to the moment of inertia about a parallel axis through the centre of gravity plus the moment of inertia of the whole mass collected at the centre of gravity about...

Introductory Treatise on Rigid Dynamics

William Steadman Aldis - 1882 - 156 σελίδες
...= 0 by the properties of the centre of inertia. That is, the moment of inertia about the axis of z is equal to the moment of inertia about a parallel axis through the centre of inertia added to the product of the whole mass into the square of the distance between the...

A Treatise on Dynamics

William Henry Besant - 1885 - 376 σελίδες
...facts are of great utility; these are (1) That the moment of inertia of a rigid body about any axis is equal to the moment of inertia about a parallel axis through the centre of gravity together with the product of the mass by the square of the distance between those...

Text-book of Mechanics: With Numerous Examples

Thomas Wallace Wright - 1890 - 276 σελίδες
...third is equal to Md*, where M is the total mass. Hence 7 =! or the moment of inertia about any axis is equal to the moment of inertia about a parallel axis through the centre of gravity, together with the product of the mass into the square of the distance between the...

Elements of Mechanics Including Kinematics, Kinetics and Statics: With ...

Thomas Wallace Wright - 1896 - 418 σελίδες
...by the aid of the. following two propositions : (1) The moment of inertia of a body about any axis is equal to the moment of inertia about a parallel axis through the center of gravity, together with the product of the weight of the body into the square of the distance between the two...

The Calculus for Engineers

John Perry - 1897 - 398 σελίδες
...inertia of the whole mass about the axis. It is easy to prove that the moment of inertia about any axis is equal to the moment of inertia about a parallel axis through the centre of gravity together with the whole mass multiplied by the square of the distance between the...




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