 | William Thomson Baron Kelvin, Peter Guthrie Tait - Mechanics, Analytic - 1872 - 316 pages
...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... | |
 | Richard Wormell - Dynamics - 1876 - 282 pages
...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... | |
 | Samuel James Pope Thearle - Naval architecture - 1877 - 384 pages
...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... | |
 | Samuel James Pope Thearle - Naval architecture - 1877 - 400 pages
...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... | |
 | Edward John Routh - Dynamics, Rigid - 1882 - 408 pages
...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... | |
 | William Steadman Aldis - Dynamics, Rigid - 1882 - 156 pages
...= 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... | |
 | William Henry Besant - Dynamics - 1885 - 376 pages
...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... | |
 | Thomas Wallace Wright - Mechanics - 1890 - 276 pages
...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... | |
 | Thomas Wallace Wright - Mechanics - 1896 - 418 pages
...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... | |
 | John Perry - Calculus - 1897 - 398 pages
...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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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. 
