 | John Henry Pratt - Celestial mechanics - 1836 - 672 pages
...connected with the Moment of Inertia. PROP. The moment of inertia of a system about any axis is equal to the moment of inertia about an axis through the centre of gravity and parallel to the former, together with the product of the mass of the system and the square of the... | |
 | Henry Brougham Baron Brougham and Vaux, Edward John Routh - Physics - 1855 - 512 pages
...the result is that if h be the distance of the centre of gravity from the axis of suspension, and mP the moment of inertia about an axis through the centre of gravity parallel to the axis of suspension, the length of the equivalent simple pendulum will be , _ This is on the supposition... | |
 | Henry Brougham Baron Brougham and Vaux, Edward John Routh - Physics - 1855 - 540 pages
...the result is that if h be the distance of the centre of gravity from the axis of suspension, and mi? the moment of inertia about an axis through the centre of gravity parallel to the axis of suspension, the length of the equivalent simple pendulum will be . _ «' + Aa This is on... | |
 | Andrew Murray - 1861 - 262 pages
...taken as origin. PROP. (I.) — The moment of inertia of any si/stem about any a.ris is equal to tlie moment of inertia about an axis through the centre of gravity parallel to the former ; PLUS the product of y the mass of the system into tlie square of the distance between... | |
 | Andrew Murray - Naval architecture - 1863 - 280 pages
...taken as origin. axes of PROP. (I.) — The moment of inertia of any system about any axis is equal to the moment of inertia about an axis through the centre of gravity parallel to the former ; PLUS the product of the mass of the system into the square of the distance between the... | |
 | Mathematics - 1868 - 272 pages
...known,* that if A, 5, C are the principal moments of inertia of a rigid body at the centre of gravity, the moment of inertia about an axis through the centre of gravity, whose direction-cosines referred to the principal axes are Z, m, n, is PA + m'B + ifC ........................ | |
 | Isaac Todhunter - 1878 - 144 pages
...the mass of the whole into U(Q) • -^ tne same wa7 we cart shew that the two systems have the same moment of inertia about an axis through the centre of gravity parallel to the other edge. Also, by the aid of Art. 250, we can shew that the two systems have the same moment... | |
 | William Cawthorne Unwin - Machine design - 1890 - 482 pages
...the least moment of inertia about any axis through the centre of figure of the section (that is, I is the moment of inertia about an axis through the centre of figure of the section at right angles to the plane in which the column most easily bends). Let p be... | |
 | Henry Smith Carhart - Physics - 1894 - 360 pages
...pass through a minimum between O. and A. To find this point we have in Article 72 a constant, since I0 is the moment of inertia about an axis through the centre of mass, perpendicular to the length of the bar. Then h (l — A) is a constant. But when the product... | |
 | University of Sydney - 1903 - 662 pages
...small rocking oscillations in which the strings remain vertical is given by 4-2M3MR2/='2\r!, where MR2 is the moment of inertia about an axis through the centre of mass perpendicular to the plane of the strings, and /, X are the length and modulus of each string.... | |
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I0 the Moment of Inertia about an axis through the centre of gravity, and... 
