 | Dionysius Lardner - Geometry, Algebraic - 1823 - 658 pages
....body by the square of its distance from the axis of rotation. The quantity s(pz1), which'is called the moment of inertia of the body with respect to the axis on which it is supposed to revolve, is of considerable importance in all theorems relating to the motion... | |
 | Dionysius Lardner - Geometry, Algebraic - 1831 - 582 pages
...body by the square of its distance from the axis of rotation. The quantity s(p2I), which is called the moment of inertia of the body with respect to the axis on which it is supposed to revolve, is of considerable importance in all theorems relating to the motion... | |
 | Siméon-Denis Poisson - Mechanics - 1842 - 770 pages
...consequently, the equation of this motion will be (No. 392) (a:) ,,da> MA ~Tt — P • MA2 denoting the moment of inertia of the body with respect to the axis of rotation, w its angular velocity of rotation at the end of the time t, and /u the total moment of the... | |
 | William Nathaniel Griffin - Dynamics, Rigid - 1847 - 130 pages
...extending throughout the whole body. If p be the density at the point a>, y, « of the body, fxfyfzpr2 is the moment of inertia of the body with respect to the axis from which r is measured, the integration being performed throughout the body. The definition given... | |
 | Isaac Wilber Jackson - Mechanics - 1852 - 202 pages
...2(V2m) = %(r?m) + a^M. . . . . . . .. . . •e ,0 . . . [b] In this equation, the term v(r?m) expresses the moment of inertia of the body with respect to the axis ' which passes through its centre of gravity ; and expresses its moment of inertia with respect to... | |
 | Isaac Wilber Jackson - Mechanics - 1854 - 218 pages
...we have 2(r 2 m; = 2(r,»m) + a?M. ................. [b] In this equation, the term z(r?m) expresses the moment of inertia of the body with respect to the axis FF' which passes through its centre of gravity ; and z(r^m) expresses its moment of inertia with respect... | |
 | William Guy Peck - Mechanics - 1859 - 368 pages
...&c.) I = mr* + m'r" + m"r'" + &c., or, 2(ww) XI = 2(mr*). Hence, l ' The expression Z(mr*), is called the moment of inertia of the body with respect to the axis of suspension. The moment of inertia of a body, with respect to any axis, is the algebraic sum of the... | |
 | William Guy Peck - Mechanics - 1870 - 332 pages
...by summation, recollecting that 6 is the same for all the terms, L=$S(mr*)P ..... (109) But £(mr') is the moment of inertia of the body with respect to the axis of rotation. Denoting the entire mass by M, and its radius of gyration, with respect to the axis of rotation,... | |
 | Denison Olmsted - Physics - 1870 - 556 pages
...of all the terms similar S (mr) to that which follows it, The numerator of this expression is called the moment of inertia of the body with respect to the axis of suspension, and the denominator is called the moment of the mass, with respect to the.axis of suspension.... | |
 | Osmund Airy - Geometrical optics - 1870 - 606 pages
...61, the distances of the lines of action of these forces from 0, 6 the angular acceleration, and / the moment of inertia of the body with respect to the axis of rotation. This equation may be put in the form e = , + P'A + P ya + etc.) Now let us suppose the moment... | |
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S mom = aJ, in which /is the moment of inertia of the body with respect to the axis of rotation. 
