 | Samuel Earnshaw - 1844 - 462 páginas
...distance from a fixed line. A very simple theorem which we shall prove in Art. 224, enables us to deduce the moment of inertia of a body with respect to a given line, from its moment of inertia with respect to a line, drawn through the centre of gravity, parallel... | |
 | James Booth - 1851 - 180 páginas
...graphic representation of the motion, by means of the properties of those functions. Assuming the usual definition of the moment of inertia of a, body with respect to a certain right line ; that it is the sum of all the constituent elements of the body, each multiplied... | |
 | John Francis Twisden - 1860 - 380 páginas
...of 1 : l+o, show that the moment of inertia with reference to the given axis becomes (1 + ay I. 127. The radius of gyration. — It is evident from the...line of a certain determinate length k, such that g where I is the moment of i ertia, and W the weight of sa the body ; the line k is called the radius... | |
 | John Francis Twisden - 1863 - 412 páginas
...ratio of 1 : 1 + o, show that the moment of inertia with reference to the given axis becomes (1 + o)2 L 135. The Radius of Gyration. — It is evident from...line of a certain determinate length k, such that l=wtf 9 where i is the moment of inertia, and w the weight of the body ; the line k is called the radius... | |
 | Great Britain. Education Department. Department of Science and Art - 1877 - 562 páginas
...equal, show that A will be brought to rest, and that B will move along CA produced. (25-) 30. Define the moment of inertia of a body with respect to a given axis. The moment of inertia of a uniform rod with respect to an axis, passing through one end at right angles... | |
 | Sir Thomas Muir - 1906 - 518 páginas
...l'École Polytechnique, ix. (pp. 41-67), pp. 45, 40.]* In this well-known memoir, in which the conception of the moment of inertia of a body with respect to a plane was first made known, there repeatedly occur expressions, which at the present clay would appear... | |
 | Ervin Sidney Ferry - 1908 - 208 páginas
...Whence, in this case X^ = ^8=9' These three results agree with the conclusion drawn from (71) that the moment of inertia of a body, with respect to a given axis of rotation, is directly proportional to the square of its distance from the axis of rotation. 85.... | |
 | Ervin Sidney Ferry - 1921 - 760 páginas
...element from the axis of reference. As this quantity is of the same form as the expression Zmr2 for the moment of inertia of a body with respect to a given axis, it is called the moment of inertia of the area of the lamina with respect to the assigned axis. The... | |
 | Fred B. Seely, Newton Edward Ensign - 1921 - 516 páginas
...written, Hence, 103. Moments of Inertia with Respect to Two Perpendicular Planes.— The determination of the moment of inertia of a body with respect to a line is frequently simplified by making use of the following theorem : The sum of the moments of inertia... | |
 | Royal Society of Edinburgh - 1888 - 924 páginas
...I'ficole Poll/technique, ix. (pp. 41-67), pp. 45, 46.]* In this well-known memoir, in which the conception of the moment of inertia of a body with respect to a plane was first made known, there repeatedly occur expressions, which at the present day would appear... | |
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It is evident from the definition of the moment of inertia of a body with respect to a given axis... 
