 | Augustus Jay DuBois - 1877 - 532 pages
...reverse. The integral 1/3 if dy is the moment of inertia of the croeasection,and may be defined as the sum of the products obtained by multiplying the mass...particle by the square of its distance from the axis. [See Supplement to Chapter VI L, Art. 10.] From the above, we see its importance in determining the... | |
 | Augustus Jay Du Bois - 1875 - 472 pages
...inertia, of the crosssection, and may be defined as the sum of the products obtained by multiplying thd mass of each elementary particle by the square of its distance from the axis. [See Supplement to Chapter VII., Art. 10.] From the above, we see its importance in determining the... | |
 | William Kent - 1902 - 1204 pages
...body with respect to an axis is the algebraic sum of the products obtained by multiplying the weight of each elementary particle by the square of its distance from the axis. If the moment of inertia with respect to any axis — /, the weight of any element of the body = w,... | |
 | Earl Bixby Ferson - 1903 - 72 pages
...axis, or point of suspension, is the algebraic sum of the products obtained by multiplying the weight of each elementary particle by the square of its distance from the axis, or point of suspension. If the moment of inertia with respect to an axis equal I, the weight of any... | |
 | William Kent - 1902 - 1224 pages
...body with respect to an axis is the algebraic sum of the products obtained by multiplying the weight of each elementary particle by the square of its distance from the axis. If the moment of inertia with respect to any axis = /, the weight of any element of the body = w, and... | |
 | 1915 - 1436 pages
...of a body, with respect to an axis, is the sum of the products obtained by multiplying the weights of each elementary particle by the square of its distance from the axis. Hence, the moment of inertia of the same body varies according to the position of the axis. It has... | |
 | David Wells Payne - 1917 - 724 pages
...body, with respect to any axis, is the algebraic sum of the products obtained by multiplying the weight of each elementary particle by the square of its distance from the axis. If the moment of inertia with respect to any axis be denoted by /; the weight of any elementary particle... | |
 | Franklin D. Jones - 1928 - 1254 pages
...of a body, with respect to an axis, is the sum of the products obtained by multiplying the weights of each elementary particle by the square of its distance from the axis; hence, the moment of inertia of the same body varies according to the position of the axis. It has... | |
 | Ovid Wallace Eshbach, Byron D. Tapley - 1990 - 2104 pages
...— Definitions The moment of inertia of a body with respect to (or about) a line (or axis) is the sum of the products obtained by multiplying the mass of each elementary part by the square of its distance from the line.* Letting /, denote moment of inertia about an X axis:... | |
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... must be measured on a line at right angles to the direction of the force. Moment of Inertia. The moment of inertia of a body, with respect to an axis, is the sum of the products obtained by multiplying the mass of each elementary particle by the square... 