| Augustus Jay DuBois - 1877 - 408 Seiten
...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 - 404 Seiten
...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 - 1113 Seiten
...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 - 57 Seiten
...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 - 1129 Seiten
...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
...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 - 676 Seiten
...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... | |
| Ovid Wallace Eshbach, Byron D. Tapley, Thurman R. Poston - 1990 - 2176 Seiten
...— 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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