| Mathematics - 1846 - 308 pages
...equations (3), with the expressions (1), we conclude that the absolute amount of the centrifugal force is the same as if the whole mass of the body were collected at its centre of gravity ; but equations (4) shew that its moments are in general not the same as they would be in this case,... | |
| Archibald Sandeman - Dynamics - 1850 - 222 pages
...same direction, of the forces which act on the body. Consequently the motion of the center of gravity is the same as if the whole mass of the body were condensed into a particle, and this particle were acted on by the forces which act on the body. COR.... | |
| Isaac Todhunter - Statics - 1853 - 362 pages
...to consider some other laws of attraction, and to more complex cases of the ordinary law. 220. PROP. If the particles of a body attract with a force varying...attraction of the body is the same as if the whole mass of t/ie body were collected at its centre of gravity. Take the centre of gravity of the attracting body... | |
| 1859 - 682 pages
...plane area round an axis. Find the solid generated by the revolution of a cycloid round its base. 4. If the particles of a body attract with a force varying as the product of the mass into the distance, show that the resultant attraction of the body is the same as if the whole mass of the body were collected... | |
| Civil service - 366 pages
...plane area round an axis. Find the solid generated by the revolution of a cycloid round its base. 4. If the particles of a body attract with a force varying as the product of the mass into the distance, show that the resultant attraction of the body is the same as if the whole mass of the body were collected... | |
| 1868 - 380 pages
...TUCKER, J. DALE, and others remark that the theorem follows at once from the general property, that " if the particles of a body attract with a force varying as product of the mass into the distance, the resultant attraction is the same as if the whole mass of... | |
| 1869 - 120 pages
...TUCKER, J. DALE, and others remark that the theorem follows at once from the general property, that " if the particles of a body attract with a force varying as product of the mass into the distance, the resultant attraction is the same as if the whole mass of... | |
| W. G. Willson - Dynamics - 1874 - 294 pages
...supposed to be rigidly connected. The construction of Art. 104 shows that the effect of gravity on any body is the same as if the whole mass of the body were collected at the centre of gravity. Obs. — The point determined by the construction of Art. 104 depends only on... | |
| Daniel Kinnear Clark - Engineering - 1878 - 1022 pages
...blow is struck by an oscillating or revolving body moving about a fixed centre, the percussive action is the same as if the whole mass of the body were concentrated at the centre of oscillation. That is to say, the centre of percussion is identical with... | |
| Daniel Kinnear Clark - Engineering - 1889 - 1020 pages
...blow is struck by an oscillating or revolving body moving about a fixed centre, the percussive action is the same as if the whole mass of the body were concentrated at the centre of oscillation. That is to say, the centre of percussion is identical with... | |
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