| John Henry Pratt - 1841 - 598 páginas
...mass of the pendulum, CO = I, k = rad. of gyration about G, a = rad. of the axis at C. Now by Art. 429 **the motion of the centre of gravity is the same as if** all the forces were applied at that point ; <fx F cPy R Also by Art. 430 the motion of rotation is... | |
| Siméon-Denis Poisson - 1842
...of the friction will be, at the same time, kP , hf nj -- — COS arfff, -- r- COS pua. ob Now, since **the motion of the centre of gravity is the same, as if, the mass of** the moveable being supposed to be concentrated in it, the motive forces of all its points were applied... | |
| John Henry Pratt - 1842 - 620 páginas
...mass of the pendulum, CO = I, k = rad. of gyration about G, a = rad. of the axis at C. Now by Art. 429 **the motion of the centre of gravity is the same as if** all the forces were applied at that point ; F d*y R Also by Art. 430 the motion of rotation is the... | |
| Edward John Routh - 1882 - 385 páginas
...Together they constitute the principle of the independence of the motions of translation and rotation. **The motion of the centre of gravity is the same as if the** whole mass were collected at that point, and is therefore quite independent of the rotation. The motion... | |
| Henry Percy Smith - 1883 - 521 páginas
...connexions in the science of dynamics. Thus it is proved that, in the case of a body acted on by any forces, **the motion of the centre of gravity is the same as if** all the mass were collected at the centre of gravity and all the forces applied to it unchanged in... | |
| Glossary - 1883
...connexions in the science of dynamics. Thus it is proved that, in the case of a body acted on by any forces, **the motion of the centre of gravity is the same as if** all the mass were collected at the centre of gravity and all the forces applied to it unchanged in... | |
| Edward John Routh - 1884 - 343 páginas
...gravity. Since every normal section is a principal section, let us take GA a tangent to the path. Hence **the motion of the centre of gravity is the same as if the** whole mass collected at that point were acted on ?2 fr ~TTT« • According to the usual convention... | |
| Edward John Routh - 1884 - 343 páginas
...under the action of any forces whatever of which the resultant passes through the centre of the sphere, **the motion of the centre of gravity is the same as if the** plane were smooth, and all the forces were reduced to five-sevenths of their former value. And it is... | |
| Edward Albert Bowser - 1884 - 511 páginas
...principle asserts is, that, if the attraction of the central force on each element of the body be found, **the motion of the centre of gravity is the same as if** these forces were applied at the centre of gravity parallel to their original directions. 250. The... | |
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