The mathematical principles of mechanical philosophy, and their application to elementary mechanics and architecture, but chiefly to the theory of universal gravitation / [John Henry Pratt].
- Pratt, John H. (John Henry), 1809-1871.
- Date:
- 1842
Licence: Public Domain Mark
Credit: The mathematical principles of mechanical philosophy, and their application to elementary mechanics and architecture, but chiefly to the theory of universal gravitation / [John Henry Pratt]. Source: Wellcome Collection.
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![ARTICLE PAGE 481. Principle of Vis Viva: and remarks. The Conservation of vis viva. The vis viva of a system ^equals' the vis viva owing to the motion of translation + vis viva owing to rotation. When the vis viva is a maximum, and when a minimum. 445 484. Principle of Least Action, or, of Stationary Action . 450 485. Sir W. Hamilton’s Principle of Varying Action. 452 488. The Laws of Small Oscillations: Co-existence of Small Vibra¬ tions; Superposition of Small Motions. 456 * CHAPTER XII. THE MOTION OF A FLEXIBLE BODY. 493. Equations of motion of a vibrating cord. 461 494. Integration and interpretation of the equations. A harp string. A piano-forte string . 463 CHAPTER XIII. MOTION OF ONE OR MORE [BODIES, ACTED ON BY IMPULSIVE FORCES. 496. Introductory remarks . 469 500. Equations of motion for one body. 470 501. Motion of centre of gravity; and motion of rotation . 47] 503. Motion about a fixed axis. 472 504. Motion about a fixed point . 473 505. Impact of spheres . 474 507. Axis of Spontaneous Rotation . 477 508. Centre of Percussion . 478 510. Equations of motion for a system of bodies. 480 511. Motion of centre of gravity. Conservation of Motion of Centre of gravity and of Areas. Effect of earthquakes, volcanic explosions, winds, friction and pressure of the Ocean, &c., on the position of the Earth’s axes of rotation, and on the mean day . 481 514. Vis Viva is lost or gained jin a system by the action of internal impulsive forces, according as they are of the nature of collision or explosion; a perfectly elastic system sustains no loss. The effect of the degradation of rocks, breakers on the sea-shore, vol¬ canic explosions, &c. the descent of rivers, vapour and cloud in the form of rain, boulders and avalanches, evaporation, &c. On the length of the day . 482](https://iiif.wellcomecollection.org/image/b29286700_0035.jp2/full/800%2C/0/default.jpg)
