Elements of Analytical MechanicsA.S. Barnes, 1853 - 445 pages |
Contents
| 11 | |
| 12 | |
| 20 | |
| 30 | |
| 38 | |
| 46 | |
| 55 | |
| 62 | |
| 75 | |
| 82 | |
| 88 | |
| 93 | |
| 102 | |
| 109 | |
| 116 | |
| 123 | |
| 135 | |
| 149 | |
| 165 | |
| 175 | |
| 185 | |
| 195 | |
| 201 | |
| 386 | |
| 394 | |
| 400 | |
| 409 | |
| 419 | |
| 428 | |
| 430 | |
| 431 | |
| 434 | |
| 436 | |
| 437 | |
| 440 | |
| 441 | |
| 443 | |
| 445 | |
Other editions - View all
Elements of Analytical Mechanics William Holms Chambers Bartlett,Making of America Project No preview available - 2015 |
Common terms and phrases
action angle angular velocity applied axes axis becomes body called centre of gravity centre of inertia centrifugal force co-efficient co-ordinates components constant cord cos² curve d2 z denote density differential direction displaced fluid distance Ditto ditto dividing elements equal equilibrium extraneous forces fluid force of gravity friction generatrix give hence integrating intensity latter length living force mass mercury moment of inertia motion multiplying parallel particles path described pendulum perpendicular piston plane point of application position pressure pulleys quantity R₁ radius reducing resistance resultant rope rotation second member sin² specific gravity square substituted in Equation supposed surface temperature tion trunnion unguent vertical vessel volume weight x₁ zero Ση
Popular passages
Page 303 - When a solid is immersed in a fluid, it loses a portion of its weight ; and this portion is equal to the weight of the fluid which it displaces : that is, to the weight of its own bulk of that fluid.
Page 215 - If it fall obliquely, it will be reflected obliquely in the opposite direction ; and in all cases the angle of incidence will be equal to the angle of reflection. This is the fundamental law of Catoptrics, or reflected light.
Page 19 - In cases where our finest instruments are unable to render us the least aid in estimating the minuteness of bodies, or the degree of subdivision attained ; in other words, when bodies evade the perception of our sight and touch, our olfactory nerves frequently detect the presence of matter in the atmosphere, of which no chemical analysis could afford us the slightest intimation.
Page 207 - ... the squares of the times of revolution of the planets about the sun are proportional to the cubes of their mean distances from the sun.
Page 346 - Fig. 53, the moving surface is the lower end of the inclined leg and the surface at rest is the portion of the sill on which this end of the leg rests. The friction of two surfaces that have been, for a considerable time, in contact and at rest, is different not only in CO TIMBERING p.— FIG.
Page 22 - In the small and insensible distances in which sensible contact is observed, and which do not exceed the 1000th or 1500th part of an inch, there are many alternations of attraction and repulsion, according as the distance of the atoms is changed. Consequently, there are many situations within this narrow limit, in which two atoms neither attract nor repel.
Page 176 - Application to Compound Pendulum. — The application of this principle to the compound pendulum leads to some results of great interest and importance. Let M be the mass of a compound pendulum, that is, a rigid body free to oscillate about a fixed horizontal axis. Let...
Page 13 - Again, one most important use of natural science is the application of its laws either to technical purposes — mechanics, technical chemistry, pharmacy, &c. — to the phenomena of the heavenly bodies — physical astronomy — or to the various objects which present themselves to our notice at or near the surface of the earth — physical geography, meteorology — and we may add geology also, a science which has for its object to unfold the history of our planet from its formation to the present...
Page 19 - Ehrenberg. 0f these creatures, which for the most part we can see only by the aid of the microscope, there exist many species so small that millions piled on each other would not equal a single grain of sand, and thousands might swim at once through the eye of the finest needle. The coats-of-mail and shells of these animalcules exist in such prodigious quantities on our earth that, according to Ehrenberg's investigations, pretty extensive strata of rocks, as, for instance, the smooth slate near Bilin,...
Page 350 - ... for the unguent tallow the co-efficient is the same as the above in every case, except in that of metals upon metals ; this unguent seems less suited to metallic surfaces than the others, and gives for the mean value of its co-efficient 0,10, and for its limiting angle of resistance 5° 43'.