# Elements of Mechanics: For the Use of Colleges, Academies, and High Schools

A.S. Barnes & Company, 1866 - 331 Seiten

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Seite 239 - ... and altitude equal to the depth of the centre of gravity of the surface below the surface of the fluid.
Seite 319 - ... depressed, its valves F will open and the water will flow through them till the piston reaches its lowest point. The same operation being repeated a few times, a column of water will be lifted to the mouth of the discharge-pipe P, after which every elevation of the piston will deliver a volume of the fluid equal to that of a cylinder whose base is the area of the piston and whose altitude is equal to its play. As the water on the same level within and without the pump will be in equilibrio, it...
Seite 16 - Universal Gravitation. It is, therefore, subject to the same law, that- is, it varies directly as the mass of the body acted •upon, and inversely as the square of its distance from the centre of the earth.
Seite 185 - The moment of inertia of an area with respect to any axis is equal to the moment of inertia with respect to a parallel axis through the...
Seite 66 - ... y" z", being those of its extremities; whence we conclude that the centre of gravity of a straight line is at its middle point. Example 2. — Find the centre of gravity of the perimeter of a polygon. This may be done, according to Equations (90), by taking the sum of the products which result from multiplying the length of each side by the co-ordinate of its middle point, and dividing this sum by the length of the perimeter...
Seite 42 - Hence, the moment of the resultant of two forces is equal to the algebraic sum of the moments of the forces taken separately. 53. Forces Acting at Different Points. Parallel Forces.— We have thus far considered forces acting upon a single particle, or upon one point of a body. If, how- Fia 33...
Seite 186 - J., in reference to an axis through its centre of gravity and perpendicular to the plane containing this point and the normal. In what precedes, no reference is made to friction, but thus far no it is obvious that this principle cannot be wholly dis...
Seite 226 - ... new ways to kill more and more people." Nations, not science, build fiendish machines to slaughter the citizens of other nations. The physical knowledge of matter and energy, even though essential to the invention of the atomic bomb, will not explode. The now famous equation E = me2 (the energy in a body is equal to its mass multiplied by the square of the speed of light) is in itself quite harmless. If the world's societies were dedicated to peace, the powerful forces predicted by that equation...
Seite 282 - Archimedes stated that a body immersed in a fluid is buoyed up by a force equal to the weight of the displaced fluid.
Seite 320 - The resistance which is opposed to a pump rod in raising water, is ~equal to the weight of a column of water whose base is the area of the piston, and...