The Principles and Practice of Statics and Dynamics, Embracing a Clear Development of Hydrostatics, Hydrodynamics, and Pneumatics: With Central Forces and Super-elevation of Exterior Rail ; for the Use of Schools and Private StudentsWeale, 1851 - 148 من الصفحات |
طبعات أخرى - عرض جميع المقتطفات
عبارات ومصطلحات مألوفة
accelerating force acquired in falling angle axis beam body centre of gravity centrifugal force centripetal force circumference column cord cubic foot curve cwts density depth descend diameter direction distance draw earth embankment equal equilibrium exterior rail feet per second fluid force of gravity forces acting formulæ friction fulcrum given hence horizontal inclined plane indefinitely small length lever mercury miles per hour moment of inertia motion moveable pulley moving number of teeth orifice parabola parallel parallelogram particle perpendicular pinions piston pounds power and weight PROB PROP.-If PROP.-To find proportional props radii radius required the pressure resultant screw shewn specific gravity square inch steam engine surface suspended sustained three forces tons train triangle units valve velocity acquired vessel wall wheels and axles whence whole
مقاطع مشهورة
الصفحة 97 - To explain the construction of the common barometer, and to shew that the mercury is sustained in it by the pressure of the air on the surface of the mercury in the basin.
الصفحة 127 - ... Their distances, according to Kepler and Bullialdus, scarcely differ by any sensible quantity, and where they differ most the distances drawn from the periodic times fall in between them. That the circum-terrestrial force likewise decreases in the duplicate proportion of the distances, I infer thus. The mean distance of the moon from the centre of the earth, is, in semi-diameters of the earth, according to...
الصفحة 85 - Prove that the pressure of a uniform heavy incompressible fluid on any surface is equal to the weight of a column of the fluid, the base of which is equal to the area of the surface, and altitude equal to the depth of the centre of gravity of the surface below the surface of the fluid.
الصفحة 29 - ... any weight. The pulley is either single, or combined together, to increase the power. It is also either fixed or moveable, according as it is fixed to one place, or moves up and down with the weight and power. PROPOSITION XXXIII.
الصفحة 42 - PROP.— To find the resultant of any number of forces acting in the same plane on a rigid body. Let P, F, &c.
الصفحة 14 - A Lever is an inflexible rod moveable only about a fixed axis ; which is called the fulcrum. The portions of the lever into which the fulcrum divides it are called the arms of the lever: when the arms are in the same straight line, it is called a straight lever; in other cases a bent lever.
الصفحة 27 - In a system of toothed wheels and axles, it in required to find the relation between the power and the weight, when they are in equilibrium. The power P is applied to the circumference of the first wheel a, which transmits its effect to the circumference of the first axle or pinion b ; this acts on the circumference of the second wheel e ; and so on through the pinion c to the wheel f, till the force is transmitted to the last axle d, which supports the weight W.
الصفحة 121 - Ans. the breadth of the rectangle 12 >/^, or 5-36656, but the base of the triangular bank 12v/^or 6-53667. QUEST. 32. To find the thickness of an upright rectangular wall, necessary to support a body of water ; the water being 10 feet deep, and the wall 12 feet high ; also the specific gravity of the wall to that of the water, as 1 1 to 7. Ans. 4-204374 feet. QUEST. 33. To determine the thickness of the wall at the bottom, when the section of it is.
الصفحة 50 - CM : Cm :: BM : bm, and AM = BM, therefore am = bm ; hence the line ab will balance itself on C M. Similarly every other line parallel to AB will be in equilibrium on CM ; therefore the whole triangle ABC will balance itself on CM, and consequently the centre of gravity of the triangle is in C M. In like manner it may be proved that the centre of gravity of the triangle is in the line BN; therefore G the point of intersection of CM, BN is the centre of gravity of the triangle. Join MN; then, since...
الصفحة 60 - ... relative gravity is the force it endeavours to descend with in a fluid. Terrestrial gravity is that force by which bodies are urged towards the centre of the earth, and it is measured by the velocity generated in a second of time. Experiments show that a falling body describes...