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" W-TJT, or the force is to the weight as the height of the plane to its base. "
Iconographic Encyclopaedia of Science, Literature, and Art - Page 188
by Johann Georg Heck - 1851
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A Collection of Problems and Examples Adapted to the "Elementary Course of ...

Harvey Goodwin - Mathematics - 1851 - 196 pages
...of the stream. 2. When a weight is supported on a smooth inclined plane by a force along the plane, the force is to the weight as the height of the plane is to its length. If the roughness of a plane, which is inclined to the horizon at a known angle, be...
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An Elementary Treatise on Mechanics ...

Isaac Wilber Jackson - Mechanics - 1852 - 202 pages
...parallel to the base of the plane, p = (90° — i\ and we have P : P' : : h : I cos i that is, the power to the weight, as the height of the plane to its base. We have regarded the plane as inclined with respect to the horizon, and supposed the force P' to be...
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An Elementary Treatise on Mechanics: Embracing the Theory of Statics and ...

Augustus William Smith - Mechanics, Analytic - 1855 - 368 pages
...1. If the force P act parallel to the plane, e=0, and (c) becomes W 1 AB P~sin.i~BC' or, the power is to the weight as the height of the plane to its length. ™ W 1 AB From (d) we get -=-= :=TT' or, the reaction of the plane is to the weight as the...
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A Treatise on Arithmetic, Combining Analysis and Synthesis: Adapted to the ...

James Stewart Eaton - Arithmetic - 1857 - 376 pages
...is applied in a line parallel to the length of the plane, an equilibrium is produced when the power is to the weight as the height of the plane to its length. Ex. 1. An inclined plane is 40 feet long and 5 feet high; what weight will be balanced by a...
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A Compendium of Natural Philosophy, Adapted to the Use of Schools ...

Denison Olmsted - Physics - 1858 - 468 pages
...power applied at P, and acting parallel to the plane. Then an equilibrium is produced, when the power is to the weight, as the height of the plane to its length. The inclined plane becomes a mechanical power in consequence of its supporting a part of the...
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Iconographic Encyclopaedia of Science, Literature & Art, Volume 1

Johann Georg Heck - Encyclopedias and dictionaries - 1860 - 332 pages
...then the force, P, required to sustain BC the weight, W, will be P = W tang. BAG = W tang. jS = Wrg-, or the force is to the weight as the height of the...smaller with respect to the base, BA; when, as in fig. 45, BC = AB, or BAG — 45°, then P=W, or the power is equal to the weight. Finally, if the height,...
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Natural Philosophy, popularly explained, etc

Samuel Haughton - 1867 - 316 pages
...other words, Fig- "• " Jf in the inclined plane the power be applied parallel to the plane, the Power is to the Weight as the height of the plane to its length.1' The case of equilibrium, on the inclined plane just considered, is one of frequent occurrence...
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A Dictionary of Science: Comprising Astronomy, Chemistry, Dynamics ...

George Farrer Rodwell - Physical sciences - 1871 - 620 pages
...force parallel to the base. Consequently, the condition of equilibrium is, that the power shall be to the weight as the height of the plane to its base, or as the distance between the threads to the circumference of the cylinder. The screw is usually used...
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Manual of Rules, Tables & Data for Mechanical Engineers ...

Daniel Kinnear Clark - Engineering - 1878 - 1022 pages
...: BC : AB, rig. iao.— inclined Plane. that is, the power, acting parallel to the inclined plane, is to the weight, as the height of the plane to its length. Then, by equality of moments, PxAB = WxBC, or P x length of inclined plane = W x height of...
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The Cambridge Examiner, Volume 4

Education, Higher - 1884 - 538 pages
...quadrilateral ABCE. 6. When a weight is supported on a smooth inclined plane by a force along the plane, the force is to the weight as the height of the plane to its length. 7. Define centre of pressure, and distinguish between whole and resultant pressure. 8. A rectangle...
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