Mechanics of engineeringComprising statics and dynamics of solids: and the mechanics of the materials of constructions, or strength and elasticity of beams, columns, arches, shafts, etc . ce do not intersectin a common point, and the centripetal force requisite to keepa suspended body in its orbit (a small circle of the ellipsoid),at any latitude /3 is the resultant of the attraction or trueweight G directed (nearly) toward the centre, and of G thetension of the string. Fig. 85. G is the apparent weight, in-dicated by a spring-balance and MA is itsline of action (plumb-line) normal to theocean
Mechanics of engineeringComprising statics and dynamics of solids: and the mechanics of the materials of constructions, or strength and elasticity of beams, columns, arches, shafts, etc . ce do not intersectin a common point, and the centripetal force requisite to keepa suspended body in its orbit (a small circle of the ellipsoid),at any latitude /3 is the resultant of the attraction or trueweight G directed (nearly) toward the centre, and of G thetension of the string. Fig. 85. G is the apparent weight, in-dicated by a spring-balance and MA is itsline of action (plumb-line) normal to theocean surface. Evidently the apparentweight, and consequently g, are less thanthe true values, since N must be perpen-dicular to the polar axis, while the truevalues themselves, varying inversely as fkTST the square of MC, decrease toward the equator, hence the ap-parent values decrease still more rapidly as the latitude dimin-ishes. The following equation gives the apparent g for anylatitude /?, very nearly (units, foot and second): g = - cos 2/3. (The value is accurate enough for practical purposes.)&ince the earths axis is really not at rest, but moving about. 80 MECHANICS OF ENGINEERING. the sun, and also about the centre of gravity of the moon andearth, the form of the ocean surface is periodically varied, ,the phenomena of the tides are produced. 77. Cycloidal Pendulum.—This consists of a material pointat the extremity of an imponderable, flexible, and inextensiblecord of length == Z, confined to the arc of a cycloid in a ver-tical plane by the cycloidal evolutes shown in Fig. 86. Letthe oscillation begin (from rest) at A, a height = h above 0
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Keywords: ., bookcentury1800, bookdecade1880, booksubjectenginee, bookyear1888
