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 . Fig. 96a. TheSee 82. Special Problem (imaginary; from Weisbachs Mechan-ics. The equations are not homogeneous).—Suppose a ma-terial point, mass = M, to startfrom the point O, Fig. 97, witha velocity = 9 feet per secondalong the — Y axis, being sub-jected thereafter to a constantattractive X force, of a value X = 12M, and to a variable Y force increasing with the time fig. 97. (in seconds, reckoned from 0\. 88
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 . Fig. 96a. TheSee 82. Special Problem (imaginary; from Weisbachs Mechan-ics. The equations are not homogeneous).—Suppose a ma-terial point, mass = M, to startfrom the point O, Fig. 97, witha velocity = 9 feet per secondalong the — Y axis, being sub-jected thereafter to a constantattractive X force, of a value X = 12M, and to a variable Y force increasing with the time fig. 97. (in seconds, reckoned from 0\. 88 MECHANICS OF ENGINEERING. viz., Y= SMi. Required the path, etc. For the X motionwe have^ = JT-f- M — 12, and hence dvx = I pxdt = 12 / dt; , vx == 12t; dx= vxdt; , x = 12 / ^ = 6f. (1) dvy=S / tdt; 9 ^o ,vy-\-9 = 4tf, and I dy = / vydt; .-. y = ±f fdt - = 4V + <=4*, + 9 (4) TAtf length of curve measured from (9 will be (since v =ds -7- ^) 5 = /*+9r, • • and the normal acceleration —v^-^-r (eq. (4), § 74), becomesfrom (4) and (7) pn = 12 (ft. per square s
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Keywords: ., bookcentury1800, bookdecade1880, booksubjectenginee, bookyear1888
