Mechanics of engineering. Comprising statics and dynamics of solids: and the mechanics of the materials of constructions, or strength and elasticity of beams, columns, arches, shafts, etc (1888)
Church, Irving P[orter], 1851- [from old catalog] · New York, J. Wiley & sons · leaf 100
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,… … 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; i.e., vx == 12t; dx= vxdt; i.e., x = 12 / ^ = 6f. . (1) dvy=S / tdt; 9 ^o i.e.,vy-\-9 = 4tf, and I dy = / vydt; .-. y = ±f fdt - <df dt, or y = %f - 9*. .…
Mechanics, Applied · Engineering · Strength of materials
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