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 . 8 lbs. RECTILINEAR MOTION OF A MATERIAL POINT. 57 58. Graphic Representations. Unif. Ace. Motion.—With theinitial velocity = 0, the equations of § 56 become v=pt, (1) s = ipt% (2) s = v* -^ 2p, . . (3) and s — ivt (4) Eqs. (1), (2), and (3) contain each two variables, which maygraphically be laid oft to scale as co-ordinates and thus give acurve corresponding to the equation. Thus, Fig. 62, in (I.), we MQ-h /
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 . 8 lbs. RECTILINEAR MOTION OF A MATERIAL POINT. 57 58. Graphic Representations. Unif. Ace. Motion.—With theinitial velocity = 0, the equations of § 56 become v=pt, (1) s = ipt% (2) s = v* -^ 2p, . . (3) and s — ivt (4) Eqs. (1), (2), and (3) contain each two variables, which maygraphically be laid oft to scale as co-ordinates and thus give acurve corresponding to the equation. Thus, Fig. 62, in (I.), we MQ-h /? «i_^^_Jj - h^r_ l J7 (in.) have a right line representing eq. (I.) ; in (II.), a parabola withaxis parallel to s, and vertex at the origin for eq. (2); also aparabola similarly situated for eq. (3). Eq. (4) contains threevariables, s, v, and t. This relation can be shown in (I.), s be-ing represented by the area of the shaded triangle = %vt.(II.) and (III.) have this advantage, that the axis OS may bemade the actual path of the body. [Let the student determinehow the origin shall be moved in each case to meet the supposi-tion of an initial velocity = -|- c or — <?.].
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Keywords: ., bookcentury1800, bookdecade1880, booksubjectenginee, bookyear1888
