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 38
_/[ d 1 of the base. yv-J^T Problem 8.—If the heaviness of the ma- ^>>^\ x ~a Serial °f tne above cone or pyramid varied ~/y directly as x, y^ being its heaviness at the fig. 22. Dase F^ we would use equations (1), § 23, putting y = j3 x; and finally, for the frustum, _ 4 h;-h* x~ 5 • h: - v… … the distance from the axis being = x, the volume generated isd V = axdF, and the total volume generated by all the dFsof a finite plane figure whose plane con-tains the axis and which lies entirely on oneside of the axis, will be V = fdV =afxdF. But from §23, afxdF^ aFx;ax being the length of path…
Mechanics, Applied · Engineering · Strength of materials
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