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The elements of the mechanics of materials and of power transmission (1911)

King, William Richard, 1852- · New York, J. Wiley & sons; [etc., etc.] · leaf 22

An illustration from The elements of the mechanics of materials and of power transmission, 1911, leaf 22
ple V. — Find the center of gravity of a cone.Conceive the cone of Fig. 14 to be made up of a great numberof thin sections, each parallel to the base. The center of gravity of each of these sections will beat its center, therefore the centerof gravity of the cone will lie inthe locus of the centers… … Fig. 14.the elemental volume is irr^hdh. R:r=H:L Rhwhence r = —H Then by substitution we have Moment of elemental volume = Moment of whole volumeVolume of cone = irR^hHh H hHh rRm If X denotes the distance of the center of gravity of the conefrom the vertex, we shall have CENTER OF GRAVITY 13 _ _…

Mechanics, Applied · Power transmission

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