The elements of the mechanics of materials and of power transmission (1911)
King, William Richard, 1852- · New York, J. Wiley & sons; [etc., etc.] · leaf 32
III. — Find the polar moment of inertia and radiusof gyration of a right circular cone about its axis. Conceive the volume of the cone,Fig. 20, to be made up of an infinitenumber of circular strips, each ofthickness dh. Consider the strip ofradius r and distant h from thevertex.Then Elemental… … Hence,Second moment of elemental volume = dlp= irr^KHh = irr^dh Then 2t/n r^dh. By similar triangles, -Then whence h = -—j and dhK EdrR 2R^o 10 2RJo K = \/|=
Mechanics, Applied · Power transmission
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