A course of experiments in physical measurement (1897)
Whiting, Harold, d. 1895 · Boston, D.C. Heath and Co. · leaf 1183
eries of discs situated atregularly increasing Tiistances x from the axis. The momentof inertia of any such disc is K= iMm^Mx; hence, averaging (see IX. (/)), we find for either half of thecylinder, Q- L. Q I Q _L 1 = iEr^ + ^x^^ = \^R^\ f-^ 2 * 2 ^2 * 2 ^2 1148 APPENDIX XI. ■^.Mr., f-+*f(f) whence… … of the same thickness at the centre the ratio y^ : R^: themoments of inertia are proportional to the weight multipliedby the squaie of the radii, hence are to each other as y* : R*.The moment of inertia of a sphere compared with that of acylinder of the same length and diameter is therefore (seeIX.…
Physics
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