Text-book of general physics, for the use of colleges and scientific schools (1899)
Hastings, Charles Sheldon · Boston: Ginn & company · leaf 119
,0 the shear for this element is measured by —• Since fig. 68. tlie stress is proportional to the shear, and themoment of the stress varies as the stress, it follows that themoment of restitution of the stress varies as -. But the moment for z any other element in the slice hasthe same value of 6… … M, rccT. Fig. 69. ~T. TV Comparing the first of these laws with ^F-r = —6(lmi2), it follows that torsional vibrations should be harmonic. It remains to show how the moment depends on the radius. Consider two rods, A, B, of the same length (Fig. 70), theradii of which are in the ratio of 1 to 2, and…
Physics
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