Elementary Experimental Mechanics

Cover Elementary Experimental Mechanics
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Depends on the ratio of the restoring force to the displacement ( 57), and if this ratio changed, the frequency would change, and the pitch of the note given by the tuning-fork would also change. But the pitch of a tuning-fork remains constant although the amplitude of the vibrations decreases. Now, the displacement of 190 MECHANICS a point on the fork is proportional to the strain, and the restoring force is proportional to the stress, and the fact that the pitch remains constant as the vibrat...ions die away shows that the fork obeys Hooke's Law. A tuning-fork of definite pitch may be made of any ordinary metal, even lead, and this shows that, within the elastic limit, all ordinary metals obey Hooke's Law with great, if not perfect, accuracy.
128. Moduli of Elasticity. The modulus, or measure, of the elasticity of a body corresponding to any form of strain, is the ratio of the measure of the stress to that of the strain. There is, therefore, a modulus for each possible form of strain, but only a small- number need be specially considered.


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