The damping factor, c>cc, may be determined experimentally by measuring the successive

Chapter 22, Problem 22-70

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The damping factor, c>cc, may be determined experimentally by measuring the successive amplitudes of vibrating motion of a system. If two of these maximum displacements can be approximated by x1 and x2, as shown in Fig. 2216, show that ln (x1>x2) = 2p(c>cc)> 21- (c>cc)2 . The quantity ln (x1>x2) is called the logarithmic decrement.

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