Problem

In practice, it is often difficult to determine the logarithmic decrement of a system with...

In practice, it is often difficult to determine the logarithmic decrement of a system with light damping defined in Prob. 19.129 by measuring two successive maximum displacements. Show that the logarithmic decrement can also be expressed as (1/k) ln(xn/xn+k), where kis the number of cycles between readings of the maximum displacement.

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