The reader who is familiar with the mechanics of damped oscillatory motion, such as is dealt with in Chapter 11 of the Classical Mechanics notes of this series, may have an advantage over the reader f...The reader who is familiar with the mechanics of damped oscillatory motion, such as is dealt with in Chapter 11 of the Classical Mechanics notes of this series, may have an advantage over the reader for whom this topic is new – though not necessarily so! All that is necessary, then, is to repeat the analysis for Case I, but to substitute \(-\omega^2\) for \(k^2\) and \(j\omega\) for \(k\), and, provided that you know that \(\sinh j\omega t = j \sin \omega t\), you finish with
