Abstract
The problem of a raindrop falling through mist is generalized to include air resistance and change of shape. The resulting equation of motion is reduced to quadratures by standard methods. Although these models and their solutions are original and bear some relevance to the realistic problem of raindrop motion, the presentation is mainly pedagogical and intended to illustrate a wide range of concepts and methods in analytical mechanics. Accordingly, air resistance, mist accretion and change of shape, the use of the energy integral by analogy, terminal motions and terminal solutions, formulation by energy methods, degradation of the effect of drag in the presence of mist accretion, asymptotic expansions, and numerical results are discussed in some detail.
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