Abstract
Within the framework of the model of local interaction between a moving body and a medium and under the assumption that the tangential stress on the body surface is described by the mixed model of friction, the shapes of the bodies that have a given area of base and afford, for a rectilinear motion in the medium, a minimum to the resistance or a maximum to the length of the trajectory of an inertial motion are found. The parameters of the optimal body shape are related with the medium characteristics and the body velocity.
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