On the motion of a heavy point along a rough helical surface with a vertical axis
Authors:
Abstract
Let FT and Fn be the absolute values of the tangential and normal to the surface components of the weight force acting on a point. A point placed on the surface without initial velocity remains in equilibrium in the presence of friction if FT≤kFn, and begins to move if FT>kFn, where k is the coefficient of friction. The differential equations of motion of a point M of weight g on a rough surface (r, φ, z)=0 in cylindrical coordinates r, φ, z (the z-axis is directed vertically downward) are given in the article.
Funding:
None
References
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