On a mechanical lens

    2012, Vol. 8, No. 4, pp.  773-781

    Author(s): Ivanov A. P., Erdakova N. N.

    The problem of dynamics of heavy uniform ball moving on the fixed rough plane under its own inertia and forces of dry friction is considered. Assuming that friction coefficient is variable, the switching curve for change the value of friction coefficient is constructed. Using this curve to change the value of friction coefficient we have shown that the bundle of equal balls starting from one interval with equal linear and angular velocities should gather at one point.
    Keywords: dry friction, variable friction coefficient, ball’s dynamics
    Citation: Ivanov A. P., Erdakova N. N., On a mechanical lens, Rus. J. Nonlin. Dyn., 2012, Vol. 8, No. 4, pp.  773-781

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