Geodesic
Stopping dynamics of sliding and spinning bodies on a rough plane surface
Russian journal of nonlinear dynamics, Tome 7 (2011) no. 3, pp. 549-558

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We propose a qualitative theory of stopping dynamics of solids moving on a plane surface with an arbitrary distribution of normal stresses in the contact area. We studied the equations of motion describing the combined action of the dry friction acting on a sliding and spinning body all the way long before the motion ceases, calculated the movement time, and the distance traveled. Finally we identified the localization of the instantaneous center of rotation at the time of the complete stop, which depends on the mass distribution within the body and on the asymptotic behavior of the friction force and torque.
Keywords: dry friction, flat motion, instantaneous center of rotation. 
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     author = {O. B. Fedichev and P. O. Fedichev},
     title = {Stopping dynamics of sliding and spinning bodies on a rough plane surface},
     journal = {Russian journal of nonlinear dynamics},
     pages = {549--558},
     publisher = {mathdoc},
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     year = {2011},
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     url = {http://geodesic.mathdoc.fr/item/ND_2011_7_3_a9/}
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O. B. Fedichev; P. O. Fedichev. Stopping dynamics of sliding and spinning bodies on a rough plane surface. Russian journal of nonlinear dynamics, Tome 7 (2011) no. 3, pp. 549-558. http://geodesic.mathdoc.fr/item/ND_2011_7_3_a9/