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ABSTRACT
From Wikipedia: “The Painlevé paradox is a well-known example by Paul Painlevé in rigid-body dynamics that showed that rigid-body dynamics with both contact friction and Coulomb friction is inconsistent.” I will discuss a version of this paradox using a simple classical mechanics problem of how a rod on table with friction should fall down. While equations governing this motion should be easily written down by a student after taking a general physics course, how to solve them may be more subtle. Since this problem seems so elementary, we can all participate and talk about it first. Then I’ll give my opinion and discuss some aspects of the physics, which can be illustrated by some commonly observed examples.
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