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The problem of a thin rigid rod sliding on a horizontal surface in the plane is considered. This problem is commonly cited as an example of the inconsistency of planar rigid-body Newtonian mechanics. The existence of a consistent solution, using Routh's analysis of rigid-body impact is demonstrated.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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Mason et al. (2003) studied this question.
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