摘要

As a counterexample of the Euler condition for nonholonomic constraint problems [H.C. Shen, Acta Phys. Sin. 54, 2468 (2005)], we investigate the Apell-Hamel dynamical system on a horizontally moving plate. The inconsistency of the results with Newton mechanics suggests that the Euler condition is not a universal model for nonlinear nonholonomic systems. This is attributed to the fact that the virtual displacements so obtained are not normal to the constraint forces.

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