supported by the National Natural Science Foundation of China (Grant Nos 10874169 and 10674125);and the National Basic Research Program of China (Grant No 2007CB925200);Li Shu-Min is grateful to DAAD and DFG for financial supportduring his stay in Germany
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 inco...