关于陀螺触地反转的力学解释

DYNAMIC EXPLANATION ON REVERSE ROTATION OF A TOP AFTER CONTACT WITH A PLANE

  • 摘要: 直立旋转的陀螺因转速衰减导致失稳而倾倒触地时,在停转以前会短暂出现反向转动的异常现象。本文解释产生此现象的力学原理,表明触地产生的斜碰撞是出现陀螺触地反转的根本原因。讨论因不同碰撞冲量导致触地后可能出现的运动性态。

     

    Abstract: When a rotating top becomes instable due to the attenuation of rotating speed, and contacts with a plane after falling, an abnormal phenomenon can be observed that the top rotates shortly in the opposite direction before stopping. In present paper a dynamic explanation for this phenomenon is provided. It is shown that the oblique impact during plane-contact is the root cause of the reverse rotation. The possible motions after plane-contact caused by different collision impulse are discussed.

     

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