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乒乓球在弯曲状态下对刚性表面的斜向撞击。

Oblique impact of a buckling table-tennis ball on a rigid surface.

机构信息

LPENSL, CNRS UMR5672, ENS de Lyon, Université de Lyon, F-69342 Lyon, France.

MATEIS, CNRS UMR 5521, INSA-Lyon, Université de Lyon, F-69621 Villeurbanne, France.

出版信息

Phys Rev E. 2023 May;107(5-2):055007. doi: 10.1103/PhysRevE.107.055007.

DOI:10.1103/PhysRevE.107.055007
PMID:37329092
Abstract

We report on the rebound of a table-tennis ball impinging without any initial spin in oblique incidence on a rigid surface. We show that, below a critical incidence angle, the ball rolls without sliding when bouncing back from the surface. In that case, the reflected angular velocity acquired by the ball can be predicted without any knowledge of the properties of the contact between the ball and the solid surface. Beyond the critical incidence angle, the condition of rolling without sliding is not reached within the time of contact with the surface. In this second case, one can predict the reflected angular and linear velocities, as well as the rebound angle, provided the supplementary knowledge of the friction coefficient associated with the ball-substrate contact.

摘要

我们报告了一个没有初始旋转的乒乓球在斜向冲击刚性表面时的回弹现象。我们表明,在一个临界入射角以下,当球从表面反弹时,它会在不滑动的情况下滚动。在这种情况下,无需了解球与固体表面之间的接触特性,就可以预测球获得的反射角速度。超过临界入射角后,在与表面接触的时间内,球无法达到不滑动的滚动条件。在第二种情况下,如果知道与球-基底接触相关的摩擦系数,就可以预测反射角速度和线速度以及反弹角度。

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