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Asymmetric rolling bodies and the phantom torque

机译:非对称滚动体和幻象扭矩

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摘要

The center of mass and the point of contact of two-dimensional rolling bodies are used almost interchangeably to understand the dynamics of rolling bodies in introductory physics courses. The use of the contact point has the virtue that one does not need to know the normal and frictional forces at the point of contact. However, the correct use of the point of contact requires a concomitant torque that we call a "phantom torque." This torque vanishes for azimuthally symmetric bodies that are conventionally used as examples in introductory physics courses and, thus, goes unnoticed. We show that the phantom torque can be evaluated easily.
机译:二维滚动体的质心和接触点几乎可以互换使用,以了解物理入门课程中的滚动体动力学。接触点的使用具有以下优点:不需要知道接触点的法向力和摩擦力。但是,正确使用接触点需要伴随的扭矩,我们称其为“幻像扭矩”。对于常规在入门物理课程中用作示例的方位角对称物体,此转矩消失了,因此没有引起注意。我们表明,幻像扭矩可以轻松评估。

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