This may come as a surprise, but the highly popular captive ball in two cups device is actually viscoelastic.
In the vertical plane, the ball and cup is a very effective coupler. The small contact patches providing an almost spike-like contact area.
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Considering the forces in the horizontal plane, as the ball rolls, there is friction between the ball and the cup. This results in a loss of energy, a generation of heat, and a viscous property. Depending on the material of the ball, and the material of the cup, you will have different coefficients of friction.
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Hence, the ball and cup and related ball and race devices are a special class of viscoelastic coupler/decoupler, with almost perfect coupling in the vertical plane, and viscoelastic properties in the horizontal plane.