two wheels of different diameter attached to each other at the center, roll along a straight line. since they have different diameters, the smaller wheel must slip. (see other stackexchange answers) Why do I not see the slippage in these videos: https://www.youtube.com/watch?v=mW-0bZwoGwQ https://www.youtube.com/watch?v=mmBx8HW6qkQ ?
2026-03-25 04:35:42.1774413342
Aristotle's wheel
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The fact that you don't see any slippage does not mean that it's not there.
In the video you see two fixed lines, $a$ (the big circle is rolling along it) and line $b$ which is there just for orientation. If the velocity of circle center $A$ is $v_A$, the velocity $v_B$ of point $B$ currently in touch with line $b$ is much smaller but it's still different to zero (see picture). There is no slippage only if the touching point has velocity equal to zero, which is true for $P_v$ but not for $B$. Therefore, the smaller circle does not roll along the line $b$ without slippage. It's there, it's just hard to spot it because of much smaller magnitude of velocity $v_B$.