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Jun 13, 2020 at 14:46 history edited Gert CC BY-SA 4.0
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Jun 13, 2020 at 14:40 history edited Gert CC BY-SA 4.0
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Jun 13, 2020 at 14:32 comment added Gert This is why it's inertia that determines the velocity (and angular velocity), not the coefficient of friction $\mu$.
Jun 13, 2020 at 14:30 comment added Gert Your E.o.M. $g\sin\theta-\mu g \cos\theta=a$ is not correct (as I outlined in my answer) because it offers the possibility of $a<0$!!, high $\mu$. Not all friction force $F_f=\mu g\cos\theta$ is 'used'.
Jun 13, 2020 at 14:21 history edited Gert CC BY-SA 4.0
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Jun 13, 2020 at 12:20 comment added Not_Einstein I don't question what you wrote nor the fact that objects with different moments of inertia roll with different accelerations/speeds. I'm just trying to reconcile the implication of the eq. I wrote in my original post that the 𝜇's must therefore be different. There is no other parameter in that eq. to distinguish one object from another.
Jun 13, 2020 at 5:49 comment added Gert No. See my edit, below the page break.
Jun 13, 2020 at 5:48 history edited Gert CC BY-SA 4.0
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Jun 12, 2020 at 18:46 comment added Not_Einstein If the 𝜇 are not different, then both objects would have the same equation of motion of their centers of mass along the plane and arrive at the bottom at the same time, no?
Jun 12, 2020 at 17:05 history edited Gert CC BY-SA 4.0
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Jun 12, 2020 at 16:53 history answered Gert CC BY-SA 4.0