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let's say we have two cylindrical rodes of the same material and of the same length, but with different diameters

we place them in an inclined floor and let them roll without friction

which will reach the bottom first? the thick or the thin?

my understanding for this question is that we need to calculate the torque that makes the rod roll, which is depended on the weight of the rod and the diameter of the rod

then we need to calculate the angular velocity that this torque generates, which is depended on the circumference of each rod, along with the torque generated due to the mass/weight of each rod

in my opinion, we cannot be sure that one or the other will move faster, if we don't do these calculations

or I miss something?

thanks!