Play around with mass, radius, and moment of inertia, what is independent of the others? it seems only the moment of inertia matters, but that is very unintuitive…or is it intuitive?
Also, given an object, what's the fastest way for it to get down the hill? Brachristocrone_Curve, and another explanation using Calculus of Variations, and optimal control theory??!!
Assume objects of the same mass…why again does a dowel roll slower than Is there an intuitive explanation behind moment of inertia?
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