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Another question from a high school student:
If one starts with a hoop and thinks about gradually filling in the
inside of the hoop with mass until it eventually looks like a disk,
one is certainly increasing the moment of intertia of the object.
The effect of the above transformation is to produce an object whichwill roll
ever faster down a given incline. I can show this easily mathematicallystudents
but is there an intuitive way of explaining why this happens? My
understand the mathematics but seem to need a non mathematical
argument too.