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Physics, 25.06.2020 05:01 chickenhead123

agine slicing a thick disk of radius R in half along its diameter. If you stand the half-disk on its curved edge and nudge it, it will rock back and forth. If the rocking is not too extreme, the time T required for a complete back-and-forth oscillation turns out to be nearly independent of the angle through which the disk rocks. The only other things that T might plausibly depend on are the disk's radius R, its mass M, and the local gravitational field strength g (in m/s2), since gravity is what is causing the rocking motion. (If you think about it, the disk's thickness is only relevant in that a thicker disk has more mass than a thinner one, so we already have this covered if we consider dependence on M.) Use dimensional analysis to find a reasonable formula for this rocking time up to a unitless constant.

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