A thin rod of length \(L\) oscillating about its end (\(I = \frac13 mL^2\)), a hoop of radius \(R\) oscillating about its edge (\(I=2mR^2\)) and a simple pendulum of length \(l\) (\(I = ml^2\)) are all found to have the same period.
\(R > l > L\)
\(l > R > L\)
\(L > l > R\)
\(L = l = R\)
that we cannot know the relative lengths without knowing the masses of the objects
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