Oscillations

Oscillations#

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.

Part 1#

This means:

Answer Section#

  • \(R > l > L\)

  • \(l > R > L\)

  • \(L > l > R\)

  • \(L = l = R\)

  • that we cannot know the relative lengths without knowing the masses of the objects

Attribution#

Problem is licensed under the CC-BY-NC-SA 4.0 license.
The Creative Commons 4.0 license requiring attribution-BY, non-commercial-NC, and share-alike-SA license.

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