# 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:

• $$R > l > L$$

• $$l > R > L$$

• $$L > l > R$$

• $$L = l = R$$

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