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The figure below shows three small objects, $A$, $B$, and $C$, rotating independently about a vertical fixed post of negligible thickness. The masses are attached to the post by thin massless rods. Each object's mass, $m$, distances from the pole, $d$ and angular velocity, $\omega$, are given in the table below:

$$\begin{matrix} \begin{matrix} Object & m \space (kg) & d \space (m) & \omega \space (\frac {rad}{s})\\\ A & 3.8 & 0.52 & 6.5 \\\ B & 7.5 & 043 & 4.2 \\\ C & 12 & 0.27 & 8.3 \end{matrix} \end{matrix}$$

Rank the objects in order of their rotational kinetic energies, smallest first.

A

A, B, C

B

B, A, C

C

C, A, B

D

B, C, A

E

A, C, B

F

C, B, A

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