The Quirky Clock from F=ma Competitions by AAPT

The Quirky Clock from F=ma Competitions by AAPT
In a certain country, the short hand of a clock is exactly half as long as the long hand, and rotates twice for each rotation of the long hand.

There are two points on the long hand as A on the outer tip of the long hand and B, in the middle. Point C is on the tip of the shorter hand while their accelerations are given as aa, ab, and ac.

What is the order of the accelerations?

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