F=ma 2021 Problem 17

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.

The three points shown on the clock hands have accelerations of magnitude a_{A}, a_{B}, and a_{C}. The point B is at the midpoint of the long hand. Which of the following is true?

Answer Choices
A. a_{A}<a_{B}=a_{C}
B. a_{A}=a_{B}<a_{C}
C. a_{B}<a_{A}<a_{C} \leftarrow CORRECT
D. a_{B}<a_{A}=a_{C}
E. a_{B}<a_{C}<a_{A}

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