Spinning a candy cane

Classical Mechanics Level 1

A candy cane of mass $$20g$$ can be spun around my finger at a comfortable frequency of $$5Hz$$. From experience, the head of the candy cane breaks at any higher frequency. Given that the candy acts as a point mass $$5cm$$ away from my finger, what is the magnitude of the maximum tension (N) it can withstand?

Details and assumptions: All parts of the candy cane are in uniform circular motion.

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