Period for harmonic motion (horizontal)

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Consider a light flexible rod placed on a horizontle table with part of the rod (length say "x") hanging freely (ie without support of the table) see attachment for clarity

A mass is also hung from the rod t one end.

Are there any equations that relate the Period T of the end of the rod to the length "x" , and the mass(hanging) ?
 

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Look up "cantilever with end mass frequency".