Period for harmonic motion (horizontal)

Thread starter hms.tech
Start date Oct 8, 2012
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Harmonic Harmonic motion Horizontal Motion Period

AI Thread Summary

The discussion focuses on determining the relationship between the period of harmonic motion (T) for a cantilevered rod with a hanging mass and its length (x). Participants explore relevant equations that describe the frequency of such a system, specifically referencing the concept of a cantilever with an end mass. The key factors influencing the period include the length of the free-hanging portion of the rod and the mass attached to it. The conversation highlights the need for understanding the dynamics of cantilever beams in relation to harmonic motion. Overall, the thread seeks to clarify the mathematical principles governing this physical scenario.

Oct 8, 2012

hms.tech

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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Oct 9, 2012

nasu

Homework Helper

Look up "cantilever with end mass frequency".

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