How Does Amplitude Influence the Oscillation Period of a Cantilever?

AI Thread Summary
The discussion focuses on how the amplitude of a cantilever affects its oscillation period, specifically using the formula T= 2pi* sqrt ((4ML^3)/(Ebd^3)). It raises the question of whether changes in amplitude influence the time period of oscillation. Participants suggest that to maintain a consistent time period, the amplitude should not vary significantly during the experiment. To initiate motion, it's recommended to "twang" the cantilever rather than simply letting the mass drop, allowing for controlled variations in amplitude. Overall, the conversation emphasizes the importance of consistent amplitude for accurate measurements in the experiment.
singh246
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1) Does the amplitude of a cantilever affect the time period of each oscillation when the experiment is set up like http://www.practicalphysics.org/go/Experiment_430.html

2) Please explain your answer.

3) The equation I am using is T= 2pi* sqrt ((4ML^3)/(Ebd^3)). Now this equation works out the time period of the vibrations, but if the time period is changing what does this equation work out?

4) I am planning to set up the experiment as shown in the link, but how would I set the cantilever into motion in order to make the formula work. Do I just let the mass at the end of the cantilever drop?

Any extra information is much appreciated. Thanks
 
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Welcome to PF!

singh246 said:
3) The equation I am using is T= 2pi* sqrt ((4ML^3)/(Ebd^3)). Now this equation works out the time period of the vibrations, but if the time period is changing what does this equation work out?

Hi singh246! Welcome to PF! :smile:

Don't do it long enough for the time period to change! :smile:
4) I am planning to set up the experiment as shown in the link, but how would I set the cantilever into motion in order to make the formula work. Do I just let the mass at the end of the cantilever drop?

Just sellotape it on, and then, as the link says, "twang" it!. :smile:

(Twang it different amounts to get different amplitudes.)

It's not rocket science …

no special twanging training needed! :biggrin:​
 

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