Designing a driven spring mass system for school project

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SUMMARY

The discussion focuses on designing a driven spring mass system to demonstrate resonance using second order differential equations. Key goals include finding the resonant frequency within a 0-10 Hz range, measuring this frequency, and exploring the relationship between spring frequency and signal frequency. Participants suggest using subwoofers for low-frequency vibrations, employing high-speed cameras for graphing, and considering alternative power sources like car batteries for the project. Cost-effective materials and manual adjustments are emphasized for a successful demonstration.

PREREQUISITES
  • Understanding of second order differential equations
  • Familiarity with resonance concepts in physics
  • Basic knowledge of vibration generators and signal generators
  • Experience with high-speed camera operation and data plotting
NEXT STEPS
  • Research subwoofer applications for generating low-frequency vibrations
  • Learn about using frequency generators with smartphones
  • Explore methods for graphing motion using high-speed camera footage
  • Investigate cost-effective materials for building a spring mass system
USEFUL FOR

Students in physics or engineering, educators demonstrating resonance concepts, and hobbyists interested in building mechanical systems for educational purposes.

RubinLicht
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Homework Statement


I have a math project due in a month. The topic i chose to present was second order differential equations, so i felt like making a driven spring mass system to demonstrate resonance and nice things like that. I have a few questions about materials and design and such and would like to bounce some ideas off of you all. any input is appreciated.

Homework Equations


irrelevant

The Attempt at a Solution


Here is a link i found that looks pretty compact, and i wonder if it would be possible to cut down on the price of some of the materials used in this with replacements or kits.



I also don't mind if the demonstration is less sophisticated and requires that I do some manual tweaking (mechanical vs electronic controls), as long as it is good enough for me to demonstrate resonance nicely. Heres another link, just for ideas (looks way too expensive harhar:



Goals: the frequency will always be in the range of 0-10 hz
1) to be able to find the resonant frequency by adjusting the vibration frequency
2) to measure the said frequency
3) draw some connections between spring frequency, signal frequency, resonance and stuff. [intentionally vague]

Goals that aren't necessary but i would like to do:
1) graph the path of the spring system, onto computer or onto paper (by being ghetto and attaching a pencil or brush to the mass or something or tracking it and plotting it with some software, throw any ideas at me)
2) have the vibrational frequency be displayed while I am adjusting (would require some sophisticated stuff)

I could always ask my friends/adult friends whether or not they have some of the more sophisticated things like vibration generators and signal (function?) generators...

thanks for your time.

I also wonder if it is possible to do something like this for very low frequencies and very accurately, maybe with accuracy of 0.05 hertz in the range of 0-10 Hz.

 
Last edited:
You can practice by helping this guy https://www.physicsforums.com/index.php?threads/867500/you can pull a subwoofer from a surround sound system or better yet someones car and just put double sided tape or velcro in the Centre of the speaker. Subwoofers are just easier to deal with than speakers. And if damaging the speaker with tape is a no no then put a wieght that's heavy relative to the LIGHT spring you will use. Connect it to your phone and use that frequency generator. Speakers might be really annoying but I thought it would sound fine at low frequency.

Try to find the highest speed camera with a player that's easy to slow-mo and play in forward and reverse with a ruler or something behind the spring and then plot a graph by hand.

If power is an issue then borrow someones car battery. The rednecks around my woods always have an extra battery in their trucks so if you know someone with a diesel then that's a good battery and a good bet.
 
Last edited:
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