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.
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 im 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.