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Physics/Mass Spring Sytems

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Question
hey!
I wanted to know the real life / industrial applications of the frequency equaton derived from the vertical spring mass model.
There are many articles regarding the mathematical dervation of the equation etc. but nothing explaining it's significance / application.
thanks - much appreciated :)

Answer
Tons.  Think shock absorbers, for one.  That's a mass-spring system with damping.  I would've said clocks, but that's a little old-fashioned.  Bridges seem like a string problem, but there are many parts to a bridge (supports) that require mass-spring analysis.  Researchers even used a mass-spring oscillation to measure the mass of a single bacterium.  Though not a spring directly, jackhammers.  Trampolines and springboards (olympic sports like diving and gymnastics, where even floor exercise has springs under the floor).  Quality control for shaking cars to test them.  These are just a few things that come to mind off the top of my head that aren't related to running shoes and Jack-in-the-box toys...surely you can think up a few more, if you look around and think about it.  How do you think we weigh astronauts in space to see how their health is?

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Dr. Stephen O. Nelson

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I can answer most basic physics questions, physics questions about science fiction and everyday observations of physics, etc. I'm also usually good for science fair advice (I'm the regional science fair director). I do not answer homework problems. I will occasionally point out where a homework solution went wrong, though. I'm usually good at explaining odd observations that seem counterintuitive, energy science, nuclear physics, nuclear astrophysics, and alternative theories of physics are my specialties.

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I was a physics professor at the University of Texas of the Permian Basin, research in nuclear technology and nuclear astrophysics. My travelling science show saw over 20,000 students of all ages. I taught physics, nuclear chemistry, radiation safety, vacuum technology, and answer tons of questions as I tour schools encouraging students to consider careers in science. I moved on to a non-academic job with more research just recently.

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Ph. D. from Duke University in physics, research in nuclear astrophysics reactions, gamma-ray astronomy technology, and advanced nuclear reactors.

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