The question should be asked, though, based on the fact that "equilibrium position" is, however convenient, a complete delusion-there is an intrinsic frame of roughly constant acceleration, not limited to 4d, but some higher ordinality.
Does motion affect other parameters of a body than positional only?
To basic physics, it doesn't, but empirical evidence continues to mount disproving that in very subtle and startlingly obvious ways.
That would be a wonderful topic for a post, that I haven't more than a few brief moments to spend to develop, but perhaps someone else might be able to spend the time.
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OF course simplified newtonian physics does not always include all of the subtle nuances, but I am having trouble understanding the higher ordinality needed with a sine wave. Of course the equilibrium position is a convenient concept in a frictionless environment, but my experience here on Earth is that things eventually stop and settle just so in the middle.
I would read the article you alluded to here though, with gusto!
We do not live in the frictionless environment, there is always a certain amount of damping. Maybe I should have gone further and introduced full equations that do include friction but I was worried it would scare people off :) I am, however, very satisfied with so far reactions and how well received this post is concerning the fact that the majority of my readers are not familiar with the subject. On the other hand, this text is veeeeery simple and not at all explained enough (in my opinion) to satisfy the needs of those with a scientific background or understanding. I am still finding the balance to satisfy both sides :) Thank you for your lovely responses and inputs, they will be taken into consideration and are very much appreciated. 💚💚💚
That's a very good approach and I like to keep it simple as well. I also like comments that clear the things for everyone. You are doing a great job!
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I feel like being on steem with people like you makes me smarter and happier :)
DId you understand @tvulgaris' question? I thought that he was saying that there is no equilibrium, and I think that things do actually arrive to equilibrium as long as we include friction. Also, as you listed on your charts, the equilibrium is at the point where velocity is maximum.