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681:. I don't object to including explanation of harmonic oscillators as the ultimate source of SHM, but the article needs to start with a simpler explanation of SHM as a function of circular motion, and detailed definition of the three parameters in the SHM expression: amplitude, frequency, and phase. We technical editors need to recall our own school days, and remember that the vast majority of readers of this page are nontechnical people who merely want the simplest, most elementary explanation of SHM. --
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utility both of the minority-language
Wikipedias and of the languages those Wikipedias serve. This would in turn allow more people to in good conscience teach their mother tongue to their children, which could in turn inspire use of the language in literary and cultural pursuits, or ultimately perhaps prevent foreign linguistic domination and/or language death.
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impression of out-of-touch arrogance on the part of the authors. I therefore respectfully submit that inclusion of a gloss of the definitions of the technical terms used in this article could make great strides in elucidating readers who under varying circumstances are possessed themselves of a vocabulary lacking in the requisite degree of sophistication.
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No offence taken. Perhaps I should have been more critical of the article, but I decided that my "sinusoidally" was not a simple word, whereas a weight bouncing on a spring can be imagined by most people, and a statement of the conditions under which SHM occurs can be expressed in simple
English. I
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Maybe this is a problem in all science; but calling this article simple, by naming it "simple" in the title "Simple
English Knowledge," makes the authors seem snobby to readers who actually need simplicity. That's why I think adding definitions for the technical terms used could make things far more
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It is ironic that high school education has given more latitude in recent decades to sex education than to complex numbers. If instead of viewing complex numbers as something to be feared, as this article evidently does by not even daring to mention their name, they were presented as both beautiful
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Oddly enough, approaching the subject from both less technical and more technical levels uses the same idea of projection of circular motion. At the more technical level invoking the complex plane, one begins from the fact that ω traces a steadily rotating point around the unit circle when ω is any
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I would suggest using the definition of simple harmonic motion as acceleration proportional to extension from equilibrium position as a starting point in order to DERIVE that x = asin(omega.t+delta). This seems more logical rather than seemingly plucking that equation from nowhere; it is much easier
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with time, but I don't think that's a simpler way to explain the motion. I suppose we do get readers with no background in either mathematics of physics, but it is difficult to explain without using the vocabulary of those disciplines. I might have a go at creating an article in Simple
Knowledge,
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I wasn't objecting to the use of complex numbers in describing SHM, but to its definition as the motion of a harmonic oscillator, requiring differential equations for readers to understand. It should be defined first in an introductory section for nontechnical readers as the projection on the axis
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This article introduces the subject at too technical a level. SHM is an important introductory kinematic concept and is introduced in elementary algebra classes as the projection on the coordinate axes of an object moving in a circle about the origin, long before harmonic oscillators and Newton's
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And then in a subsequent section explain its connection with harmonic oscillators. Unbelievably, this gobbledygook article doesn't even include the basic SHM equation above until the 3rd section, and then doesn't explain the parameters A, ω, φ, the core of SHM. It represents the triumph of the
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Wikipedias written in languages which are a linguistic minority in their jurisdictions could serve wholesale as a model for use of the minority language in online communications. By helping a language make the transition into online communication, a feedback loop could be created bolstering the
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Forty years ago I asked Martin
Gardner why he never used complex numbers in his Scientific American column, and he said he considered them beyond the scope of his column. Given how advanced some of the other concepts were in his column, I felt this was short-changing the Sc.Am. readership by
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I think use of small vocabulary in the Simple
English Knowledge is important because the English and Simple English Knowledge, being written in the lingua franca of the Internet, hold a unique potential to facilitate transmission of knowledge into Wikipedias that currently serve underserved
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Perhaps I'm merely beholding a stance endemic across myriad scientific disciplines; but in my opinion, characterization of this article as simple, specifically through use of the moniker "simple" in the title "Simple
English Knowledge," conveys to those ill-versed in the technical jargon an
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to be the algebraic representation of a 90-degree rotation of the real axis about the origin. Rotation by a given angle is represented algebraically as multiplication by the value of ω on the unit circle representing that angle. When ω =
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Hi...I'm new to editing wikipedia.....pardon me if something is wrong I changed reference 1 because of incorrect furmula stated there The original formula is Cosx = Sin (x-pi/2) which is wrong. The correct formula is Cosx = Sin (pi/2-x)
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If you have any suggestions for improvement, different axis labels, etc., or ideas about a different way to present the concept, I'd be glad to take a shot at it. One defect of these diagrams is that they don't include the phase factor
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The cosine one needs some mental gymnastics (easy for those accustomed to it) to rotate the displacement 90 degrees, but it's also a plot of the velocity (for omega = 1). May I use your simpler version for Simple
Knowledge?
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The first sentence explains that SHM is one particular type of periodic motion. Another way of explaining would be that periodic motion is simple harmonic if the displacement (and therefore speed and acceleration) varies
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perpetuating an unfortunate stereotype aggravated by the pejorative terminology "complex" and "imaginary" when all that was really involved was the harmonious marriage of geometry and algebra obtained by taking
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Yes, I do think that is simpler than differential equations, and I would expect the Simple
Knowledge article to explain it in this simple way. I'm also happy to have a simpler introduction in this article.
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Simple harmonic motion occasionally appears in situations where acceleration is not needed for the discussion... for instance in circular motion. I don't object to acceleration as a starting point, though.
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Really, Dbfirs? You don't think that's simpler than differential equations? The reason it is unnecessarily complicated and confusing people is that the article introduces the concept the wrong way. See
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612:. has been moved over into the area under the graphic. There is now an overlap between the statement and the comment of the graphic. I tried to fix this, but no matter what I did, at least the
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Here's a first stab at a SHM animation. I don't have much experience, I guess there are a lot of ways it could be done. Thoughts? Corrections? Improvements that should be made? --
718:. The even and odd derivatives of ω are respectively its real and imaginary parts, each with its own scale factor. Phase and frequency are determined by choice of origin and scale of
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started a simpler article on Simple
Knowledge, but I'm not into creating animations, and a (moving) picture is worth a thousand words in this context. Any .gif experts?
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971:. This article should first define it that way, as the projection of a point moving in a circle, and then introduce the sine function and present the equation of SHM
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to understand the acceleration definition and then integrate to get position, although of course the mathematics are a little more taxing. Anyone object?
735:, it is obvious that the product of two rotations by 90 degrees maps 1 to -1, and more generally each point in the plane to its reflection in the origin.
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editors' desire to show off their skills at solving simple linear differential equations over their desire to write an understandable article. --
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equations. In Knowledge, SHM is referenced in many basic articles that don't have anything directly to do with harmonic oscillators, such as
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approximately the motion of a piston in an engine, or a person's leg pedalling a bicycle. It doesn't necessarily have anything to do with a
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I also find the article confusing. Some examples of non-harmonic motion might help. How is harmonic motion different from periodic motion?
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May I suggest that someone take a look at Note 2? There seems to be a coding error, as the last part of the statement about x
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1351:=0, but it may confuse newbies, because the single period sine wave will no longer have the familiar form. --
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Thanks. My simplest bicycle explanation ended up as cycloidal instead of sinusoidal, so I abandoned it!
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Might it be an idea to remove the comma out of the acceleration equation - it currently looks like
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on Knowledge. If you would like to participate, please visit the project page, where you can join
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The word simple refers to the harmonic motion as such, not to the article difficulty. Compare
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stayed over under the graphic. Can someone fix this? (Non-user) 01:53, 8 December 2010 (UTC)
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Sorry, Dbfirs, I was uncollegial. Must have been those 20 cups of coffee I had :) --
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and beneficial, it would eliminate one of the demons contributing to math anxiety. --
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Yes, that looks good. Thank you. Possibly slow it down a fraction? (
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Shouldn't v(t) be equal to -Aw sin(wt) rather than +Aw sin(wt) ?
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respectively. When ω = 1 the phase and frequency of ω are zero.
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1241:Yeah it is too fast, I'll slow it, thanks --
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