iMechanica - Comments for "Equilibrium equations in mechanics: why there are only two kinds?"
https://imechanica.org/node/15542
Comments for "Equilibrium equations in mechanics: why there are only two kinds?"enRe.: Equilibrium equations in 4D
https://imechanica.org/comment/25105#comment-25105
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<p><em>In reply to <a href="https://imechanica.org/node/15542">Equilibrium equations in mechanics: why there are only two kinds?</a></em></p>
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Dear Jayadeep,
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Ummm... If you can explain your point via a suitable example (even if only out of "random thoughts"), complete with some graphical illustration, then it would be easier to analyze it.
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Here, please think: After using appropriate dimensional analysis to take the relevant terms of the inertia of an object to unity, the "simple" force is quantitatively the same as the linear acceleration that it undergoes. The "angular force" i.e. the moment (of a force) is, the angular acceleration that it undergoes. What, if any, would be the nature of any additional kind of force(s) in a 4D space?
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Hint: In general, before you can introduce forces, i.e., before you can begin working out the kinetics, you first have to state the kind of kinematics there is. What kind of a new kinematics do you see as necessitated by the introduction of the fourth dimension? If you can state this part (say with some illustrative graphics to go with it), then answering your question would be as simple as defining a new kind of acceleration corresponding to it.
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Have fun i.e. random thoughts!
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--Ajit
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- - - - - <br />
[E&OE]
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</ul>Mon, 28 Oct 2013 09:04:30 +0000Ajit R. Jadhavcomment 25105 at https://imechanica.org