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A particle in mechanical equilibrium is undergoing neither linear nor rotational acceleration; however it could be translating or rotating at a constant velocity.
i agree that a constant linear velocity can be there, but is'nt a constant rotational velocity impossible? the scalar speed might stay thesame, however the direction of the speed changes. to achieve this change of direction is nescesary.
am i making some grievous error here? or is the article indeed wrong?
62.45.224.78 ( talk) 22:03, 18 February 2008 (UTC)
"As applied to a rigid body, the necessary and sufficient conditions become:
A rigid body is in mechanical equilibrium when the sum of all forces on all particles of the system is zero, and also the sum of all torques on all particles of the system is zero."
"A rigid body in mechanical equilibrium is undergoing neither linear nor rotational acceleration; however it could be translating or rotating at a constant velocity."
-- 81.225.169.91 ( talk) 18:25, 11 January 2011 (UTC)
A static equilibrium is not a frame-invariant concept - one can always switch to a reference from in which a mechanical equilibrium is also a static equilibrium and one can always switch to a reference frame in which a static equilibrium is just a mechanical equilibrium. Equilibrium is a mathematical state in which generalized momentum coordinates are held constant. These don't have to be linear coordinates and they don't have to be angular coordinates, although those are the two most common choices. An object can be in a state of equilibrium with respect to its linear coordinates and not its angular coordinates, or vice-versa. I appreciate this article's clarity and I hope we don't have to sacrifice that for precision - I'll have to see what I can do.
JsePrometheus (
talk)
19:29, 9 May 2014 (UTC)
Should 'Unstable Stability' be directed here, when it plays such an important role in thermodynamics as well? One can watch water slowly boil and see the system at points change from unstable to stable as bubbles nucleate and grow. Geologist ( talk) 13:36, 7 January 2012 (UTC)
Is the link to Water in the "See Also" Section relevant? - Imaginary Pi Slicer ( talk) 04:31, 27 November 2012 (UTC)
I went ahead and removed it. Imaginary Pi Slicer ( talk) 04:09, 30 November 2012 (UTC)
we have to add a heading named type of mechanical equilibrium, which are stable equilibrium, unstable equilibrium, and neutral equilibrium. AryanpateI ( talk) 12:54, 6 September 2023 (UTC)