What does it mean that a rigid body is in equilibrium?

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SUMMARY

A rigid body is in equilibrium when it experiences no change in its rotational or translational motion, meaning it can be in constant motion but not accelerating. This definition clarifies that equilibrium does not imply the absence of movement; rather, it indicates that all forces and moments acting on the body are balanced. If any force or moment is unopposed, the body will change its linear or angular velocity. Understanding this concept is crucial for solving rigid-body equilibrium problems effectively.

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Kolika28
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Homework Statement
What does it mean that an rigid body is in equilibrium?
Relevant Equations
##\sum F_x=0##
##\sum F_y=0##
## \sum \tau=0##
So I have always been thinking that equilibrium means that an object is not moving or having constant acceleration. On a webside they said: " A rigid body is in equilibrium when it is not undergoing a change in rotational or translational motion. " To me it sounds like the object then must not be moving or rotating. But in several problems I come across for example this one:

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The object is moving and is undergoing a rotational motion . I then thought I could not use the equations above. So it makes me a bit confussed and I find it hard to identify when I'm dealing with a rigid-body equlibrium problem.
 
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" A rigid body is in equilibrium when it is not undergoing a change in rotational or translational motion."
That doesn't mean it isn't moving. Only that the motion is not changing.
 
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That means that the body is not accelerating or decelerating, neither in rectilinear or circular movement; therefore, all forces or moments acting on it, if any, cancell each other.
If one force or moment prevails among the others, then, the mass of the body will change its linear or/and angular velocity.
 
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Ohh, I see, that make sense. Thank you so much both of you! :smile:
 

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