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

AI Thread Summary
Equilibrium for a rigid body means it is not experiencing changes in rotational or translational motion, which does not imply that the body is stationary. An object can be moving at a constant velocity or rotating at a constant rate while still being in equilibrium. In this state, all forces and moments acting on the body must cancel each other out, preventing any acceleration or deceleration. If any force or moment is unbalanced, the body's linear or angular velocity will change. Understanding this distinction clarifies how to identify rigid-body equilibrium problems effectively.
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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