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

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Homework Help Overview

The discussion revolves around the concept of equilibrium in rigid bodies, particularly focusing on the definitions and implications of a rigid body being in equilibrium. Participants explore the nuances of motion and acceleration in relation to equilibrium conditions.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the definition of equilibrium, questioning whether it implies no motion or simply no change in motion. There is confusion regarding the application of equilibrium equations in scenarios involving motion.

Discussion Status

The discussion is active, with participants clarifying their understanding of equilibrium. Some have provided insights into the distinction between constant motion and changing motion, while others express gratitude for the clarification received.

Contextual Notes

There appears to be some confusion regarding the application of equilibrium concepts to problems involving moving rigid bodies, indicating a need for further exploration of definitions and conditions of equilibrium.

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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