Will the Box Slide When Equations are Satisfied?

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    Friction Motion
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SUMMARY

The discussion centers on the principles of impending motion, specifically the conditions under which a box will slide based on frictional forces. The key equations referenced are Eq.1: F = μsN, indicating the force required to initiate motion, and Eq.2: F ≤ μsN, which describes the condition for static friction. When Eq.1 is satisfied, the box begins to slide, transitioning to dynamic friction characterized by a new coefficient, μd, which is typically less than μs. Understanding these equations is crucial for analyzing motion in physics.

PREREQUISITES
  • Understanding of static and dynamic friction coefficients (μs and μd)
  • Familiarity with free body diagrams (FBD)
  • Basic knowledge of Newton's laws of motion
  • Ability to perform calculations involving normal forces and frictional forces
NEXT STEPS
  • Study the differences between static and dynamic friction in detail
  • Learn how to construct and analyze free body diagrams (FBD) for various scenarios
  • Explore advanced applications of Newton's laws in real-world problems
  • Investigate the effects of different surfaces on friction coefficients
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators looking to clarify concepts related to friction and motion.

aaronfue
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Homework Statement



I'm trying to understand the whole impending motion stuff.

Homework Equations



Eq.1: F = μsN
Eq.2: F ≤ μsN

The Attempt at a Solution



After obtaining my normal forces and friction force from analyzing my FBD, I should set up the data using these two equations?

And so...if Eq.1 is satisfied then the object, let's say a box, will start to move? And if Eq.2 is satisfied the box will not move?
 
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aaronfue said:

Homework Statement



I'm trying to understand the whole impending motion stuff.

Homework Equations



Eq.1: F = μsN
Eq.2: F ≤ μsN

The Attempt at a Solution



After obtaining my normal forces and friction force from analyzing my FBD, I should set up the data using these two equations?

And so...if Eq.1 is satisfied then the object, let's say a box, will start to move? And if Eq.2 is satisfied the box will not move?

In a wod - correct.

Once eq. 1 is met, the box slides and there is a new coeff. of friction involed, μd or 'dynamic' friction. This coefficient is the ratio of the force F needed to keep the box moving without acceleration to the weight N of the box. μd is generally < μs as I recall (been a long, long time ...).
 

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