Will the Box Slide When Equations are Satisfied?

[aaronfue]

Homework Statement

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

Homework Equations

Eq.1: F = μ_sN
Eq.2: F ≤ μ_sN

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?

 

[rude man]

Homework Statement

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

Homework Equations

Eq.1: F = μ_sN
Eq.2: F ≤ μ_sN

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, μ_d 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. μ_d is generally < μ_s as I recall (been a long, long time ...).