Static Friction: Acts on stationary objects, prevents motion, adjustable up to a maximum value. | Kinetic Friction: Acts on moving objects, opposes motion, constant value.

$mu_s$: Coefficient of static friction, applies to objects at rest, usually greater than $mu_k$. | $mu_k$: Coefficient of kinetic friction, applies to objects in motion, usually less than $mu_s$.

Static Friction: Equal in magnitude and opposite in direction to the applied force, up to the maximum static friction force. | Applied Force: The external force attempting to initiate movement.

Kinetic Friction: Equal in magnitude and opposite in direction to the net applied force. | Applied Force: The external force that, in combination with kinetic friction, results in zero net force and constant velocity.

Static Friction: Magnitude is independent of the contact area between the surfaces. | Kinetic Friction: Magnitude is independent of the contact area between the surfaces.

The force that opposes the motion of two surfaces sliding against each other.

The force that opposes the start of motion between two surfaces in contact.

A dimensionless quantity representing the 'roughness' between two surfaces in kinetic friction. It relates the kinetic friction force to the normal force.

A dimensionless quantity representing the 'stickiness' between two surfaces in static friction. It relates the maximum static friction force to the normal force.

The force exerted by a surface that is supporting the weight of an object. It acts perpendicular to the surface.

$|F_k| = |mu_k F_n|$, where $mu_k$ is the coefficient of kinetic friction and $F_n$ is the normal force.

$F_{f,s,max} = mu_s F_n$, where $mu_s$ is the coefficient of static friction and $F_n$ is the normal force.

1. Calculate the maximum static friction force ($F_{f,s,max} = mu_s F_n$). 2. Compare the applied force ($F_{applied}$) with the maximum static friction. 3. If $F_{applied} > F_{f,s,max}$, the object will move; otherwise, it remains at rest.

1. Draw a free-body diagram. 2. Determine the normal force ($F_n$). 3. Calculate the kinetic friction force ($F_k = mu_k F_n$). 4. Apply Newton's Second Law to find the net force and acceleration.

1. Draw a free-body diagram. 2. Determine the normal force ($F_n$). 3. Calculate the maximum static friction force ($F_{s,max} = mu_s F_n$). 4. Compare the applied force with the maximum static friction force to determine if the object moves.