Friction
Static, kinetic and rolling friction with laws and applications. (Physics › Laws of Motion, NEET UG syllabus.)
What is Friction?
A contact force that opposes the relative motion or tendency of relative motion between two surfaces in contact.
Key formula / rule: Static Friction
Key points
- Define friction and differentiate between static, kinetic, and rolling friction.
- State the laws of static and kinetic friction.
- Calculate the force of static and kinetic friction given the coefficient of friction and normal force.
- Apply the concept of friction to solve problems involving objects on horizontal and inclined planes.
Common exam trap
Confusing static friction with limiting friction; static friction can be less than its maximum value.
Definitions
- Term
Friction
- Meaning
A contact force that opposes the relative motion or tendency of relative motion between two surfaces in contact.
- Term
Static Friction
- Meaning
The friction force that opposes the tendency of relative motion between two surfaces that are at rest relative to each other.
- Term
Limiting Friction
- Meaning
The maximum value of static friction that can be exerted between two surfaces just before relative motion begins.
- Term
Kinetic Friction
- Meaning
The friction force that opposes the relative motion between two surfaces that are sliding past each other.
- Term
Rolling Friction
- Meaning
The friction force that opposes the rolling motion of an object over a surface.
- Term
Coefficient of Static Friction (μs)
- Meaning
A dimensionless constant representing the ratio of the maximum static friction force to the normal force between two surfaces.
- Term
Coefficient of Kinetic Friction (μk)
- Meaning
A dimensionless constant representing the ratio of the kinetic friction force to the normal force between two surfaces.
- Term
Normal Force (N)
- Meaning
The component of the contact force perpendicular to the surface that an object rests on or moves across.
Learning objectives
Define friction and differentiate between static, kinetic, and rolling friction.
State the laws of static and kinetic friction.
Calculate the force of static and kinetic friction given the coefficient of friction and normal force.
Apply the concept of friction to solve problems involving objects on horizontal and inclined planes.
Understand the concept of angle of friction and angle of repose.
Identify situations where friction is beneficial or detrimental.
Formulae
- Name
Static Friction
- Note
fs is the force of static friction, μs is the coefficient of static friction, N is the normal force. fs is self-adjusting up to its maximum value.
- Expression
fs ≤ μsN
- Name
Limiting Static Friction
- Note
This is the maximum static friction that can be exerted before an object starts to move.
- Expression
fs,max = μsN
- Name
Kinetic Friction
- Note
fk is the force of kinetic friction, μk is the coefficient of kinetic friction, N is the normal force. This force acts when surfaces are in relative motion.
- Expression
fk = μkN
- Name
Rolling Friction
- Note
fr is the force of rolling friction, μr is the coefficient of rolling friction, N is the normal force. This force acts when an object rolls over a surface.
- Expression
fr = μrN
- Name
Angle of Friction
- Note
θ is the angle of friction, which is the angle between the resultant of the normal force and the limiting friction, and the normal force.
- Expression
tan θ = μs
- Name
Angle of Repose
- Note
α is the angle of repose, which is the maximum angle of inclination of a plane at which a body placed on it just begins to slide down.
- Expression
tan α = μs
Prerequisites
Newton's Laws of Motion (especially Newton's Second Law for FBDs).
Concept of Normal Force.
Free Body Diagrams (FBDs).
Basic vector addition and resolution.
Common mistakes
Confusing static friction with limiting friction; static friction can be less than its maximum value.
Incorrectly applying the direction of friction (it opposes relative motion, not necessarily the applied force).
Assuming friction is always constant; static friction varies, kinetic friction is constant.
Believing friction depends on the area of contact (it is largely independent for kinetic friction).
Not drawing correct Free Body Diagrams (FBDs) to identify normal force and applied forces.
Keywords
Friction
Static Friction
Kinetic Friction
Rolling Friction
Coefficient of Friction
Normal Force
Limiting Friction
Angle of Friction
Angle of Repose
Laws of Motion
Practice preview
What is the primary characteristic of the force of friction?…
easy
Which of the following factors does NOT significantly affect the magnitude of kinetic friction between two solid surfaces?…
easy
A block of mass M is placed on a rough horizontal surface. A horizontal force F is applied to the block, but the block remains at rest. What is the magnitude of the static friction force acting on the block?…
medium
