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Friction

topicmedium9 MCQ

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