K326 / K327 / 2027
Dynamics overview

Topic 4 of 4

Friction and motion

Friction acts between surfaces in contact. It opposes their relative sliding, or their tendency to slide.

Always identify the body whose force you are describing. The direction of friction must follow the particular contact, just like any other force on a free-body diagram.

Friction can slow a sliding object

A box slides to the right across a stationary floor. Its lower surface slides right relative to the floor, so friction from the floor on the box acts left. If this is the only horizontal force, the resultant is leftwards and the box slows.

Friction on a box sliding right

Selected body: box

The box slides right over a stationary horizontal floor.

Friction on a box sliding rightThe selected body is the sliding box. Friction from the floor acts left, opposing the box sliding right relative to the floor. The floor supports the box upwards and Earth pulls it downwards. The vertical forces balance. Arrow lengths are schematic.Supportby floorWeightby EarthFrictionby floor

Friction opposes the relative sliding at this contact. Arrow lengths are schematic.

The box moves right relative to the floor. Friction on the box acts left. The motion is stated separately from the force arrows.

If you pull the box steadily across the same floor, the pull can balance friction. The box then moves at constant velocity even though both horizontal forces are present.

Friction can prevent sliding

A gentle horizontal push does not always make a box move. Static friction can balance the push while the surfaces remain at rest relative to each other. For example, if a 2 N push is balanced by 2 N of friction, the horizontal resultant is zero.

Static friction adjusts to the situation up to a limit. Increasing the push may increase the balancing friction while the box remains still; it does not mean friction always has one fixed magnitude. If the available friction cannot balance the push, the box starts sliding.

Friction can help you move forwards

As you push off to start walking forwards, your planted foot pushes backwards on the ground. The foot would tend to slip backwards without enough grip. Friction from the ground on the foot acts forwards, helping accelerate you forwards.

Friction helps a person start walking

Selected body: planted foot

When pushing off, the foot tends to slip backwards (left) over the ground.

Friction helps a person start walkingThe selected body is the planted foot of a person starting to walk forwards, to the right. The foot tends to slip backwards over the ground. Friction on the foot by the ground acts forwards, to the right. Only this friction force is shown; other forces on the foot are omitted.Friction on footby ground

Ground-on-foot friction acts forwards. Only this contact force is shown.

During this push-off, the ground exerts forward friction on the foot. The shoe grips without sliding; friction opposes its tendency to slip backwards.

This is why "friction always opposes the object's motion" is too broad. In the sliding-box case it acts backwards; in this walking case it acts forwards. In both, the direction follows the relative sliding or tendency to slide at the contact.

Grip, braking and resistance

Friction provides grip between a tyre and the road. Friction between brake pads and a rotating wheel or brake disc helps slow the rotation. It can also cause unwanted wear and resistance in moving machine parts. Reducing friction can make some movements easier, while reducing grip where it is needed can make slipping more likely.

Air resistance is a resistive force from the surrounding air. Its direction opposes motion relative to the air. An object falling downwards through still air experiences upward air resistance.

Optional explanation: a box stays still under a 3 N horizontal push

Assume the floor's friction is the only other horizontal force. What is the friction on the box, and why?

The box remains at rest, so horizontal acceleration and resultant force are zero. Friction is therefore 3 N opposite to the push. There is no horizontal motion, but there is still a force of friction.