Frictional Force - Formula, Examples, Types, FAQs

Friction is a force which opposes relative movement between two objects coming into contact with each other. Such as it is caused by the roughness of the surface in contact and it functions in a direction opposite to the direction of motion. People interact with friction every day from walking, driving and writing to other undertakings. In this article, we will discuss Friction, the laws of friction and a brief overview of the types of friction

What is Friction?

When a body is placed on the surface of another body, then due to the irregularities in their surfaces, the contact between them occurs at a large number of points. at each point of contact, a small area of the two surfaces comes in contact with each other. At these points of contact, the atoms and molecules of the two surfaces come very close to each other and they attract strongly. When we try to move a body places over the other body, the bonds of attraction oppose the motion. This opposing force is recognized as the force of friction.

Definition of Friction

"Friction is a force that opposes a motion of one surface sliding or moving over another surface. It is caused by the roughness of the surface and always acts in opposite direction to the movement."

Laws of Friction

• The friction of the moving object is proportional to the normal force( numerically equal to the pressing force).

$f \propto N$

• The friction experienced by the object is dependent on the nature of the surface it is in contact with.
• Friction is independent of the area of contact as long as there is an area of contact(as for solid apparent area is not equal to the actual area of contact).
• It acts tangentially along with the contact.
• The direction of friction is always opposite to the direction of relative motion.
• It can be also defined as the component of contact force which is parallel to the surfaces in contact.

Friction is a dissipative force that is in most of the cases due to the frictional force there is the liberation of heat.

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Causes of friction

Suppose a body is moving above a surface from east to west then the direction of the frictional force will act in the opposite direction that is from west to east.

The frictional force will be less if the surface of interaction is small and smooth, for providing more friction the interacting surface should be rough.

The breaking of a vehicle moving on the road occurs by taking advantage of the frictional force between the tyres and the road. You can see that the tyres get worn out after running for a while this is due to the friction acting between the tyre and the road. The rougher the tyres are it will be much easy for the vehicle to stop and difficult to gain speed and move smoothly. We can see the math regarding the friction against the motion of vehicles on the road in the coming sections.

Types of Friction

There are different types of frictional forces depending upon the surfaces in contact they are. Let's discuss each type in brief:

Fluid friction

It is the friction that occurs between the layers of the fluids moving relative to the ground, it depends upon the type of fluid and is determined by using a term called viscosity the more viscous fluid have more friction and hence moves less slowly compared to a less viscous fluid.

Dry friction

If the motion between two hard solid surfaces is considered it is called dry friction.it is again divided as static friction and sliding friction based on the state as the objects whether it is moving or not, which will be discussed in detail in the next session.

Lubricated friction

It is the case where a lubricant is present in between the two solid surfaces

Internal friction

It is such a type of frictional force that can be seen in between the elements of a solid material; it can be molecular or atomic in nature.

Sliding friction

Sliding friction is the opposing force that occurs when one body attempts to slide across another's surface.

Static friction

Static friction is the friction between two solids that are not in relative motion with each other. The force that stops a vehicle wheel from sliding as it rolls on the ground is an example of static friction.

Dynamic friction

The friction that acts when a body is actually sliding over the surface of another body. Dynamic friction has another name called kinetic friction.

What is Frictional Force?

Frictional force is experienced due to the friction, it acts parallel to the surface in contact and opposes the relative motion.

S.I. Unit of Frictional force is Newton as it is also a kind of force.

Frictional force Formula

$F=\mu \times N$

Where,

where $\mu$ is the coefficient of friction and $N$ is the normal force.

How to Calculate Frictional Force?

Now let us consider a situation where we can see how to calculate the frictional force.

Suppose there is a block of wood that weighs 5 kg resting on a table to be pushed from the rest. Considering the coefficient of friction as 0.5 then calculate the frictional force.

Solution:

The Normal reaction , $\mathrm{N}=5 \mathrm{Kg} \times 9.8 \mathrm{~N} / \mathrm{kg}=49 \mathrm{~N} / \mathrm{Kg}$
Given, the coefficient of friction equal to, $\mu=0.5$
Then , the frictional force, $\mathrm{F}=49 \mathrm{~N} / \mathrm{Kg} \times 0.5=24.5 \mathrm{~N}$

We can define the coefficient of friction as the frictional force acting against a unit normal body

Frictional Force Examples

1. Rubbing of hands
2. The motion of a vehicle on the road
3. Dragging a box
4. Pushing a chair through the ground
5. Breaking system of cars
6. Viscous force on an object moving inside a fluid

Work done by Frictional Force

Case 1: Assume a person is walking on the ground forward then we have to find the work done by the frictional force on the person’s foot,

Equation of work is force times displacement
$\mathrm{W}=\mathrm{F} \times \mathrm{S}$
Here the person lifts his foot on walking and there is no displacement with respect to the ground when considering the relative motion so the work done by the friction, in this case, is zero
Ie, S = 0
Hence W = 0

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Case 2: Now assume the case of a box sliding over a rough surface then there is a frictional force acting opposite to the motion of the box

Here if we consider it as static friction, then the displacement is zero and hence the work done is also zero(work done by a force is dot product of force and displacement)
Now if the box is actually moving then the case here is of sliding friction,
Here, work, $W=-F \times S \times \operatorname{Cos} \theta$
$W=F_{\mathrm{t}} \times S \times \operatorname{Cos}$ (1800) since the force and the displacement is in opposite direction

$$
\begin{aligned}
& W=F_t \times S \times(-1) \\
& =-\left(F_t \times S\right)
\end{aligned}
$$

Where $F_t$ is the frictional force and $S$ is the displacement of the box relative due to the relative motion between the box and the surface.