Friction plays a vital role in our everyday lives. We are, for instance, able to walk or drive a car due to the presence of friction. The frictional force is a result of the interaction between atoms and molecules. At the surface, two objects may seem very smooth, but at a molecular scale, there are many rough areas that cause friction.
Explore our app and discover over 50 million learning materials for free.
Lerne mit deinen Freunden und bleibe auf dem richtigen Kurs mit deinen persönlichen Lernstatistiken
Jetzt kostenlos anmeldenNie wieder prokastinieren mit unseren Lernerinnerungen.
Jetzt kostenlos anmeldenFriction plays a vital role in our everyday lives. We are, for instance, able to walk or drive a car due to the presence of friction. The frictional force is a result of the interaction between atoms and molecules. At the surface, two objects may seem very smooth, but at a molecular scale, there are many rough areas that cause friction.
Sometimes, friction can be unwanted, and lubricants of different types are used to reduce it. For instance, in machines, where friction can wear out certain parts, oil-based lubricants are used to reduce it.
When an object is in motion or at rest on a surface or in a medium, such as air or water, there is a resistance that opposes its motion and tends to keep it at rest. This resistance is known as friction.
Although two surfaces that are in contact may seem very smooth, at a microscopic scale, there are many peaks and troughs that result in friction. In practice, it is impossible to create an object that has an absolutely smooth surface. According to the law of the conservation of energy, no energy in a system is ever destroyed. In this case, friction produces heat energy, which is dissipated through the medium and the objects themselves.
Friction is a type of contact force, and as such, it results from interatomic electric forces. On a microscopic scale, the surfaces of objects are not smooth; they are made of minuscule peaks and crevices. When the peaks slide against and run into each other, the electron clouds around the atoms of each object try to push away from each other. There could also be molecular bonds that form between parts of the surfaces to create adhesion, which also fights against movement. All these electric forces put together compose the general friction force that opposes sliding.
In a system, if all objects are stationary relative to an external observer, the frictional force produced between the objects is known as the static frictional force.
As the name suggests, this is the friction force (fs) that is in action when the objects in interaction are static. As the frictional force is a force like any other, it is measured in Newtons. The direction of the friction force is in the opposite direction to that of the applied force. Consider a block of mass m and a force F acting on it, such that the block remains at rest.
There are four forces acting on the object: the gravitational force mg, the normal force N, the static frictional force fs, and the applied force of magnitude F. The object will remain in equilibrium until the magnitude of the applied force is bigger than the frictional force. The frictional force is directly proportional to the normal force on the object. Hence, the lighter the object, the less the friction.
\[f_s \varpropto N\]
To remove the sign of proportionality, we have to introduce a proportionality constant, known as the coefficient of static friction, here denoted as μs.
However, in this case, there will be an inequality. The magnitude of the applied force will increase to a point after which the object will start moving, and we no longer have static friction. Thus, the maximum value of static friction is μs⋅N, and any value less than this is an inequality. This can be expressed as follows:
\[f_s \leq \mu_s N\]
Here, the normal force is \(N = mg\).
As we saw earlier, when the object is at rest, the frictional force in action is static friction. However, when the applied force is greater than the static friction, the object is no longer stationary.
When the object is in motion due to an external unbalanced force, the frictional force associated with the system is known as kinetic frictional force.
At the point where the applied force exceeds the static frictional force, kinetic friction comes into action. As the name suggests, it is associated with the motion of the object. Kinetic friction does not increase linearly as the applied force is increased. Initially, the kinetic frictional force decreases in magnitude and then remains constant throughout.
Kinetic friction can further be classified into three types: sliding friction, rolling friction, and fluid friction.
When an object can freely rotate around an axis (a sphere on an inclined plane), the frictional force in action is known as rolling friction.
When an object is undergoing motion in a medium such as water or air, the medium causes resistance which is known as fluid friction.
Fluid here does not only mean liquids as gases are also considered fluids.
When an object is not circular and can only undergo translational motion (a block on a surface), the friction produced when that object is in motion is called sliding friction.
All three types of kinetic friction can be determined using a general theory of kinetic friction. Like static friction, kinetic friction is also proportional to the normal force. The proportionality constant, in this case, is called the coefficient of kinetic friction.
\[f_k = \mu_k N\]
Here, μk is the coefficient of kinetic friction, while N is the normal force.
The values of μk and μs depend on the nature of the surfaces, with μk being generally less than μs. Typical values range from 0.03 to 1.0. It is important to note that the value of the coefficient of friction can never be negative. It may seem that an object with a greater area of contact will have a bigger coefficient of friction, but the weight of the object is evenly spread and so does not affect the coefficient of friction. See the following list of some typical coefficients of friction.
Surfaces | ||
Rubber on concrete | 0.7 | 1.0 |
Steel on steel | 0.57 | 0.74 |
Aluminium on steel | 0.47 | 0.61 |
Glass on glass | 0.40 | 0.94 |
Copper on steel | 0.36 | 0.53 |
Consider a block of mass m on a surface and an external force F applied parallel to the surface, which is constantly increasing until the block starts moving. We have seen how static friction and then kinetic friction come into action. Let us represent the frictional forces graphically as a function of the applied force.
As discussed earlier, the force applied is a linear function of static friction, and it increases to a certain value, after which kinetic friction comes into action. The magnitude of kinetic friction decreases until a certain value is attained. The value of friction then remains almost constant with the increasing value of external force.
Friction is calculated using the following formula, with \(\mu\) as the coefficient of friction and FN as the normal force:
\[|F_f| \leq \mu |F_n|\]
Each force has units of Newtons, N. This formula shows that the magnitude of the friction force depends on the coefficient of friction, as we discussed above, as well as the magnitude of the normal force. As the coefficient of friction or normal force increases, the friction force increases. This intuitively makes sense - when we push a box, it's harder to push when the surface is rougher and when the box is heavier.
Thus far, we have focused on objects on a horizontal surface. Now, let us consider an object at rest on an inclined plane, which forms an angle θ with the horizontal.
Considering all the forces acting on the object, we find that the gravitational force, friction, and the normal force are all the forces that need to be taken into consideration. As the object is in equilibrium, these forces should cancel each other out.
We can consider our Cartesian axes anywhere to make our calculations convenient. Let us imagine the axes along the inclined plane, as shown in figure 4. First, gravity is acting vertically downwards, so its horizontal component will be mg sinθ, which balances the static friction acting in the opposite direction. The vertical component of gravity will be mg cosθ, which is equal to the normal force acting on it. Writing the balanced forces algebraically, we get:
\[f_s = mg \sin \theta_c\]
\[N = mg \cos \theta\]
When the incline angle is increased until the block is on the verge of slipping, the force of static friction has reached its maximum value μsN. The angle in this situation is called the critical angle θc. Substituting this, we get:
\[\mu_s N = mg \sin \theta _c\]
The normal force is:
\[N = mg \cos \theta_c\]
Now, we have two simultaneous equations. As we are looking for the value of the coefficient of friction, we take the ratio of both the equations and get:
\[\frac{\mu_s N}{N} = \frac{mg \sin \theta_c}{mg \cos \theta_c} \qquad \mu_s = \tan \theta_c\]
Here, θc is the critical angle. As soon as the angle of the inclined plane exceeds the critical angle, the block will start moving. So, the condition for the block to stay in equilibrium is:
\[\theta \leq \theta_c\]
When the incline exceeds the critical angle, the block will start accelerating downwards, and kinetic friction will come into action. It can thus be seen that the value of the coefficient of friction can be determined by measuring the angle of the inclination of the plane.
A hockey puck, which is resting on the surface of a frozen pond, is pushed with a hockey stick. The puck remains stationary, but it is noticed that any more force will set it in motion. The mass of the puck is 200g, and the coefficient of friction is 0.7. Find the frictional force acting on the puck (g = 9.81 m/s2).
As the puck will start moving with a little more force, the value of static friction will be maximum.
\(f_s = \mu_s N\)
\(N = mg\)
This gives us:
\(f_s =\mu_s mg\)
Substituting all the values, we get:
\(f_s = 0.7(0.2 kg) (9.81 m/s^2)\)
\(f_s = 1.3734 N\)
We have thus determined the friction force acting on the puck while it is at rest.
If an object is moving on a surface, it will begin to slow down due to friction. The greater the frictional force is, the more quickly the object will slow down. For instance, there is a very small amount of friction acting on the skates of ice skaters, allowing them to glide easily around an ice rink without significant deceleration. On the other hand, there is a very large amount of friction acting when you try to push an object over a rough surface - such as a table across a carpeted floor.
It would be extremely difficult to move without friction; you probably know this already, because when you try to walk over ground covered in ice and attempt to push off against the ground behind you, your foot will slip from beneath you. When you walk, you push your foot against the ground in order to propel yourself forwards. The actual force pushing you forwards is the frictional force of the ground on your foot. Cars move in a similar way, the wheels push back on the road at the point on the bottom where they are in contact with it and the friction from the road surface pushes in the opposite direction, causing the car to move forward.
If you rub your hands together, or against the surface of a desk, you will experience a frictional force. If you move your hand fast enough you will notice it becomes warm. Two surfaces will become heated as they are rubbed together and this effect will be greater if they are rough surfaces.
The reason that two surfaces become heated when they experience friction is that the frictional force is doing work and converting energy from the kinetic energy store in the movement of your hands to the thermal energy store of your hands. As the molecules that make up your hand rub together, they gain kinetic energy and begin to vibrate. This kinetic energy associated with the random vibrations of molecules or atoms is what we refer to as thermal energy or heat.
Air resistance can also cause objects to become very hot due to the thermal energy released. For instance, space shuttles are covered in heat-resistant material in order to protect them from burning up. This is due to the large increases in temperature as a result of air resistance they experience when they travel through the Earth's atmosphere.
Another effect of friction is that it can cause two surfaces to become damaged if they are easily deformed. This can actually be useful in some cases:
When erasing a pencil mark from a piece of paper, the rubber will create friction by rubbing against the paper and a very thin layer of the top surface will be removed so that the mark is essentially erased.
One of the interesting effects of drag is terminal velocity. An example of this is an object falling from a height down to the earth. The object feels the gravitational force due to the earth and it feels an upwards force due to air resistance. As its speed increases, the frictional force due to air resistance also increases. When this force becomes large enough so that it is equal to the force due to gravity, the object will no longer be accelerating and will have reached its maximum speed - this is its terminal velocity. All objects would fall at the same rate if they did not experience air resistance.
The effects of air resistance can also be seen in the example of the top speed of cars. If a car is accelerating with the maximum driving force that it can produce, the force due to air resistance will increase as the car moves faster. When the driving force is equal to the sum of the forces due to air resistance and friction with the ground, the car will have reached its top speed.
When two or more objects are in contact or surrounded by a medium, there is a resistive force that tends to oppose any motion. This is known as friction.
Heat energy.
Friction is caused by the interaction between molecules of different objects at a microscopic level.
Lubricants of various types are used to reduce friction.
The three types of kinetic friction are sliding friction, rolling friction, and fluid friction.
What is the cause of the frictional force between two objects?
It is the interaction between the surfaces at a microscopic level that causes friction between two objects.
How many types of frictional forces are there, and what are they called?
There are two types of frictional forces: static and kinetic friction.
What is the frictional force in action when an object is stationary?
Static friction.
What type of friction is produced when an object is in motion?
Kinetic friction.
On which physical aspect of the object is the coefficient of friction based?
On the nature of the surface of the object.
If the area of contact between two objects is doubled, how will this change the force of friction?
The frictional force will remain unchanged because friction is independent of the area of contact between the surfaces.
Already have an account? Log in
Open in AppThe first learning app that truly has everything you need to ace your exams in one place
Sign up to highlight and take notes. It’s 100% free.
Save explanations to your personalised space and access them anytime, anywhere!
Sign up with Email Sign up with AppleBy signing up, you agree to the Terms and Conditions and the Privacy Policy of StudySmarter.
Already have an account? Log in
Already have an account? Log in
The first learning app that truly has everything you need to ace your exams in one place
Already have an account? Log in