The concept of friction is very important in our daily lives, friction makes our lives easy as well as tough. If we push a glass on the table with a certain initial velocity, it eventually comes to rest. What is the reason why glass stops after a certain velocity? Aristotle said every moving object should come to rest and Galileo said but what is the reason that a moving object comes to rest there is something that stops the object. A force that stops the moving object after a certain distance. This is friction, It is a force. Meaning of the friction is the resistance represented by a single force.
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So, the Definition of friction is the opposing force that comes into play tangentially between two surfaces so as to destroy the relative motion acting between two surfaces is called friction. Whenever the surfaces of the body slide over the surface of another body each body exerts the frictional force on the other which is parallel to the surface in contact. It is always opposed to relative motion. Friction produces heat, sound or both.
The frictional force is one of the most important forces responsible for various daily life activities:
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Static friction: When we apply a small horizontal force F, the block does not move. The friction force that comes into play when a body is just about to start ( but the body is not moving ) over the surface of another body is called static frictional force.
If F is applied force on the body and the body remains at rest then static friction $\mathrm{f}_{\mathrm{s}}=\mathrm{F}$.
Limiting friction: The maximum value of the static frictional force which comes into play when a body just begins to slide over the surface of another body is called limiting frictional force.
$$
\begin{aligned}
& f_{s*} \propto
& f_s=\mu_s R
\end{aligned}
$$
where $\mu \mathrm{s}$ is called the coefficient of static or limiting friction.
The coefficient of static friction is defined as the ratio of limiting friction to the normal reaction.
$$
\mu_{\mathrm{s}}=\mathrm{f}_{\mathrm{s}} / \mathrm{R}
$$
The coefficient of static friction is defined as the ratio of limiting friction to the normal reaction.
$\mu_{\mathrm{s}}=\mathrm{f}_{\mathrm{s}} / \mathrm{R}$
The static friction is greater than zero and smaller than limiting friction.
kinetic friction: When the motion starts the frictional force acting between the surfaces decreases so that the smallest force f is equal to maintain uniform motion. The force acting between the two surfaces in relative motion is called the Kinetic frictional force fk. It is less than the limiting friction because once the motion starts block can easily move and there is less friction force. It is proportional to the normal reaction R.
$\begin{aligned} & f_k \propto \mathrm{R} \\ & f_k=\mu_k R\end{aligned}$
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There are two types of kinetic friction
Rolling friction is directly proportional to the normal reaction R and the load and inversely proportional to the radius of curvature. Consider the formula:
$f_{\text {rolling }}=\mu_{\mathrm{r}} \mathrm{R} / \mathrm{r}$
where $\mu_r$ is called the coefficient of rolling friction.
In our daily life, there are many applications of friction. Friction makes our lives easy and also makes our lives difficult.
We cannot have zero surfaces. We can only reduce the friction but we cannot reduce it to zero. It is not possible.
Given: F = 98N
The block is on rest then fs = F = 98N
μs = fs / R = fs/ mg
μs = 98N/ 20kg* 9.8ms^-2 = 0.5
No doubt friction opposes the motion of a moving body but it also causes the motion.
(i) In walking, a person pushes the ground backward
( action) and the rough surface of the ground reacts and exerts a forward force due to friction which causes the motion.
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