Answer
418.2k+ views
Hint: In this question we have been given that an iron chain on a table starts sliding down when one fourth of its length hangs over the edge of the table. We have been asked to calculate the static friction between the surface of the table and the chain. Static friction is the limiting frictional force above which the object starts to slide or move on a surface. We know that the maximum static friction will be equal to the weight of the hanging chain. Since the weight of the hanging chain is the force that is opposed by the static friction.
Complete answer:
It is given that one fourth of the length of chain is hanging from the side of the table as shown in the figure below.
Now, let us assume that the chain has uniformly distributed mass. Therefore, we can say that one fourth of the mass of the chain is hanging from the side of the table.
Therefore,
Weight of chain hanging from the table \[=\dfrac{mg}{4}\]
Similarly,
Weight of chain on the table \[=\dfrac{3mg}{4}\]
Now, we know that
\[F=\mu N\] ……………… (1)
Where, F is the frictional force, N is the normal reaction and \[\mu \]is the coefficient of friction.
We know that
\[N=\dfrac{3mg}{4}\] ………………….. (2)
We also know that, the maximum frictional force is equal to the weight of the hanging chain
Therefore,
\[F=\dfrac{mg}{4}\] …………… (3)
Therefore, from (1), (2) and (3)
We get,
\[\dfrac{mg}{4}=\mu \dfrac{3mg}{4}\]
On solving
We get,
\[\mu =\dfrac{1}{3}\]
Therefore, the correct answer is option B.
Note:
When we try to move an object, we experience a friction force. This force is known as static friction force. The static friction force keeps the object at rest. Therefore, it opposes motion. The friction force experienced when on a moving object is known as dynamic friction force. This force acts opposite to the direction of the motion of the object.
Complete answer:
It is given that one fourth of the length of chain is hanging from the side of the table as shown in the figure below.
![seo images](https://www.vedantu.com/question-sets/149e9b2c-5ad7-42d2-b023-2b567cce3d31559839295380419447.png)
Now, let us assume that the chain has uniformly distributed mass. Therefore, we can say that one fourth of the mass of the chain is hanging from the side of the table.
Therefore,
Weight of chain hanging from the table \[=\dfrac{mg}{4}\]
Similarly,
Weight of chain on the table \[=\dfrac{3mg}{4}\]
Now, we know that
\[F=\mu N\] ……………… (1)
Where, F is the frictional force, N is the normal reaction and \[\mu \]is the coefficient of friction.
We know that
\[N=\dfrac{3mg}{4}\] ………………….. (2)
We also know that, the maximum frictional force is equal to the weight of the hanging chain
Therefore,
\[F=\dfrac{mg}{4}\] …………… (3)
Therefore, from (1), (2) and (3)
We get,
\[\dfrac{mg}{4}=\mu \dfrac{3mg}{4}\]
On solving
We get,
\[\mu =\dfrac{1}{3}\]
Therefore, the correct answer is option B.
Note:
When we try to move an object, we experience a friction force. This force is known as static friction force. The static friction force keeps the object at rest. Therefore, it opposes motion. The friction force experienced when on a moving object is known as dynamic friction force. This force acts opposite to the direction of the motion of the object.
Recently Updated Pages
Mark and label the given geoinformation on the outline class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
When people say No pun intended what does that mea class 8 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Name the states which share their boundary with Indias class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give an account of the Northern Plains of India class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Advantages and disadvantages of science
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
10 examples of evaporation in daily life with explanations
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Write a letter to the principal requesting him to grant class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
How do you graph the function fx 4x class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)