NEET Exam > NEET Questions > A heavy uniform chain lies on a horizontal ta...
Start Learning for Free
A heavy uniform chain lies on a horizontal table-top. If the coefficient of friction between the chain and table surface is 0.25, then the maximum fraction of length of the chain, that can hang one edge of the table is
- a)20%
- b)25%
- c)35%
- d)15%
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
A heavy uniform chain lies on a horizontal table-top. If the coefficie...
Given: Coefficient of friction between chain and table surface = 0.25
To find: Maximum fraction of length of chain that can hang one edge of the table
Solution:
1. Free body diagram of chain:
We can draw a free body diagram of the chain as shown below:
The weight of the chain acts downwards and is balanced by the normal reaction from the table surface. The chain also experiences a frictional force opposing its motion along the surface.
2. Equations of motion:
Let us consider a small section of the chain of length dx hanging off the edge of the table. The weight of this section can be given as:
dW = λg dx, where λ is the linear density of the chain (mass per unit length) and g is the acceleration due to gravity.
The frictional force acting on this section of the chain can be given as:
df = μN = μdW = μλg dx
where N is the normal reaction from the table surface and μ is the coefficient of friction.
The net force on this section of the chain can be given as:
dF = dW - df = (1-μ)λg dx
The maximum fraction of the chain that can hang off the edge of the table can be found by equating the net force on the last section of the chain to zero. This gives:
(1-μ)λg dx = 0
or
μ = 1
This means that the maximum fraction of the chain that can hang off the edge of the table is when the frictional force exactly balances the weight of the chain, i.e., when the coefficient of friction is equal to 1.
Substituting the given value of the coefficient of friction (μ = 0.25) in the above equation, we get:
(1-0.25)λg dx = 0
or
dx/dl = 0.2
where l is the total length of the chain.
Therefore, the maximum fraction of the length of the chain that can hang off the edge of the table is 0.2 or 20%.
Answer: Option A (20%)
To find: Maximum fraction of length of chain that can hang one edge of the table
Solution:
1. Free body diagram of chain:
We can draw a free body diagram of the chain as shown below:
The weight of the chain acts downwards and is balanced by the normal reaction from the table surface. The chain also experiences a frictional force opposing its motion along the surface.
2. Equations of motion:
Let us consider a small section of the chain of length dx hanging off the edge of the table. The weight of this section can be given as:
dW = λg dx, where λ is the linear density of the chain (mass per unit length) and g is the acceleration due to gravity.
The frictional force acting on this section of the chain can be given as:
df = μN = μdW = μλg dx
where N is the normal reaction from the table surface and μ is the coefficient of friction.
The net force on this section of the chain can be given as:
dF = dW - df = (1-μ)λg dx
The maximum fraction of the chain that can hang off the edge of the table can be found by equating the net force on the last section of the chain to zero. This gives:
(1-μ)λg dx = 0
or
μ = 1
This means that the maximum fraction of the chain that can hang off the edge of the table is when the frictional force exactly balances the weight of the chain, i.e., when the coefficient of friction is equal to 1.
Substituting the given value of the coefficient of friction (μ = 0.25) in the above equation, we get:
(1-0.25)λg dx = 0
or
dx/dl = 0.2
where l is the total length of the chain.
Therefore, the maximum fraction of the length of the chain that can hang off the edge of the table is 0.2 or 20%.
Answer: Option A (20%)
Free Test
FREE
| Start Free Test |
Community Answer
A heavy uniform chain lies on a horizontal table-top. If the coefficie...
Attention NEET Students!
To make sure you are not studying endlessly, EduRev has designed NEET study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in NEET.
|
Explore Courses for NEET exam
|
|
Top Courses for NEETView all
A heavy uniform chain lies on a horizontal table-top. If the coefficient of friction between the chain and table surface is 0.25, then the maximum fraction of length of the chain, that can hang one edge of the table isa)20%b)25%c)35%d)15%Correct answer is option 'A'. Can you explain this answer?
Question Description
A heavy uniform chain lies on a horizontal table-top. If the coefficient of friction between the chain and table surface is 0.25, then the maximum fraction of length of the chain, that can hang one edge of the table isa)20%b)25%c)35%d)15%Correct answer is option 'A'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A heavy uniform chain lies on a horizontal table-top. If the coefficient of friction between the chain and table surface is 0.25, then the maximum fraction of length of the chain, that can hang one edge of the table isa)20%b)25%c)35%d)15%Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A heavy uniform chain lies on a horizontal table-top. If the coefficient of friction between the chain and table surface is 0.25, then the maximum fraction of length of the chain, that can hang one edge of the table isa)20%b)25%c)35%d)15%Correct answer is option 'A'. Can you explain this answer?.
A heavy uniform chain lies on a horizontal table-top. If the coefficient of friction between the chain and table surface is 0.25, then the maximum fraction of length of the chain, that can hang one edge of the table isa)20%b)25%c)35%d)15%Correct answer is option 'A'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A heavy uniform chain lies on a horizontal table-top. If the coefficient of friction between the chain and table surface is 0.25, then the maximum fraction of length of the chain, that can hang one edge of the table isa)20%b)25%c)35%d)15%Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A heavy uniform chain lies on a horizontal table-top. If the coefficient of friction between the chain and table surface is 0.25, then the maximum fraction of length of the chain, that can hang one edge of the table isa)20%b)25%c)35%d)15%Correct answer is option 'A'. Can you explain this answer?.
Solutions for A heavy uniform chain lies on a horizontal table-top. If the coefficient of friction between the chain and table surface is 0.25, then the maximum fraction of length of the chain, that can hang one edge of the table isa)20%b)25%c)35%d)15%Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for NEET.
Download more important topics, notes, lectures and mock test series for NEET Exam by signing up for free.
Here you can find the meaning of A heavy uniform chain lies on a horizontal table-top. If the coefficient of friction between the chain and table surface is 0.25, then the maximum fraction of length of the chain, that can hang one edge of the table isa)20%b)25%c)35%d)15%Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A heavy uniform chain lies on a horizontal table-top. If the coefficient of friction between the chain and table surface is 0.25, then the maximum fraction of length of the chain, that can hang one edge of the table isa)20%b)25%c)35%d)15%Correct answer is option 'A'. Can you explain this answer?, a detailed solution for A heavy uniform chain lies on a horizontal table-top. If the coefficient of friction between the chain and table surface is 0.25, then the maximum fraction of length of the chain, that can hang one edge of the table isa)20%b)25%c)35%d)15%Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of A heavy uniform chain lies on a horizontal table-top. If the coefficient of friction between the chain and table surface is 0.25, then the maximum fraction of length of the chain, that can hang one edge of the table isa)20%b)25%c)35%d)15%Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A heavy uniform chain lies on a horizontal table-top. If the coefficient of friction between the chain and table surface is 0.25, then the maximum fraction of length of the chain, that can hang one edge of the table isa)20%b)25%c)35%d)15%Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice NEET tests.
|
|
Explore Courses for NEET exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup