JEE Exam > JEE Questions > A chain of mass m and length l is placed on a...
Start Learning for Free
A chain of mass m and length l is placed on a table with one-sixth of it hanging freely from the table
edge. The amount of work done to pull the chain on the table is-
edge. The amount of work done to pull the chain on the table is-
- a)mgl/4
- b)mgl/6
- c)mgl/72
- d)mgl/36
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A chain of mass m and length l is placed on a table with one-sixth of ...
Most Upvoted Answer
A chain of mass m and length l is placed on a table with one-sixth of ...
To calculate the work done to pull the chain on the table, we need to consider the gravitational potential energy of the hanging part of the chain.
1. Analysis of the Situation:
- A chain of mass m and length l is placed on a table.
- One-sixth of the chain is hanging freely from the table edge.
- The chain is being pulled on the table.
2. Determining the Height of the Hanging Chain:
- As one-sixth of the chain is hanging freely, we can consider it as a separate object.
- The length of this hanging chain is (1/6) * l.
- To determine the height of this hanging chain, we need to calculate the vertical displacement of its center of mass from the table.
- The center of mass of the hanging chain is located at half of its length, which is (1/2) * (1/6) * l = (1/12) * l from the table.
- Therefore, the height of the hanging chain is (1/12) * l.
3. Calculating the Work Done:
- The work done to pull the chain on the table is equal to the change in gravitational potential energy.
- The change in potential energy is given by the formula: ΔPE = m * g * Δh, where m is the mass, g is the acceleration due to gravity, and Δh is the change in height.
- In this case, the mass of the hanging chain is (1/6) * m, and the change in height is (1/12) * l.
- Therefore, the work done is: ΔPE = (1/6) * m * g * (1/12) * l.
- Simplifying the expression, we get: ΔPE = (1/72) * m * g * l.
- Comparing this with the given options, we can see that the correct answer is option 'C': m * g * l / 72.
Thus, the amount of work done to pull the chain on the table is m * g * l / 72, as mentioned in option 'C'.
1. Analysis of the Situation:
- A chain of mass m and length l is placed on a table.
- One-sixth of the chain is hanging freely from the table edge.
- The chain is being pulled on the table.
2. Determining the Height of the Hanging Chain:
- As one-sixth of the chain is hanging freely, we can consider it as a separate object.
- The length of this hanging chain is (1/6) * l.
- To determine the height of this hanging chain, we need to calculate the vertical displacement of its center of mass from the table.
- The center of mass of the hanging chain is located at half of its length, which is (1/2) * (1/6) * l = (1/12) * l from the table.
- Therefore, the height of the hanging chain is (1/12) * l.
3. Calculating the Work Done:
- The work done to pull the chain on the table is equal to the change in gravitational potential energy.
- The change in potential energy is given by the formula: ΔPE = m * g * Δh, where m is the mass, g is the acceleration due to gravity, and Δh is the change in height.
- In this case, the mass of the hanging chain is (1/6) * m, and the change in height is (1/12) * l.
- Therefore, the work done is: ΔPE = (1/6) * m * g * (1/12) * l.
- Simplifying the expression, we get: ΔPE = (1/72) * m * g * l.
- Comparing this with the given options, we can see that the correct answer is option 'C': m * g * l / 72.
Thus, the amount of work done to pull the chain on the table is m * g * l / 72, as mentioned in option 'C'.
Attention JEE Students!
To make sure you are not studying endlessly, EduRev has designed JEE study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in JEE.
|
Explore Courses for JEE exam
|
|
Similar JEE Doubts
Top Courses for JEEView all
A chain of mass m and length l is placed on a table with one-sixth of it hanging freely from the tableedge. The amount of work done to pull the chain on the table is-a)mgl/4b)mgl/6c)mgl/72d)mgl/36Correct answer is option 'C'. Can you explain this answer?
Question Description
A chain of mass m and length l is placed on a table with one-sixth of it hanging freely from the tableedge. The amount of work done to pull the chain on the table is-a)mgl/4b)mgl/6c)mgl/72d)mgl/36Correct answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A chain of mass m and length l is placed on a table with one-sixth of it hanging freely from the tableedge. The amount of work done to pull the chain on the table is-a)mgl/4b)mgl/6c)mgl/72d)mgl/36Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A chain of mass m and length l is placed on a table with one-sixth of it hanging freely from the tableedge. The amount of work done to pull the chain on the table is-a)mgl/4b)mgl/6c)mgl/72d)mgl/36Correct answer is option 'C'. Can you explain this answer?.
A chain of mass m and length l is placed on a table with one-sixth of it hanging freely from the tableedge. The amount of work done to pull the chain on the table is-a)mgl/4b)mgl/6c)mgl/72d)mgl/36Correct answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A chain of mass m and length l is placed on a table with one-sixth of it hanging freely from the tableedge. The amount of work done to pull the chain on the table is-a)mgl/4b)mgl/6c)mgl/72d)mgl/36Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A chain of mass m and length l is placed on a table with one-sixth of it hanging freely from the tableedge. The amount of work done to pull the chain on the table is-a)mgl/4b)mgl/6c)mgl/72d)mgl/36Correct answer is option 'C'. Can you explain this answer?.
Solutions for A chain of mass m and length l is placed on a table with one-sixth of it hanging freely from the tableedge. The amount of work done to pull the chain on the table is-a)mgl/4b)mgl/6c)mgl/72d)mgl/36Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of A chain of mass m and length l is placed on a table with one-sixth of it hanging freely from the tableedge. The amount of work done to pull the chain on the table is-a)mgl/4b)mgl/6c)mgl/72d)mgl/36Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A chain of mass m and length l is placed on a table with one-sixth of it hanging freely from the tableedge. The amount of work done to pull the chain on the table is-a)mgl/4b)mgl/6c)mgl/72d)mgl/36Correct answer is option 'C'. Can you explain this answer?, a detailed solution for A chain of mass m and length l is placed on a table with one-sixth of it hanging freely from the tableedge. The amount of work done to pull the chain on the table is-a)mgl/4b)mgl/6c)mgl/72d)mgl/36Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of A chain of mass m and length l is placed on a table with one-sixth of it hanging freely from the tableedge. The amount of work done to pull the chain on the table is-a)mgl/4b)mgl/6c)mgl/72d)mgl/36Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A chain of mass m and length l is placed on a table with one-sixth of it hanging freely from the tableedge. The amount of work done to pull the chain on the table is-a)mgl/4b)mgl/6c)mgl/72d)mgl/36Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE 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