
A chain of mass m and length L is over hanging from the edge of a smooth horizontal table such that 3/4th of its length is lying on the table. The work done in pulling the chain completely on to the table is:
(A)
(B)
(C)
(D)
Answer
459.9k+ views
1 likes
Hint: We are looking for the work done in this problem. This could be calculated with the basic formula given by and integrating it up to the limit as force is not constant throughout.
Formula used: To calculate the amount of force, we use the equation:
Here, is the small amount of work being done,
is the force applied.
is the small displacement,
Complete step by step answer:
It is already known that the weight of the hanging part of chain is .
The weight acts at the centre of gravity of the hanging part which is at a distance of from the table.
On solving further,
So, we need to see from the above options, and select the correct value.
Thus, the correct answer is option B.
Additional Information: A force is said to do work when it acts on a body so that there is a displacement of the point of application in the direction of the force. Thus, a force does work when it results in movement. The same integration approach can be also applied to the work done by a constant force. This suggests that integrating the product of force and distance is the general way of determining the work done by a force on a moving body.
Note: The examples of variable force can be seen everywhere as all forces in the world are not constant. Constant force is just an ideal situation used in solving questions. Work may still be calculated as the area under the force- displacement curve.
Formula used: To calculate the amount of force, we use the equation:
Here,
Complete step by step answer:
It is already known that the weight of the hanging part
The weight acts at the centre of gravity of the hanging part which is at a distance of
On solving further,
So, we need to see from the above options, and select the correct value.
Thus, the correct answer is option B.
Additional Information: A force is said to do work when it acts on a body so that there is a displacement of the point of application in the direction of the force. Thus, a force does work when it results in movement. The same integration approach can be also applied to the work done by a constant force. This suggests that integrating the product of force and distance is the general way of determining the work done by a force on a moving body.
Note: The examples of variable force can be seen everywhere as all forces in the world are not constant. Constant force is just an ideal situation used in solving questions. Work may still be calculated as the area under the force- displacement curve.
Latest Vedantu courses for you
Grade 11 Science PCM | CBSE | SCHOOL | English
CBSE (2025-26)
School Full course for CBSE students
₹41,848 per year
Recently Updated Pages
Master Class 11 Economics: Engaging Questions & Answers for Success

Master Class 11 Business Studies: Engaging Questions & Answers for Success

Master Class 11 Accountancy: Engaging Questions & Answers for Success

Master Class 11 English: Engaging Questions & Answers for Success

Master Class 11 Computer Science: Engaging Questions & Answers for Success

Master Class 11 Maths: Engaging Questions & Answers for Success

Trending doubts
State and prove Bernoullis theorem class 11 physics CBSE

What are Quantum numbers Explain the quantum number class 11 chemistry CBSE

Write the differences between monocot plants and dicot class 11 biology CBSE

1 ton equals to A 100 kg B 1000 kg C 10 kg D 10000 class 11 physics CBSE

State the laws of reflection of light

One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE
