A uniform chain of mass M and length L lies on a horizontal table such that one third of its length hangs from the edge of the table. The work done is pulling the hanging part on the table will be?

(with explaination plz)

Open in App

Solution

Work Done = mass of chain hanged * g * distance of chain from centre of mass of hanged part of chain
So, work done = M/3 * g * L/(3*2)
(This length is taken L/6 NOT L/3 becoz distance is taken from centre of mass,height that you raise the center of mass is 1/2 the length, which makes L/6 not L/3
)
So, WORK DONE = MgL/18

hope it helps

Suggest Corrections

Similar questions

A uniform chain of mass $m$ and length $l$ is lying on a frictionless horizontal table with one-third of its length hanging over the edge of the table. The amount of work done to pull the hanging part of the chain up to the table is given by

Q. A uniform chain of mass

m

and length

L

hangs on a table with two thirds of its length on the table. The work done by a person to put the hanging part back on the table will be

Q. A uniform chain has a mass

m

and length

l

. It is held on a frictionless table with two third of its length hanging over the edge. Find the work done in just pulling the hanging part back on the table.

Q. A uniform chain of length

l

and mass

m

lying on a smooth table and one third of its length is hanging vertically down over the edge of the table. How much work need be done to pull the hanging part back to the table ?

A uniform chain of mass $M$ and length $L$ is held on a horizontal frictionless table with $\frac{1}{n^{t h}}$ of its length hanging over the edge of the table. The work done is pulling the chain up on the table is

Join BYJU'S Learning Program

A uniform chain of mass M and length L lies on a horizontal table such that one third of its length hangs from the edge of the table. The work done is pulling the hanging part on the table will be? (with explaination plz)

A uniform chain of mass M and length L lies on a horizontal table such that one third of its length hangs from the edge of the table. The work done is pulling the hanging part on the table will be?

(with explaination plz)