Home
Class 11
PHYSICS
A uniform chain of length L and mass M i...

A uniform chain of length `L` and mass `M` is tying on a smoth table and one third of its length is banging vertically down table the edge of the table if g is acceleration the to gravity , the work required to pull the hanging part on the table is

Text Solution

Verified by Experts

Here, Weight of length `L` of the chain `=Mg`
Weight of length `(L)/(3)` of the chain which is hanging
`=(1)/(3)Mg`
The centre of gravity of the hanging part lies at its middle point, i.e.,, at a distance `=L//6` below the edge of the table.
Work required to pull the hanging part on the table,
`W=` force `xx` distance `=((1)/(3)Mg)xx(L)/(6)=(MgL)/(18)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • WORK, ENERGY AND POWER

    PRADEEP|Exercise NCERT( Multiple choide questions-1)|21 Videos

  • WORK, ENERGY AND POWER

    PRADEEP|Exercise JEE (Main and Advanced)|82 Videos

  • WORK, ENERGY AND POWER

    PRADEEP|Exercise Fill in the blanks|10 Videos

  • THERMODYNAMICS

    PRADEEP|Exercise Assertion- Reason Type Questions|19 Videos

Similar Questions

Explore conceptually related problems

A uniform chain of length L and mass M is lying on a smooth table and one third of its length is hanging vertically down over the edge of the table. If g is acceleration due to gravity, calculate work required to pull the hanging part on the table.

A uniform chain of length L and mass m is lying on a smooth table. One-third of its length is hanging vertically down over the edge of the table. How much work need to be done to pull the hanging part back to the table?

Knowledge Check

  • A uniform chain of length L and mass M is lying on a smooth table and one-third of its length is hanging vertically down over the edge of the table. If g is the acceleration due to gravity, the work required to pull the hanging part on to the table is

    A
    `MgL`
    B
    `MgL//3`
    C
    `MgL//9`
    D
    `MgL//18`

  • A uniform chain of length L and mass M is lying on a smooth table and one third of its length is hanging vertically down over the edge of the table. If g is acceleration due to gravity, work required to pull the hanging part on to the table is

    A
    `MgL`
    B
    `(MgL)/2`
    C
    `(MgL)/9`
    D
    `(MgL)/18`

  • A uniform chain of length l and mass m is placed on a smooth table with one-fourth of its length hanging over the edge. The work that has to be done to pull the whole chain back onto the table is :

    A
    `1/4 m gl`
    B
    `1/8 m gl`
    C
    `1/16 m gl`
    D
    `1/32 mgl`

    • Similar Questions

    Explore conceptually related problems

    A uniform chain is held on a frictionless table with one third of its length hanging over the edge. IF the chain has a length l and a mass m, how much work is required to pull the hanging part back on the table ?

    A chain is held on a frictionless table with 1//n th of its length hanging over the edge. If the chain has a length L and a mass M, how much work is required to pull the hanging part back on the table?

    A uniform chain of mass m and length l is lying on a horizontal table with one-third of its length hanging over the edge of the table. What is the speed of the chain, when it just loses contact with the table?

    A unifrom chain of mass M and length L lies on a table with nth part of it hanging off the table. Find the work required to slowly pull the hanging part up to the table.

    A uniform chain has mass Mand length L. It is lying on a smooth horizontal table with half of its length hanging vertically downward. The work done in pulling the chain up the table is:

    Home
    Profile