Home
Class 12
PHYSICS
A uniform chain of mass m and length I ...

A uniform chain of mass m and length I is kept on the table with a part of it overhanging (see figure). If the coefficient of friction between the table and the chain is `1//3` then find the maximum length of the chain that can overhang such that the chain remain in equilibrium.

A

`L//3`

B

`L//2`

C

`L//4`

D

`2L//3`

Text Solution

Verified by Experts

The correct Answer is:
C

Let x be the length of the overhanging part
`f_(r)=mu[(m)/(L)(L-x)g]`
`T=f_(r)`
`T=(m)/(L)xxg`
`rArr mu((m)/(L))(L-x)g=(m)/(L) g x`
`rArr (1)/(3)(L-x)=x rArr x =(L)/(4)`
Promotional Banner

Similar Questions

Explore conceptually related problems

A rough inclined plane is inclined at 30° to the horizontal as shown in the figure. A uniform chain of length L is partly on the inclined plane and partly hanging from the top of the incline. If the coefficient offriction between chain and inclined plane is mu , the maximum length of the lianging part to prevent the chain from falling vertically is:

A homogoneous chain of length L lies on a table. The coefficient of friction between the chain and the table is mu . The maximum length which can hang over the table in equilibrium is

A heavy uniform metal chain is kept on the surface of a horizontal table. The coefficient of friction between the chain and the table surface is 0.02 . Find the maximum fraction of length of the chain that could hung over on one edge of the table ?

A heavy uniform chain lies on horizontal table top. If the coefficient of friction between the chain and the table surface is 0.25, then the maximum fraction of the length of the chain that can hang over one edge of the table is

A heavy uniform chain lies on horizontal table top. If the co-efficient of friction between the chain and the table surface is 0.5, the maximum percentage of the length of the chain that can hang over one edge of the table is

A uniform chain of length 2m is kept on a table such that a length of 60 cm hangs freely from the edge of the table . The total mass of the chain is 4 kg What is the work done in pulling the entire the chain the on the table ?

A chain is placed on a rough table, partially hanging, as shown in the figure. The coefficient of static friction between the chain and the table is mu = 0.4. If the maximum possible length of the hanging part is x and the length of the chain is L, then what is the value of (L)/(x) ?

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 block of mass m kept on rough horizontal turn table at a distance x from the centre. If the coefficient of friction between the table and block is mu then maximum speed of point P on turn table so that the block does not slip is

A uniform chain of length L and mass M overhangs a horizontal table with its two third part n the table. The friction coefficient between the table and the chain is mu . Find the work done by the friction during the period the chain slips off the table.