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Q.

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

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a

25%

b

20%

c

35%

d

15%

answer is A.

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Detailed Solution

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Let l be the length hanging freely

For equilibrium :

μML-lLg=MlLg

μ(Ll)=LLll=1μ

Ll=1+μμ    lL=μ1+μ=15

Percentage hanging = 20%

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