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Q.

A uniform rope of length I lies on a table. If the coefficient of friction is 'μ', then the maximum length l1 of the part of this rope which can overhang from the edge of the table without sliding down is:

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a

1μ

b

1μ+1

c

μlμ+1

d

μlμ−1

answer is C.

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Detailed Solution

weight of the hanging part = frictional force on the tableif l1part is hanging its weight =MLl1g L-l1 is on the table and frictional force due to this = μMLL-l1g MLl1g=μMLL-l1g l1=μL-l1  l11+μ=μL l1=μL1+μ
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