Q.

A uniform rope of length L 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 l1 part is hanging its weight =MLI1gL−I1is on the table and frictional force due to this =μMLL−I1gMLI1g=μMLL−I1gI1=μL−I1I1(1+μ)=μLI1=μL1+μ
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