Q.

A uniform rope of length L lies on a table. If the coefficient of friction is µ , the maximum fractional length of the hanging part of the rope from the edge of the table without sliding down is

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a

Lμ

b

Lμ+1

c

d

answer is C.

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Detailed Solution

Suppose Length of the hanging part is 'x' . Therefore length of chain lying on the table is (L-x). If λ be the mass per unit length of the chain , thenλx.g = µ(λ (L-x)g)⇒ x/L = (µ / 1+µ )
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A uniform rope of length L lies on a table. If the coefficient of friction is µ , the maximum fractional length of the hanging part of the rope from the edge of the table without sliding down is