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  4. 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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Q. A uniform rope of length $ l $ lies on a table. If the coefficient of friction is $ \mu $ then the maximum length $ {{l}_{1}} $ of the part of this rope which can overhang from the edge of the table without sliding down is

Rajasthan PMTRajasthan PMT 2009

Solution:

The length of the rope which can overhang from the edge of the table without sliding down is given by $ {{l}_{1}}=\left( \frac{\mu }{1+\mu } \right)l $