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  • A uniform rope of length l lies on a table. If the coefficent of firction is  then the maximum length x of the part of this rope which can overh

A uniform rope of length l lies on a table. If the coefficent of firction is \mu then the maximum length x of the part of this rope which can overhang from the edge of the table without sliding down is

 

Option: 1

\frac{l}{\mu}


Option: 2

\frac{l}{\mu+1}


Option: 3

\frac{\mu l}{1+\mu}


Option: 4

\frac{\mu l}{1-\mu}


Answers (1)

best_answer

\frac{m_1}{m_2}=\frac{(l-x)}{x}

To prevent sliding 

m_2g=f=\mu m_1g

1=\mu \left (\frac{l-x}{x} \right )

\frac{1}{\mu} =\frac{l}{x}-1

\frac{1+\mu}{\mu} =\frac{l}{x}

x=\frac{l(\mu)}{1+\mu}

Posted by

manish painkra

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