Cofficient of static friction between table and rope

[Mitchlan]

Homework Statement

If the coefficient of static friction between an table and a uniform massive rope is $$\mu<s> what fraction of the rope can hang over the edge of the table without the rope sliding?<br /> <br /> <br /> <br /> b]2. Homework Equations [/b]<br /> <br /> <br /> <br /> <h2>The Attempt at a Solution</h2><br /> <br /> Frictional force keeping it on the table: F[f] = mu<s> (1-f) x m x g<br /> <br /> Gravity pulling it off the table: F[g]= f x m x g<br /> <br /> then: f x m x g = mu<s> (1-f) x m x g<br /> <br /> f= mu<s> - mu<s> x f<br /> <br /> therefore the fraction of rope is f = mu<s> / (1 + mu<s>) <br /> <br /> <br /> Thanks in advance!</s></s></s></s></s></s></s>$$

 

[issacnewton]

Yes its right. please do search the archives before asking a new question

https://www.physicsforums.com/showthread.php?t=99625

 

[Mitchlan]

Thanks for replying so soon. I did a quick search and couldn't find what I was looking for.

 

[issacnewton]

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