Cofficient of static friction between table and rope

AI Thread Summary
The discussion centers on calculating the fraction of a uniform massive rope that can hang over the edge of a table without sliding, given the coefficient of static friction (μs). The derived formula for this fraction is f = μs / (1 + μs). Participants emphasize the importance of understanding the balance between the frictional force and gravitational force acting on the rope. Additionally, users are encouraged to utilize Google search modifiers to efficiently find related discussions on the topic within the Physics Forums. The conversation highlights both the mathematical approach and the value of effective online research strategies.
Mitchlan
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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>
 
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Thanks for replying so soon. I did a quick search and couldn't find what I was looking for.
 
Use google modifiers to search physicsforums. if you want to search the phrase
" Cofficient of static friction" in physicsforums.com , do the following in google

" Cofficient of static friction site:physicsforums.com " without double quotes

this will search the phrase " Cofficient of static friction" from this site only. But this
will also return the pages where either of the words are found. So the results will contain the pages with word "Coefficient" or word "static" or the phrase "Cofficient of static" etc.Anyway, I got these results


Google is a VERY powerful search engine and you should exploit it fully. There are lot other
fun things you can do it. You can find more search modifiers on their website
 
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Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
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