Static friction and fraction of mass of rope that can hang.

AI Thread Summary
The discussion focuses on determining the fraction of a rope that can hang over the edge of a table before slipping occurs, given the coefficient of static friction (μ). Participants are encouraged to express their answers in terms of μ and to break down the problem into components. One user expresses difficulty in isolating the relevant variables and suspects the answer may simply be μ. The need for clarity in understanding the relationship between static friction and the mass distribution of the rope is emphasized. Assistance is sought to complete the final question of an online assignment effectively.
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Homework Statement



The coefficient of static friction between a rope and the table on which it rests is μ.
Find the fraction of the rope that can hang over the edge of the table before it begins to slip.
Express your answer in terms of μ.


Homework Equations





The Attempt at a Solution



i have tried to break all the equations i know into their parts like x and y components using just variables since no numbers are given but i just can't seem to isolate for something multiplied to μ. For some reason i think it is just μ but i do not truly understand why this would be if anyone could help it would be really appreciated as it is the last question in an online assignment and i have been working at it for quite some time. Thanks in advance.
 
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I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
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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