What is the solution to the Hanging Chain Problem?

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The discussion centers on solving the Hanging Chain Problem, where a uniform chain hangs over a table edge. The objective is to prove that the time taken for the chain to slide off the table is given by the formula (a/g)^(1/2) * ln(a + ((a^2 - b^2)/b)^(1/2)). Participants are encouraged to share relevant equations and their thought processes rather than simply asking for answers. The emphasis is on understanding the problem and applying physics concepts effectively. Engaging with the problem collaboratively is key to finding the solution.
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Homework Statement



A uniform chain of total length 'a' has a portion 0<b<a hanging over the edge of a smooth table AB. Prove that the time taken for the chain to slide off the table if it starts from rest is (a/g)1/2*ln(a+((a2-b2)/b)1/2)
 
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Please follow the rules of this forum. Show us the relevant equations and tell us what you tried and what you think about the problem. We just don't give answers away.
 

Thread 'Errors and significant figures'

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...
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Thread 'A cylinder connected to a hanging mass'

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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