(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A rope of mass M and length L lies on a frictionless table, with a short portion L_{0}hanging through a hole. Initially the rope is at rest. Evaluate A and B so that the initial conditions are satisfied.

3. The attempt at a solution

Ok, so I understand the problem and have gotten the final 2 equations (according to my book):

yAe^{yt}-yBe^{-yt}=0

L_{0}=Ae^{yt}+Be^{-yt}

It looks like, according to the first equation, Be^{-yt}=Ae^{yt}. Plugging this into the second equation, L_{0}=2Ae^{yt}and L_{0}=2Be^{-yt}. This seems intuitively wrong, but I'm not sure exactly why. Any thoughts?

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# Homework Help: A rope and a frictionless table

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