A rope and a frictionless table

AI Thread Summary
The discussion revolves around a physics problem involving a rope on a frictionless table, with part of it hanging through a hole. The user has derived two equations related to the system's initial conditions but feels uncertain about their correctness. They express confusion about the implications of the equations, particularly the relationship between A and B. The user seeks confirmation or validation of their equations to ensure they are on the right track. Clarification on these equations is essential for progressing in solving the problem.
davesface
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Homework Statement



A rope of mass M and length L lies on a frictionless table, with a short portion L0 hanging through a hole. Initially the rope is at rest. Evaluate A and B so that the initial conditions are satisfied.

The Attempt at a Solution



Ok, so I understand the problem and have gotten the final 2 equations (according to my book):
yAeyt-yBe-yt=0
L0=Aeyt+Be-yt

It looks like, according to the first equation, Be-yt=Aeyt. Plugging this into the second equation, L0=2Aeyt and L0=2Be-yt. This seems intuitively wrong, but I'm not sure exactly why. Any thoughts?
 
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Bump. All I need is some confirmation, or a way to confirm, that I have the correct equations.
 

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