Tough AP Test Question:Newton's Laws and Friction

AI Thread Summary
The discussion revolves around a physics problem involving two blocks, m1 and m2, with m2 on a table and m1 on top of m2, connected to a hanging mass M via a pulley. The goal is to determine the maximum mass M that maintains equilibrium and the acceleration of the blocks when m1 begins to slide off m2. Key factors include the coefficients of static and kinetic friction between the blocks and the table. Participants are encouraged to share their attempts and specific points of confusion for better assistance. The thread aims to facilitate problem-solving in the context of Newton's laws and friction.
StarzGoalie30
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Alright this is my first post so let me just say hi!

The problem reads something like this...
There is a table with a block, m2, resting on the surface. Another block, m1, is resting on top of the first block. m2 is connected to a string which goes over the table top, through a pulley, and hangs over the edge of the table. Connected to the string is another mass, M. Ignoring the mass and friction of the pulley, what will be the greatest magnitude of M that will keep the system at equilibrium? Also, when the system begins to accelerate so much that the top block begins to slide off the bottom block, what is the acceleration of m2 and m1.

Some other information... the static friction between the m2 and m1 is equal to @s1 (where @ is the coefficient of friction). The static friction between m2 and the table is @s2. The kinetic friction between m2 and m1 is @k1. And the kinetic friction between m2 and the table is @k2.

The answers should be in all variables. Can anyone help with this?!

Thanks again, and can't wait to start posting more! :smile:
 
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https://www.physicsforums.com/showthread.php?t=94379
 

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