Tough AP Test Question:Newton's Laws and Friction

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SUMMARY

The discussion centers on a physics problem involving Newton's Laws and friction, specifically analyzing a system with two blocks (m1 and m2) and a hanging mass (M). The problem requires determining the maximum value of M that maintains equilibrium and calculating the acceleration of m1 and m2 when sliding occurs. Key variables include the coefficients of static friction (@s1, @s2) and kinetic friction (@k1, @k2) between the blocks and the table. The solution must be expressed in terms of these variables.

PREREQUISITES
  • Understanding of Newton's Laws of Motion
  • Knowledge of static and kinetic friction coefficients
  • Familiarity with equilibrium conditions in physics
  • Basic algebra for solving equations with variables
NEXT STEPS
  • Study the concepts of static and kinetic friction in detail
  • Learn how to apply Newton's Laws to multi-body systems
  • Explore equilibrium conditions and their applications in physics problems
  • Practice solving problems involving pulleys and friction
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Students studying physics, particularly those preparing for AP exams, educators teaching mechanics, and anyone interested in understanding the applications of Newton's Laws in real-world scenarios.

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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