Please help with a question about friction

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SUMMARY

The discussion focuses on calculating the accelerations of three blocks (A, B, and C) stacked on a frictionless table when a horizontal force F is applied to each block individually. The coefficients of friction between blocks A and B (u1) and between blocks B and C (u2) are critical for determining the interactions. Participants emphasize the importance of creating free body diagrams for each block and identifying relevant equations to solve for the accelerations a1, a2, and a3. A lack of initial effort may lead to the deletion of the thread by moderators.

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  • Understanding of Newton's laws of motion
  • Knowledge of free body diagrams
  • Familiarity with coefficients of friction
  • Ability to apply basic algebra to solve equations
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  • Study the derivation of equations of motion for multiple bodies
  • Learn how to construct and analyze free body diagrams
  • Research the effects of static and kinetic friction on motion
  • Practice solving problems involving multiple blocks and forces
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Students in physics or engineering courses, educators teaching mechanics, and anyone interested in understanding the dynamics of frictional forces in stacked systems.

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Homework Statement


Three blocks A, B, and C of masses m1, m2 and m3 respectively are lying on top of each other on a frictionless table with A on top and C on bottom. The coefficient of friction between A and B is u1 and between B and C in u2. Find the accelerations a1, a2 and a3 of the three blocks if a horizontal force F is applied on:
(a) A, (b) B and (c) C
The force F is applied on one block at a time and the accelerations are noted and then it is applied on the second one then the third one giving us three sets of accelerations.

Homework Equations

The Attempt at a Solution


I can't get anything in my head.
 
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First thing to do is make a drawing. You will notice it's impossible to draw three blocks on top of each other :smile: but you can draw a block C on top of B which is on top of A.
Then for each case make a free body diagram of each of the blocks. See if you have enough information to solve, or if you still need some additional assumptions (about sliding or not sliding :rolleyes: )

Oh, and: you can't get started without some relevant equations. That's why there is a section 2 in the template. Check your notes or your textbook.

The equations link the variables that appear in your diagrams, so make a list of them (item 1 in the template :wink: ).

By the way, your thread may be deleted by a mentor for not showing any effort. See the guidelines
 

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