Two stacked boxes and a pulley with a weight attached

AI Thread Summary
The discussion focuses on a physics problem involving two stacked boxes and a pulley system. The goal is to determine the maximum mass for M3 that prevents mass one from sliding off mass two, given specific weights and coefficients of static friction. Calculations reveal the static friction force between the blocks and the table, which are essential for solving the problem. The equations of motion are set up to analyze the forces acting on the system, emphasizing the importance of expressing calculations in terms of variables before substituting numerical values. The conversation highlights the need for clarity in problem-solving and the application of fundamental physics principles.
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Homework Statement


The system shown is released from rest. Mass one (0.450 kg) rests on mass two (0.820 kg) and the coefficient of static friction between the two masses is 0.560 and the same for the mass and the table. Determine the maximum mass for M3 such that the mass one will not slide on mass two. The string can be considered massless and the pulley is frictionless

Homework Equations


fs=uk(n)
sumF=M(a)

The Attempt at a Solution


.450(9.8)(.560)= 2.46N static friction force between block one and two

(.450+.560)(9.8)(.560)= 6.96N static friction force between both blocks stacked and table

T-(6.96N)=M(1+2)(a) sum forces x direction

w2- T=M2(a) sum forces in y direction
 
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System shown ? Shown where ?

Oh, and: welcome to PF!

Tip: don't write calculations with numbers. Instead write expressions with variables and work with those. Only at the last step fill in values (i a numerical answer is required).
 
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