Two stacked boxes and a pulley with a weight attached

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SUMMARY

The discussion focuses on a physics problem involving two stacked boxes and a pulley system with a weight attached. The masses are defined as mass one (0.450 kg) and mass two (0.820 kg), with a static friction coefficient of 0.560. The maximum mass for M3 is determined by calculating the static friction forces, which are 2.46N between the two blocks and 6.96N between the stacked blocks and the table. The equations of motion are established using the static friction force and the net forces acting on the system.

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  • Understanding of Newton's laws of motion
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  • Ability to solve equations involving forces and mass
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  • Learn about the dynamics of pulley systems
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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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