Simple beginning physics, mindfart

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SUMMARY

The discussion revolves around a physics problem involving two blocks suspended over pulleys connected to a central block on a table. The masses are 4kg, 2kg, and 6kg, with a friction coefficient of 0.12 affecting the central block. The participant struggles with calculating the forces acting on the central block, particularly the tension in the ropes and how it interacts with friction. The key takeaway is that tension in a massless string remains constant, which simplifies the analysis of forces along the x-axis.

PREREQUISITES
  • Understanding of Newton's Second Law (F=ma)
  • Knowledge of free-body diagrams
  • Familiarity with tension in strings
  • Basic concepts of friction and its effects on motion
NEXT STEPS
  • Study the principles of tension in massless strings
  • Review how to construct and analyze free-body diagrams
  • Learn about the effects of friction on motion in physics
  • Explore advanced problems involving pulleys and multiple masses
USEFUL FOR

Students studying introductory physics, particularly those focusing on mechanics and forces, as well as educators looking for examples of tension and friction in practical applications.

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Homework Statement



2 blocks are suspended on the sides of a table, over pulleys, connected to a central block on the table. From the left to the right, the masses are 4kg, 2kg and 6kg. There is a friction coefficient of 0.12 on the middle block. Find the acceleration.



Homework Equations



F=ma, of course


The Attempt at a Solution



For some reason, I'm having trouble with the center block. I have drawn free-body diagrams for each object, and at the center, I'm having trouble with determining the x-axis forces.

I have marked friction in the opposite direction of the acceleration, but can't seem to figure out how to factor in Tension, as there should be tension on both sides of the object.

This, I know is a very simple thing, but for some strange reason, I'm hung up on it.
 
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Show your equations. Do not forget that there are different tensions in the ropes at the opposite sides of the middle block.

ehild
 
In a single massless string, tension is same. Use it to get forces in x axis
 

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