How Does Friction Affect Acceleration and Tension in a 3-Block Pulley System?

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SUMMARY

The discussion focuses on the dynamics of a three-block pulley system involving two masses (m1 = 10.0 kg and m2 = 80.0 kg) connected by strings over massless, friction-free pulleys. The coefficient of kinetic friction between the middle object and the table is specified as 0.100. The primary objectives are to calculate the acceleration of the system and the tension in the strings. The solution requires applying Newton's second law and the equations of motion to derive the necessary values.

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  • Understanding of Newton's second law of motion
  • Knowledge of friction coefficients and their impact on motion
  • Familiarity with pulley systems and tension forces
  • Basic algebra for solving equations
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  • Study the application of Newton's second law in multi-body systems
  • Learn how to calculate tension in pulley systems with friction
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  • Investigate advanced dynamics involving multiple pulleys and masses
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1. The drawing shows three objects. They are connected by strings that pass over massless and friction free pulleys. The objects move, and the coefficient of kinetic friction between the middle object and the surface of the table is 0.100
(a) What is the Acceleration of the three objects? (b) Find the tension in each of the two strings.

http://i4.photobucket.com/albums/y111/kathy_felldown/sb-pic0550.png"

m1 = 10.0kg m2 = 80.0kg




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The Attempt at a Solution

 
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I didn't mean to post this(didn't know it even got posted). I am not sure how to remove it.
 

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