Newton's Second Law (Pulley Sustem)

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SUMMARY

The discussion focuses on applying Newton's Second Law to a pulley system involving two masses, M1 (4.0 Kg) and M2 (20 Kg). The problem requires drawing free body diagrams (FBD) for each mass and formulating Newton's Laws (N1L and N2L) equations to determine the acceleration of the masses and the tension in the rope. The coefficient of kinetic friction for M1 is specified as uk = 0.638, which plays a crucial role in the calculations. The discussion emphasizes the importance of using LaTeX for presenting equations clearly.

PREREQUISITES
  • Understanding of Newton's Laws of Motion
  • Knowledge of free body diagrams (FBD)
  • Familiarity with kinetic friction concepts
  • Proficiency in using LaTeX for mathematical equations
NEXT STEPS
  • Learn how to derive equations of motion using Newton's Laws
  • Study the principles of friction and its effects on motion
  • Explore advanced pulley systems and their dynamics
  • Practice formatting equations in LaTeX for clarity in presentations
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Physics students, educators, and anyone interested in mastering mechanics, particularly in analyzing pulley systems and applying Newton's Second Law effectively.

armn91
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Homework Statement
I am trying to find the solution to the following problem. Could you please let me know if what I have done is correct? Thank you.
Relevant Equations
Newton's Second Law
Two masses, M1=4.0 Kg, and M2=20 Kg, are attached by a rope that crosses over a massless, frictionless pulley. M1 slides horizontally and experiences a kinetic frictional force due to its motion across the surface. The coefficient of kinetic friction is uk = 0.638. When solving the problem, start drawing a FBD for each mass and writing appropriate N1L and N2L equations for each mass. Solve the system of equations for find the acceleration of the masses and the tension of the rope (see figure in document attached).
 

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It looks correct to me. For future reference: After you upload a figure click "Insert" + Full image. Full images are easier to read than thumbnails. Also, for "work shown" we prefer equations in LaTeX to photos of handwritten notes. Click "LaTeX Guide", lower left, to learn how to do it.
 
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Ok, thank you very much for your help!
 
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Welcome to PF.

I will send you some tips for posting equations using LaTeX. :smile:
 

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