Newton's Second Law (Pulley Sustem)

AI Thread Summary
The discussion focuses on a physics problem involving two masses, M1 (4.0 Kg) and M2 (20 Kg), connected by a rope over a frictionless pulley, with M1 sliding horizontally and experiencing kinetic friction. The coefficient of kinetic friction is given as uk = 0.638. Participants are advised to draw free body diagrams (FBD) for each mass and apply Newton's Second Law to derive equations for the system. The goal is to calculate the acceleration of the masses and the tension in the rope. Additionally, tips for posting equations using LaTeX and image uploading are provided for clarity in future discussions.
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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Likes berkeman and MatinSAR
Ok, thank you very much for your help!
 
Welcome to PF.

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