Solving Rope Tension Problem w/ Friction & Variables m1, m2 & m3

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SUMMARY

The discussion focuses on solving a rope tension problem involving three masses (m1=4kg, m2=2kg, m3=8kg) on a slope with friction (μ=0.1) and an angle of α=30°. Participants are tasked with calculating the system's acceleration and the tension in the rope segments between m1 and m2, and m2 and m3. The solution approach emphasizes using Newton's second law and free body diagrams, suggesting the combination of m1 and m2 into a single equivalent mass M for simplification.

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Homework Statement



The slop has friction.

Variables: m1=4kg , m2=2kg, m3=8kg
μ (coefficient) = 0.1
α=30°

1. What is the acceleration of the system?
2. Calculate the tension of the rope between m1 to m2 and between m2 to m3.


Homework Equations



Newton's second law and free body diagrams.

The Attempt at a Solution



Two boxes on a slope is new to me (I had experience with one so far). I'd appreciate any help, thank you.
 

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To make things easier, you can replace m1 and m2 with an equivalent mass M (i.e. M = m1+m2). So now you have a two body problem which might be easier for you to handle. Then all you need to do is draw your free body diagrams.
 
Follow the hint given and use

F_{net} = mass x a

for masses on the incline and for the hanging mass.
 

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