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

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The discussion focuses on solving a physics problem involving three masses (m1=4kg, m2=2kg, m3=8kg) on a slope with friction (μ=0.1) at an angle of 30°. Participants suggest using Newton's second law and free body diagrams to analyze the system. To simplify the calculations, it is recommended to combine m1 and m2 into a single equivalent mass (M) for easier problem-solving. The key equations involve calculating the system's acceleration and the tension in the rope segments between the masses. This approach aims to clarify the dynamics of the system under the influence of friction and gravity.
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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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