Solve Semi-Atwood Machine Homework: m1=0.30kg, m2=0.45kg, θ=11°

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Homework Help Overview

The discussion revolves around a semi-Atwood machine problem involving two masses, m1 and m2, with given values and an incline angle. The original poster seeks to determine the acceleration of the system and the tension in the string, while also considering the effects of friction.

Discussion Character

  • Exploratory, Problem interpretation, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to draw free body diagrams (FBDs) for both masses to analyze the forces acting on them. They express uncertainty about the next steps after creating the diagrams and seek guidance on formulating the correct equations.

Discussion Status

Some participants have suggested applying Newton's second law to the forces depicted in the FBDs to derive equations for acceleration and tension. The original poster acknowledges this guidance but continues to struggle with formulating the correct equations, indicating an ongoing exploration of the problem.

Contextual Notes

The problem includes specific values for masses, incline angle, and friction coefficient, which are essential for setting up the equations but may not be fully utilized yet. The original poster's uncertainty about the next steps suggests a need for clarification on the application of the concepts involved.

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Homework Statement



Again, I've uploaded a diagram of the problem.

In the setup shown, m1 = 0.30kg, m2 = 0.45kg and theta = 11 degrees. Also, between the first block and the incline, coefficient of friction = 0.40. Assume the system moves so that the first block slides up the incline. (a) What is the acceleration of the system? (b) What is the tension in the string?

Homework Equations






The Attempt at a Solution



I really have no idea how to start this. First, I suppose draw FBD for both m1 and m2. Then what should I do? I'll draw them and post them to see if I'm on the right track..
 

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Here are my FBDs. I'm just not sure what to do next.
 

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Once you've drawn your FBDs, use them to apply Newton's 2nd law to each mass. You'll get two force equations, which you can solve together to find the acceleration and the string tension.
 
I do understand that.. I'm having trouble coming up with the correct equations. I'll attempt it again and post here and see what I'm doing wrong.

Thanks!
 

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