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

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The discussion revolves around solving a physics problem involving a semi-Atwood machine with two masses, m1 and m2, and an incline. The user is unsure how to begin and has drawn free body diagrams (FBDs) for both masses but struggles to formulate the correct equations. The recommended approach is to apply Newton's second law to each mass, resulting in two force equations that can be solved simultaneously to find the system's acceleration and the tension in the string. The user plans to revise their equations and seek further guidance. Overall, the focus is on understanding the application of physics principles to solve the problem effectively.
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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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