How Well Do You Understand Atwood Machine Pulleys?

AI Thread Summary
The discussion focuses on the analysis of an Atwood machine involving pulleys and masses under gravity. Participants evaluate the relationships between the tensions (T1, T2, T3) and the accelerations of the masses (m1, M2) based on given conditions. Initial answers provided by one user were later revised after further consideration, indicating some confusion about the correct relationships. The consensus suggests that the online homework system marked all answers as correct, despite some discrepancies in reasoning. The conversation highlights the complexities of understanding pulley dynamics and the importance of verifying solutions.
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Homework Statement


A pulley with mass Mp and a radius Rp is attached to the ceiling, in a gravity field of 9.81 m/s2 and rotates with no friction about its pivot.
Mass M2 is larger than mass m1. The quantities Tn and g are magnitudes.
1) The magnitude of the acceleration of m1 is ... that of M2.
2) T1 is ... T2;
3) T3 is ... m1g + M2g + Mpg.
4) The C.M. of Mp+M1+M2 accelerates.
5) T3 is ... T1 + T2
6) T1 is ... m1g.
Each has the options of True/False/Less than/Greater than/Equal to

2. The attempt at a solution
1) Equal to
2) Greater than
3) Equal to
4) False
5) Greater than
6) Equal
 

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Hey there -- could you explain your reasoning for each of your answers? It's policy for the forums, and it helps us determine whether your answers are correct.
 
Nevermind! I was able to figure out the answer. It was:
1) equal to
2) less than
3) less than
4) true
5) greater than
6) greater than
 
I think you still have one incorrect answer.
 
dauto said:
I think you still have one incorrect answer.


I agree. I see one answer that doesn't agree with the situation.
 
It is online homework and the program said all my answers were correct.
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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