Atwoods MAchine with two pulleys and three masses

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The discussion focuses on a physics problem involving two pulleys and three masses, specifically determining the acceleration constraint in terms of the acceleration of mass 1 and the tension in the string of the second pulley. The initial analysis suggests that the acceleration of mass 3 is half that of mass 2, leading to a potential relationship where the acceleration of mass 1 is double that of mass 3. Participants recommend drawing free body diagrams for each mass to visualize forces and apply Newton's second law to derive the necessary equations. The approach emphasizes substituting these equations to find the desired relationship between the accelerations and tension. A systematic breakdown of these steps is deemed essential for clarity and accuracy in solving the problem.
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Homework Statement


A system contains two pulleys, over the first pulley there is mass 3, m_3, on one end of the rope. the other end of that rope is connected to the second pully. Hung on the second pulley are mass 2, m_2, and mass 1, m_1. Find the acceleration constraint in terms of a_1 and the tension in the string of the second pulley.


Homework Equations


ma=Fnet


The Attempt at a Solution


the change in the string over pulley 1 causes a_3=.5*a_2 and a_2=a_1 (not sure?)
so a_1=2a_3?
 
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I would suggest first drawing free body diagrams for all the masses involved, then using those to find the net force on the masses (and relate the net force to accelerations of the objects using the equation you give). You'll get a number of equations that you'll just have to substitute into each other to find the relationship (constraint) you desire. Seeing those steps in more detail would be productive.
 

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