Atwoods MAchine with two pulleys and three masses

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SUMMARY

The discussion focuses on analyzing a mechanical system involving two pulleys and three masses: m_1, m_2, and m_3. The key equations derived from the problem include the relationship a_3 = 0.5 * a_2 and a_2 = a_1, leading to the conclusion that a_1 = 2 * a_3. Participants emphasize the importance of drawing free body diagrams for each mass to accurately determine the net forces and subsequently relate these forces to the accelerations of the objects using Newton's second law (ma = F_net).

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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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