Solve Atwood's Machine Problem: Acceleration of Weights

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To solve the Atwood's Machine problem involving pulleys and weights, the acceleration of the system can be determined using Newton's second law. The net force acting on the system is derived from the difference in weights on either side of the pulleys. By setting up equations based on the masses and gravitational force, one can solve for the acceleration. The discussion emphasizes the importance of identifying the correct mass values and their arrangement in the system. Understanding these principles is crucial for accurately calculating the acceleration of the weights involved.
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Problem: There is this pulley, pulley A. On one end is another pulley, pulley B, and on the other end is a weight of mass X. On one end of pulley B is a weight of mass Y and on the other end is a weight of mass Z. How do you get the acceleration of the system? I mean the acceleration of the weights.
 
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