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How Do You Calculate Acceleration in a Double Atwood Machine?
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[QUOTE="Nathanael, post: 5010338, member: 509990"] m[SUB]a[/SUB] and m[SUB]b[/SUB] are not necessarily moving in opposite directions. It's only with respect to the lower pulley that they move in opposite directions. So in reality, they can both be moving in the same direction. Your error was the equation a[SUB]a[/SUB] = -a[SUB]b[/SUB]... This is not true! Imagine a[SUB]a[/SUB] = a[SUB]b[/SUB] ... They should both be at rest with respect to the lower pulley, right? According to your equation, a[SUB]a[/SUB]+a[SUB]b[/SUB]=0... But this is clearly not true because both a and b will moving with some nonzero acceleration in the same direction (they will move with the same acceleration that the lower pulley is moving with.) [/QUOTE]
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How Do You Calculate Acceleration in a Double Atwood Machine?
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