Question involving 2 pulleys and 2 masses.

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The acceleration of block m2 is determined to be 2a, based on the mechanics of the pulleys involved. As the right pulley moves left, it affects the lengths of the strings, causing mass m2 to travel twice the distance of mass m1. This relationship between distance and acceleration is crucial, as both masses move simultaneously over the same time period. The discussion emphasizes that the constraints of the pulley system directly influence the acceleration of the blocks. Understanding how the motion of one block affects the other is key to solving the problem.
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1. Homework Statement
If the magnitude of the acceleration of block m1 is a, what is the magnitude of the acceleration of block m2?

Homework Equations


None.

The Attempt at a Solution


The answer is 2a. Is it because the top string of the right pulley is adding string, while simultaneously, the lower string is subtracting string while the right pulley goes left pulling mass2? The motion is constrained by the pulley. The result would cause the mass2 to go twice the distance than mass 1. Since distance is related to acceleration, acceleration is twice as well.
 
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your explanation is very good however I would add that distance is related to acceleration and time, and the time for each mass to move its respective distance is the same.
 

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