Pulley System: Solving for Acceleration (a3)

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SUMMARY

The discussion centers on a pulley system involving two pulleys, where the left pulley is massless and the right pulley has mass m3 and radius R. The main question is regarding the acceleration of the right pulley (a3) and its relationship to the accelerations of the other components (a1 and a2). The conclusion reached is that m2 and m3 are indeed attached, indicating a direct relationship between their accelerations.

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Homework Statement



Hey guys.
Look at this pulley system, I wrote down all the equations.
The pulley on the left is massless, the one on the right has the mass of m3 and radius R.
I also wrote the the torque equation of the pulley and the thing I don't understand is the what is the acceleration of the pulley (a3), is it equal to a2 or to a1?
Thanks a lot.

Homework Equations





The Attempt at a Solution

 

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Aren't m2 and m3 (the pulley) attached?
 
Doc Al said:
Aren't m2 and m3 (the pulley) attached?

Oh, you right...:blushing:
Thanks.
 

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