Blocks connected on a table - find acceleration and tension

AI Thread Summary
The discussion revolves around solving a physics problem involving three connected blocks on a rough table with a coefficient of kinetic friction of 0.350. The main goal is to determine the acceleration of each block and the tension in the cords. Initial calculations suggest that all blocks accelerate at the same rate, leading to values of a=2.31 m/s², T1=29.96 N, and T2=24.32 N. However, there is uncertainty regarding whether the accelerations are indeed equal, prompting a request for clarification. The final consensus indicates that while the initial equations are correct, there was a minor error in the tension calculation for T2, which should be 24.22 N.
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Homework Statement


Blocks.jpg

Three blocks are connected on a table as shown in Figure P5.50. The table is rough and has a coefficient of kinetic friction of 0.350. The pulleys are frictionless.

Determine the magnitude of acceleration of each block.

Determine the tension in the two cords.


Homework Equations


F=ma


The Attempt at a Solution


I was thinking that everything accelerates the same magnitude. If so
4g-T1=4a
T1-T2-f=a
T2-2g=2a

Then solving I get a=2.31, T1=29.96, T2=24.32.
I am not sure if this is the right answer, because the problem hints that the accelerations aren't equal. If they aren't equal, can someone show me how to do this?
 
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I didn't check your arithmetic, but your equations are fine. (Everything accelerates together.)
 


Looks like a typo for T2. It's close to, but not exactly 24.32 N.
 


24.22N. Sorry.
 


Looks good to me! :smile:
 

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