Blocks connected on a table - find acceleration and tension

[blackboy]

Homework Statement

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?

 

[Doc Al]

I didn't check your arithmetic, but your equations are fine. (Everything accelerates together.)

 

[Redbelly98]

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

 

[blackboy]

24.22N. Sorry.

 

[Redbelly98]

Looks good to me!