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Blocks connected on a table - find acceleration and tension

  1. Jul 28, 2009 #1
    1. The problem statement, all variables and given/known data
    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.


    2. Relevant equations
    F=ma


    3. 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?
     
  2. jcsd
  3. Jul 28, 2009 #2

    Doc Al

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    Staff: Mentor

    Re: Blocks

    I didn't check your arithmetic, but your equations are fine. (Everything accelerates together.)
     
  4. Jul 28, 2009 #3

    Redbelly98

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    Re: Blocks

    Looks like a typo for T2. It's close to, but not exactly 24.32 N.
     
  5. Jul 28, 2009 #4
    Re: Blocks

    24.22N. Sorry.
     
  6. Jul 28, 2009 #5

    Redbelly98

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    Re: Blocks

    Looks good to me! :smile:
     
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