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Tension with horizontal kinetic friction

  1. Feb 20, 2008 #1
    [SOLVED] Tension with horizontal kinetic friction

    1. The problem statement, all variables and given/known data
    In Figure, block 1 of mass m1 = 1.8 kg and block 2 of mass m2 = 1.3 kg are connected by a string of negligible mass. Block 2 is pushed by force of magnitude 20 N and angle θ = 39°. The coefficient of kinetic friction between each block and the horizontal surface is 0.22. What is the tension in the string?

    http://edugen.wiley.com/edugen/courses/crs1650/art/qb/qu/c06/fig06_61new.gif




    2. Relevant equations



    3. The attempt at a solution

    This is what I end up with but its wrong:
    20*cos(39)-20*sin(39)*0.22-
    1.3*g*0.22-T=1.3*a

    and
    T-1.8*g*0.22=1.8*a

    Solving for T =

    a=T/1.8-g*0.22

    20*cos(39)-20*sin(39)*0.22-
    1.3*g*0.22-T=1.3*(T/1.8-g*0.22)


    (20*cos(39)-20*sin(39)*0.22-
    1.3*g*0.22+1.3*g*0.22)*1.3/(1/1.8+1)=T

    10.7 N
     
  2. jcsd
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