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Horizontal Pulley System

  1. Nov 1, 2016 #1
    1. The problem statement, all variables and given/known data
    A group of construction workers are building a house and want to lower down an excess bundle of 1400 kg bricks to ground. They tie one end of a rope to the bundle of bricks, loop it through a pulley, and tie the other end of the rope to a toolbox. If the coefficient of kinetic friction between the toolbox and the floor is 0.690 and the acceleration of the bundle of bricks is 4.56 m/s2, what is the mass of the toolbox?
    where A=toolbox
    and B=bricks

    2. Relevant equations
    T-ukmBg=-mBaA
    T-mAg=mAaA
    (mA-ukmB)g=-(mA+mB)aA
    3. The attempt at a solution
    mA = ((gukmB)-(amB))/(a+g)
    I tried to solve by using this rearranged formula but did not get the right answer. I'm not quite sure what I'm doing wrong or what I'm missing. I am also assuming that acceleration (4.56 m/s2) is uniform, is this a correct assumption.
     
  2. jcsd
  3. Nov 1, 2016 #2

    Doc Al

    User Avatar

    Staff: Mentor

    I think you have your A and B reversed. Also, check your signs. (Let "a" be the magnitude of the acceleration.)
     
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