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Pulley problem (with friction)

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

    ......................................__m5____
    .......|\.........................../.............|
    .......|..\......................./...............|
    ..m1.|...m2.................m4...............|.m6
    .......|.....\................./..................|
    .......|...45.\___m3___/30................|


    - All the boxes (m1, m2, m3, m4, m5) are connected by strings.
    - m2 and m4 are leaning on the wall.
    - m3 and m5 are standing
    - m1 and m6 are hanging
    - the first incline (the one at the left) has an angle of 135 degrees (conventional) >> thus 45 degrees north of west (in a manner of speaking)
    - the second incline has an angle of 30 degrees

    m1=35 kg


    m2=15kg
    us2=0.40
    uk2=0.20

    m3=7.0kg
    us3=0.70
    uk3=0.60

    m4=5.0kg
    us4=1.0
    uk4=0.80

    m5=15kg
    us5=uk5=0

    m6=10kg

    AT WHAT ACCELERATION WILL IT MOVE?



    2. Relevant equations
    g = 9.8 m/s2
    sin 30 = 0.500
    cos 30 = 0.866
    sin 45 = cos 45 = 0
    Ff = u*FN
    vf = vi + at
    d = vit + 1/2at2
    vf2 = vi2 + 2ad
    v = (vf + vi) / 2

    3. The attempt at a solution
    I tried to get all m*us and added them all together but it doesn't seem right. And I didn't know where to go next and I'm not sure if I even started right.
     
    Last edited: Sep 1, 2009
  2. jcsd
  3. Sep 1, 2009 #2
    draw free-body diagrams first; then you will find the answer by yourself.
     
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