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Center of Mass

  1. Oct 26, 2004 #1
    A man of mass 83.8 kg stands on top of a uniform ladder whose mass is 11 kg and whose length is 8.7 meters. Find the distance (in meters) from the base of the ladder to the center of mass.

    Here's what I did:
    X(center of mass) = (83.8*8.7) + (11*0) / (83.8+11)
    = 7.69meters

    but the correct answer is 8.20meters. What did I do wrong? Please help. Thanks!
     
  2. jcsd
  3. Oct 26, 2004 #2

    ehild

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    Gold Member


    You should consider the ladder as if its mass would be concentrated at its own centre of mass, that is at 8.7/2=4.35 m height.

    ehild
     
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