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Which would be faster: A ball rolling down a ramp with no groove

  1. Apr 27, 2014 #1
    1. The problem statement, all variables and given/known data
    Which would be faster: A ball rolling down a ramp with no groove, or a ball rolling down a ramp with a groove?
    What effect does the radius have, if any? Disregarding resistance and whether or not the ball rolls in a straight line.
    2. Relevant equations



    3. The attempt at a solution


    I thought that a decrease in rolling radius due to being in the groove might have an effect but apparently not. Any input appreciated.
     
  2. jcsd
  3. Apr 27, 2014 #2
    Can you prove it analytically?
     
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