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Find the differential equation and velocity

  1. Jan 15, 2016 #1
    1. The problem statement, all variables and given/known data
    probs_Untitled.jpg

    2. Relevant equations
    3. The attempt at a solution

    rijes_Untitled.jpg Hello guys,I posted images since its easier to write equations.Please can someone help me check this, if this is correct so far, then i should be able to find the velocity at C, using kinetic energy?
     
  2. jcsd
  3. Jan 15, 2016 #2
    Looks good to me.
     
  4. Jan 16, 2016 #3
    velocity_Untitled.jpg

    Edit: Work done from A to C is the difference of the potential energy between these two points, am i wrong?
     
    Last edited: Jan 16, 2016
  5. Jan 16, 2016 #4
    By the way in the problems text i translated R as circumference, but its actually a radius R.
     
  6. Jan 16, 2016 #5
    In my judgment, you did all this correctly. I think you should have more confidence in your ability. Your analysis was very nice, perceptive, and mathematically talented.

    Chet
     
  7. Jan 17, 2016 #6
    Thank you very much Chet, I cant help it,I always had some difficulties to translate "physics thoughts" into math language so maybe I am overly cautious, sometimes i even waste time writing code for motion simulations to make sure something behaves like its supposed to, but it seems I'm getting the hang of it.Thanks again for your support.
     
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