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Rolling Cylinder

  1. Jul 5, 2008 #1
    My text book is not helping me on this, so I'd love some help.

    A cylinder is rolling down a ramp, without slipping. I have the total kinetic energy, but now need to know the rotational kinetic energy and transitional kinetic energy at the bottom of the ramp.

    I have the mass, radius, length, w, v, and I of the cylinder and the height and length of the ramp. I know it should be super easy at this point, as I know the total energy. But nothing's working. HELP! I have that: KE tot = 1/2 I x w^2 + 1/2 m x v^2. Any guidance?
     
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  3. Jul 5, 2008 #2

    Hootenanny

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    Since the cylinder is rolling without slipping, can you relate the angular velocity to the linear velocity?
     
  4. Jul 5, 2008 #3
    yes i woudl assume so. v=vo + at to w=wo + alphaT
     
  5. Jul 5, 2008 #4

    Hootenanny

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    They weren't the equations I was thinking of, there is one equation which directly relates the angular velocity of a cylinder to the linear velocity of the surface of the cylinder.
     
  6. Jul 5, 2008 #5
    Ohhh really???? I was looking online for that and haven't had any luck so far. I'll continue to look! Thanks!!!!
     
  7. Jul 5, 2008 #6

    Hootenanny

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    Perhaps:

    [tex]\omega =\frac{v}{r}[/tex]

    would help.
     
  8. Jul 5, 2008 #7
    ohhh ok thanks! i'll see if that works. THANKS!
     
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