Hollow sphere rolling up a ramp

  • Thread starter mjolnir80
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  • #1
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Homework Statement


a hollow sphere is rolling long a horizontal floor at 5 m/s when it comes to a 30 degree incline. how far up the incline does it roll before reversing direction?


Homework Equations





The Attempt at a Solution


it seems like conservation of energy would work best for this problem
1/2mv^2 + 1/2I[tex]\omega[/tex]^2 = mgh
im just having some problems finding [tex]\omega[/tex]
am i doing this right? and if so any clues on how to find [tex]\omega[/tex]?
thanks in advance
 

Answers and Replies

  • #2
Doc Al
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Assuming the sphere is rolling without slipping, ω and v are directly related. (What's the condition for rolling without slipping?) What's the rotational inertia of a hollow sphere?

Your method is fine.
 
  • #3
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v=[tex]\omega[/tex]r right? but we dont have the radius of the sphere
or do we.................?
 
  • #4
Doc Al
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45,248
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v=[tex]\omega[/tex]r right?
Right.
but we dont have the radius of the sphere
or do we.................?
Maybe you don't need it. :wink: (Just call it "r" and see what happens.)
 

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