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Sphere rolling down an inclined plane

  1. Apr 10, 2010 #1
    I've seen a number of posts on the following question, but don't believe any contain a solution to the following very simple scenario:

    A sphere of radius r and mass m rolls down a plane inclined at theta degrees. What are its linear and angular velocities at any time t thereafter, assuming it starts at rest?

    Perhaps I've missed the answer elsewhere; if so, apologies.
     
  2. jcsd
  3. Apr 10, 2010 #2
    Here is a hint: write down the conservation of energy (potential energy + kinetic energy of center of mass + rotational energy around COM = const)
    Then express angular velocity by linear velocity and you have an equation for linear velocity only!
     
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