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Rotational Dynamics

  1. Apr 14, 2009 #1
    A uniform solid sphere of mass M and radius R rolls, without slipping, down a ramp that makes an angle θ with the horizontal.

    The question ask for me to find the force of friction between the ramp and the sphere.

    My attempt at the problem was to utilize the x-component of the force of gravity of the sphere and then the friction must be greater than that component.

    I also have a feeling to use final energy - initial energy = nonconservative work, but I can't seem to find a velocity, whether its linear or angular, which is necessary to find the energy.

    Note: when a ball rolls without slipping, v=R * [tex]\omega[/tex]

    Thank you for your time.
     
  2. jcsd
  3. Apr 15, 2009 #2
    This is rolling without slipping. So at the point of contact between the ball and plane is the ball moving or stationary?
     
  4. Apr 15, 2009 #3

    Doc Al

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    Staff: Mentor

    That's certainly true, but not enough. Hint: Apply Newton's 2nd law to both the translational and rotational motion and solve for the friction force.

    You'll definitely need that to relate the translational and rotational quantities.
     
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