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Rolling motion including torque and acceleration

  1. Feb 26, 2008 #1
    1. The problem statement, all variables and given/known data

    A constant horizontal force [tex]\vec{F}[/tex] is applied to a lawn roller in the form of a uniform solid cylinder of radius R and mass M. If the roller rolls without slipping on the horizontal surface, show that (a) the acceleration of the center of mass is [tex]\frac{2\vec{F}}{3M}[/tex] and (b) the minimum coefficient of friction necessary to prevent slipping is [tex]\frac{F}{3Mg}[/tex]. (Hint: Take the torque with respect to the center of mass.

    2. Relevant equations

    Not quite sure.

    3. The attempt at a solution

    Well, this is my last problem of the night to finish. To be honest, i have no idea where to begin. I don't know how to examine the acceleration or how to use torque to find friction. Any step in a positive direction would be helpful. I appreciate it.
  2. jcsd
  3. Feb 26, 2008 #2
    I was thinking maybe a force diagram...but I'm not sure how it would apply to the rolling motion.
  4. Feb 26, 2008 #3
    Also, I'm not sure whether the applied force is causing any torque or not.
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