# Rolling motion including torque and acceleration

## Homework Statement

A constant horizontal force $$\vec{F}$$ 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 $$\frac{2\vec{F}}{3M}$$ and (b) the minimum coefficient of friction necessary to prevent slipping is $$\frac{F}{3Mg}$$. (Hint: Take the torque with respect to the center of mass.

Not quite sure.

## 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.