# Is the non-rotational form of Newton's second law still valid for rolling objects?

Say you have a rolling (non-slipping) cylinder with mass $$m$$ and radius $$R$$. The circle below is the side view. Denote the center of this circle as $$C$$. A force $$F$$ is applied. We can find the torque around $$C$$: $$\tau = I\alpha = \frac{1}{2}mR^2$$ $$\tau = F(h-R) + f_sR$$ and this gives information about the angular acceleration and also about the linear acceleration since $$\alpha R=a$$. Now, I was wondering if you could also say that $$F_\text{tot} = F - f_s = ma$$ as if it is a point of mass or a slipping object, or if this is incorrect. I initially thought it was incorrect since the forces are acting on different places and the cylinder is rotating so can't be modeled as a point of mass, but this method was used in a solution key. I don't understand why you can do this.