1. The problem statement, all variables and given/known data I'm just reading a graduate level mechanics book for enjoyment/practice and I just need a push in the right direction with one of the problems. It has a cylinder that is wrapped with a string around the circular part. The string is then pulled (so the force is tangential to the surface of the cylinder) and I have to find the angular acceleration, and the acceleration of the cylinder. (see attached image, the circle represents the cylinder as you are looking down its axis and the red line is the string wrapped around the cylinder. The force is acting along the string to the right.) 2. Relevant equations 3. The attempt at a solution I know how to do this if the axis of the cylinder were fixed, I would just find torque and then angular acceleration. But the axis is not fixed, So my question, and what I'm confused about, is how do I know how the force is divided between contribution to total acceleration and angular acceleration At first I want to say that it all still goes into torque only since the force is always tangential to the surface, but if I think about pulling something like that in real life I would imagine that the whole object would move as well since it's not being held in place. Can anyone give me a little advice?