A constant horizontal force vector F app of magnitude 14 N is applied to a uniform solid cylinder by fishing line wrapped around the cylinder. The mass of the cylinder is 12 kg, its radius is 0.10 m, and the cylinder rolls smoothly on the horizontal surface. (Let clockwise rotation be considered positive, as well as motion to the right in the +x direction.)
(a) What is the magnitude of the acceleration of the center of mass of the cylinder?
(b) What is the magnitude of the angular acceleration of the cylinder about the center of mass?
(c) In unit-vector notation, what is the frictional force acting on the cylinder?