Instead of two blocks and one pulley, let's have one box, one pulley, and one rolling cylinder. Each of them have mass M, the pulley's radius is R, and the cylinder's radius is 2R. Consider the cylinder to be rotating about its center of mass. See for further details.
(a) Draw correct and complete free-body diagrams.
(b) Give the equation(s) that come from the free-body diagrams (there are at least 7 equations).
(c) Also give the equations that relate the various accelerations to each other (there are at least 4 linear and angular accelerations to consider). You do not need to solve for anything.
