Let's look at some limiting cases as a way to build your intuition and also to check your answers. If you can't answer these questions now, work through other parts of this problem first and then consider these special cases using your final analytic answer. In the limit that the moment of inertia I→0 while the mass m remains finite, what magnitudes would you expect for the tension T in the vertical section of string and the downward acceleration a of the center of mass? Note: This is a hypothetical cylinder with all its mass concentrated along its axis. The rest of the cylinder (i. e. the bulk) is massless.