Answer
The order of arrival at the bottom is: solid sphere, solid cylinder, spherical shell, and hoop.
Work Step by Step
This exact problem is covered in Example 10.5 on page 312. Objects whose mass is relatively close to the axis of rotation, and which have a low moment of inertia, will be moving faster at the bottom. This is because a smaller fraction of their kinetic energy is tied up in the form of rotational kinetic energy, and more is available in the form of translational kinetic energy. The statement is independent of mass and radius.
