In Example 10.5 (Section 10.3) we found that for a hollow cylindrical shell rolling without slipping on a horizontal surface, half of the total kinetic energy is translational and half is rotational. What fraction of the total kinetic energy is rotational for the following objects rolling without slipping on a horizontal surface?
a) A uniform solid cylinder.
b) A uniform sphere.
c) A thin-walled hollow sphere.
d) A hollow, cylinder of outer radius R and inner radius R/2.