For a body rolling without slipping with = \frac{1}{2}$$Mv^2(1 + /):
| Body | / | / | / |
|---|---|---|---|
| Solid sphere | 2/5 | 5/7 | 2/7 |
| Solid cylinder | 1/2 | 2/3 | 1/3 |
| Hollow sphere | 2/3 | 3/5 | 2/5 |
| Ring | 1 | 1/2 | 1/2 |
These fractions are universal — they do not depend on speed, incline angle, or mass.