For a body rolling without slipping with KE_total = (1/2)Mv^2(1 + k^2/R^2):
| Body | k^2/R^2 | KE_trans/KE_total | KE_rot/KE_total |
|---|---|---|---|
| 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.