A solid sphere is in rolling motion. In rolling motion a body possesses translational kinetic energy ( K_t ) as well as rotational kinetic energy (…

A solid sphere is in rolling motion. In rolling motion a body possesses translational kinetic energy ( $\displaystyle \mathrm{K}_{\mathrm{t}}$ ) as well as rotational kinetic energy ( $\displaystyle \mathrm{K}_{\mathrm{r}}$ ) simultaneously. The ratio $\displaystyle \mathrm{K}_{\mathrm{t}}$ : $\displaystyle \left(\mathrm{K}_{\mathrm{t}}+\mathrm{K}_{\mathrm{r}}\right)$ for the sphere is