Question

one of the diagonals of the square is $=\frac{x}{5}m{r}^2+m{a}^2$. Find $x$.

Answer 1

$I_2=I_P+I_Q+I_R+I_S$
$=\frac{2}{5}m{r}^2+(\frac{2}{5}m{r}^2+\frac{m{a}^2}{2})+\frac{2}{5}m{r}^2$
$=(\frac{2}{5}m{r}^2+\frac{m{a}^2}{2})$
$=\frac{8}{5}m{r}^2+m{a}^2$