The center of mass of a thin rectangular plate (fig - x) with sides of length a and b, whose mass per unit area (σ) varies as σ=(σ_0 x)/(a b) (where…

The center of mass of a thin rectangular plate (fig - x) with sides of length $\displaystyle a$ and $\displaystyle b$, whose mass per unit area $\displaystyle (\sigma)$ varies as $\displaystyle \sigma=\frac{\sigma_0 x}{a b}$ (where $\displaystyle \sigma_0$ is a constant), would be $\displaystyle \_\_\_\_$