Chapter 14.4, Problem 7E

(a)

To determine

To calculate: The mass and center of mass of the lamina corresponding to region, R: Square with vertices, $\left(0,0\right)$, $\left(a,0\right)$, $\left(0,a\right)$, $\left(a,a\right)$ and density $\rho =k$.

(b)

To determine

To calculate: The mass and center of mass of the lamina corresponding to region, R: Square with vertices $\left(0,0\right)$, $\left(a,0\right)$, $\left(0,a\right)$, $\left(a,a\right)$ and density $\rho =ky$.

(c)

To determine

To calculate: The mass and center of mass of the lamina corresponding to region, R: Square with vertices $\left(0,0\right)$, $\left(a,0\right)$, $\left(0,a\right)$, $\left(a,a\right)$ and density $\rho =kx$.