Question

A unifrom square plate $6$m on a side has had a square piece $2$m on side cut out of it . The centre of that piece is at $x=2m$ y=$0$ The center of the square plate is at x=y=0.Find the x coordinate and y coordinate of the center of mass of the remaining piece.

Answer 1

$Xcom=\left[\right(\sigma \times 6\times 6)\times 0-(\sigma \times 2\times 2)\times 2]/(\sigma \times 6\times 6)-(\sigma \times 2\times 2)=-8/\left(32\right)=-0.25m$

$Ycom=\left[\right(\sigma \times 6\times 6)\times 0-(\sigma \times 2\times 2)\times 0]/(\sigma \times 6\times 6)-(\sigma \times 2\times 2)=0$