Chapter 9 - Further Applications of the Integral and Taylor Polynomials - 9.3 Center of Mass - Preliminary Questions - Page 483: 3

$$M_x =5,\ \ \ M_y=10$$

The $x-$moment of the plate is the product of the mass of the plate and the $y-$coordinate of the center of mass, whereas the $y-$moment is the product of the mass of the plate and the $x-$coordinate of the center of mass. Thus, $$M_x = 5(1) = 5$$ and $$My = 5(2) = 10$$