Calculating Moment of Mass: Clarification Needed

[Nyasha]

Homework Statement

Guys l would like a clarification on the formulas for calculating the moment of mass.

The Attempt at a Solution

For vertical strips :

$$M(y-axis)=\int_a^bx\rho[f(x)-g(x)] dx$$

$$M(x-axis)=\frac{1}{2}\rho\int_a^b[f(x)+g(x)][f(x)-g(x)]dx$$

For Horizontal strips :


$$M(y-axis)=\frac{1}{2}\rho\int_a^b[f(y)+g(y)][f(y)-g(y)]dy$$


$$M(x-axis)=\int_a^bx\rho[f(y)-g(y)]dy$$

 

[Nyasha]

Guys is it me only, the forum is behaving weirdly. When l log in l am getting all sough of errors saying warning file cache system. I also can't get the latex code to work no matter what l do