Section properties

Question $1$

The section consists of two angles L$76519\mathrm{.}5($with unequal legs$)$ as shown in the figure.

Calculate the following sectional properties:

$($a$)$ Area and location of centroid

$($b$)$ Moment of inertia about the centroid axes$---$Iy and $I_z$

$($c$)$ Orientation of principal axes and principal moment of inertia, $I_{\text{m}\text{a}\text{x}}$ and $I_{\text{m}\text{i}\text{n}}$