Refer to section shown in Figure $2$ below, and answer the following

Figure $2$

a$)$ Determine the location $\frac{?}{\text{b}\text{a}\text{r}}(y)($ distance from bottom side of the cross section to neutral

axes$)$ for the horizontal principle axis $-$

$(3$ marks$)$

b$)$ Calculate $I_{}$ and $I_{yy}$

$(6$ marks$)$

c$)$ Calculate $r_{}$ and $r_{yy}$

$(2$ marks$)$

d$)$ Calculate $z_{yy}$

$(1$ mark$)$

e$)$ Calculate $Z_{}$ for top flange

$(1$ mark$)$

Note: appropriate units are required to be shown for each answer