(Solved): A 1.75m thin brass rod is bent in half to form a right-angled L, as shown in figure 1 . The corn ...

A $1.75\mathrm{m}$ thin brass rod is bent in half to form a right-angled $\mathrm{L}$, as shown in figure 1 . The corner of the $\mathrm{L}$ is located at the origin. The rod has a mass per unit length of $410\mathrm{g}/\mathrm{m}$. Find the center of gravity (c.g.) for this geometry. Give the answer in vector notation, ${\vec{r}}_{\text{c.g. }}$. A different rod with the same mass per unit length, $410\mathrm{g}/\mathrm{m}$, is bent into an asymmetric $\mathrm{Z}$ shape as shown in figure 2 . If $a=1.55\mathrm{m},b=0.155\mathrm{m}$, and $c=0.705\mathrm{m}$, what is the $\mathrm{c}.\mathrm{g}$. for this geometry?