A $1\mathrm{.}7$ m thin brass rod is bent in half to form a right$-$angled L $,$ as shown in figure $1.$ The corner of the L is located at the origin. The rod has a mass per unit length of $500\frac{g}{m}.$

Determine the position vec$(r{)}_{cm}$ of the L$-$rod's center of mass.

Enter your answer using ij unit vector notation. Round numerical values to two significant figures.

vec$(r{)}_{cm}=$

m

Incorrect Answer

A different rod with the same mass per unit length, $500\frac{g}{m},$ is bent into an asymmetric Z shape, as shown in the figure. The lengths of the segments are $a=1\mathrm{.}3m,b=0\mathrm{.}15m,$ and $c=0\mathrm{.}35m.$