The position vector of the center of mass \( \vec{r}_{c m} \) of an asymmetric bar of negligible...

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The position vector of the center of mass \( \vec{r}_{c m} \) of an asymmetric bar of negligible area of cross- section as shown in figure is
[JEE (Main) 2019]
(a) \( \vec{r}_{c m}=\frac{3}{8} L \hat{x}+\frac{11}{8} L \hat{y} \)
(b) \( \vec{r}_{c m}=\frac{11}{8} L \hat{x}+\frac{3}{8} L \hat{y} \)
(c) \( \vec{r}_{c m}=\frac{13}{8} L \hat{x}+\frac{5}{8} L \hat{y} \)
(d) \( \vec{r}_{c m}=\frac{5}{8} L \hat{x}+\frac{13}{8} L \hat{y} \)
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