A Uniform Rod

Q. A wire of mass $m\text{kg}$ with uniform cross section is bent in the shape as shown in figure. If origin is taken at $\text{O}$, find the co-ordinates of the center of mass of the given system (in metres).

1. $(\frac{15}{14},\frac{12}{14})$
2. $(\frac{15}{7},\frac{12}{7})$
3. $(2,2)$
4. $(\frac{12}{7},\frac{15}{7})$

Q. A uniform rod of length $10\text{m}$ is placed along $x$ axis as shown in figure. The distance of the centre of mass of the rod from the origin is

1. $20\text{m}$
2. $5\text{m}$
3. $15\text{m}$
4. $25\text{m}$