A Triangular Frame

Q. Three particles each of mass $m$ are placed at the corners of an equilateral triangle of side a as shown in the figure. The $x$-co-ordinate of centre of mass will be

1. $\frac{\sqrt{3}a}{2}$
2. $\frac{3a}{4}$
3. $\frac{a}{2}$
4. a

Q.

Three uniform rods forming a triangle would have the center of mass at

1. Circumcenter

2. Centroid

3. Orthocenter

4. Incenter

Q.

Three uniform rods forming a triangle would have the center of mass at

1. Circumcenter

2. Centroid

3. Orthocenter

4. Incenter

Q.

Three uniform rods forming a triangle would have the center of mass at

1. Circumcenter

2. Centroid

3. Orthocenter

4. Incenter

Q.

Three uniform rods forming a triangle would have the center of mass at

1. Orthocenter

2. Incenter

3. Centroid

4. Circumcenter