Three identical spheres, each of mass $M ,$ are placed at the corners of a right angle triangle with mutually perpendicular sides equal to $2 \;m$ (see figure). Taking the point of intersection of the two mutually perpendicular sides as the origin, find the position vector of centre of mass.
Three identical spheres, each of mass $M ,$ are placed at the corners of a right angle triangle with mutually perpendicular sides equal to $2 \;m$ (see figure). Taking the point of intersection of the two mutually perpendicular sides as the origin, find the position vector of centre of mass.
- [NEET 2020]
- A
$\frac{4}{3}(\hat{i}+\hat{j})$
- B
$2(\hat{i}+\hat{j})$
- C
$(\hat{i}+\hat{j})$
- D
$\frac{2}{3}(\hat{i}+\hat{j})$
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