Three masses 2 kg, 3 kg and 4 kg are lying on the vertices of an equilateral triangle of side a. The x-coordinate of the centre of mass is .......

Options

A. `7/12b`
B. `5/9a`
C. `(7sqrt(2))/9b`
D. `sqrt(5)/9a`

Answer

B

Explanation

Here `x_(CM)=(2 times 0+3a+4""a/2)/(2+3+4)=(10a)/(2 times 9)=5/9a`