Three rods of the same mass are placed as shown in the figure. Calculate the coordinates of the centre of mass of the system.

Options

A. `(a/2,a/2)`
B. `(a/sqrt(2), a/sqrt(2))`
C. 2a/3, 2a/3
D. a/3, a/3

Answer

A

Explanation

`x_(CM) = (m_(1)+m_(2)+m_(3))/(m_(1)+m_(2)+m_(3))`
`=(m)(a//2)+(m)(a/2)+m(a/2))/(m + m +m)`=`a/2`
Similarly, `y_(CM) = a/2`