Find the `x` coordinate of the centre of mass of the bricks shown in figure`:`

Options

A. `(24)/(25)l`
B. `(25)/(24)l`
C. `(15)/(16)l`
D. `(16)/(15)`

Answer

(B)

Explanation

`X_(cm) = (m((l)/(2)) + m ((l)/(2) + (l)/(2)) + m ((l)/(2) + (l)/(4) + (l)/(2)) + m ((l)/(2) + (l)/(4) + (l)/(6) + (l)/(2)))/(m + m + m + m) = (25)/(24)l`