Four cubes of side `a` each of mass `40g`, `20g`, `10g` and `20g` are arranged in XY plane as shown in the figure. The coordinates of COM of the combination with respect to point O is

Options

A. (a) `(19a)/(18)`, `(17a)/(18)`
B. (b) `(17a)/(18)`, `(11a)/(18)`
C. (c) `(17a)/(18)`, `(13a)/(18)`
D. (d) `(13a)/(18)`, `(17a)/(18)`

Answer

A

Explanation

`X_(CM)=(m_1X_1+m_2X_2+m_3X_3+m_4X_4)/(m_1+m_2+m_3+m_4)`
Similarly `Y_(CM)`.