From a `16cmxx8cm` rectangular uniform plane sheet, exactly one quarter of the sheet is removed as shown in figure. If the origin be taken at the centre of the sheet considered as shown in the figure the coordinates of the centre of mass of the remaining sheet is

Options

A. `(4//3,2//3)`
B. `(0,2//3)`
C. `(4//3,0)`
D. `(-4//3,-2//3)`

Explanation

Let mass of the full sheet is `4M`
`X_(cm)=(Mx-mx')/(M-m)=(4M(0)-M(4))/(4M-M)=-(4)/(3)`
`y_(cm)=(My-my')/(M-m)=(4M(0)-M(2))/(4M-M)=-(2)/(3)`