A square plate of side 20cm has uniform thickness and density. A circular part of diameter 8cm is cut out symmetrically and shown in figure. The position of center of mass of the remaining potion is

Options

A. at `O_(1)`
B. at O
C. 0.54 cm from O on the left hand side
D. None of the above

Answer

D

Explanation

`A_(1)x_(1) = A_(2)x_(2)` or `x_(1) = A/(2)/A_(1).x-(2) = ((pi/4)(8)^(2))/(20)^(2) xx 6`
= 0.7536 cm from O.