An arrow sign is made by cutting and rejoining a quarter part of a square plate of side 'L' as shown. The distance OC, where C is the centre of mass of the arrow, is

Options

A. `(L)/(3)`
B. `(L)/(4)`
C. `(3L)/(8)`
D. None of these

Answer

B

Explanation

`bar(x) = ((M xx 0) + ( -(M)/(4) xx (-L)/(3)) + ((M)/(4) xx (4L)/(6)))/(M) = (L)/(4)`