Question

The distance of the centre of mass of the T-shaped plate from O is

• A. 7 m
• B. 2.7 m
• C. 4 m
• D. 1.7 m

Answer 1

The correct option is D 1.7 m

Taking O as Origin for the co-ordinate system, taking horizontal as a X-axis and vertical as a Y-axis.

So

The position of the center of mass is given as $\frac{A_1{y}_1+A_2{y}_2}{A_1+A_2}$

Substituting the values we get,
$\frac{16\left(0\right)+12(-4)}{16+12}=\frac{-48}{28}=-1.7$
Negative side indicated $1.7cm$ downwards.