Question

From a uniform square plate the shaded portions are removed as shown in figure. The coordinates of centre of mass of the remaining plate are x,y. Axes and origin are shown in figure.

• A. $x<\frac{a}{2},y<\frac{a}{2}$
• B. $x>\frac{a}{2},y>\frac{a}{2}$
• C. $x<\frac{a}{2},y>\frac{a}{2}$
• D. $x>\frac{a}{2},y<\frac{a}{2}$

Answer 1

The correct option is D $x>\frac{a}{2},y<\frac{a}{2}$

We know that COM is closer to heavier portion and away from lighter portion,

Thus removing the shaded part COM will shift a bit downwards and a bit rightwards,

Thus x>a/2 and y<a/2