Question

From a unifrom disc of radius $R$ an equilateral triangle of side $\sqrt{3}R$ is cut as shown. The new position of centre of mass is

• A. $(0,0)$
• B. $\left(0.R\right)$
• C. $(R,0)$
• D. $0.\frac{\sqrt{3}}{2R}$

Answer 1

The correct option is B $\left(0.R\right)$

$(0,R)$

after the triangle is cut out, the remaining mass is symmetric about the center.

hence the center of the mass remains at the same position.