If the density of material of a square plate and a circular plate shown in figure is same, the centre of mass of the composite system will be

Options

A. inside the square plate
B. inside the circular plate
C. at the point of contact
D. outside the system

Answer

A

Explanation

If `sigma` is mass per unit area , then mass of square plate is `l^(2) sigma` and mass of circular plate is `(pi l^(2) sigma)/(4)` . Since the square plate is more massive than the circular plate , therefore the centre of mass of the composite system is inside the square plate .