Four particles each of mass 100g are placed at the corners of a square of side 10cm. Find the moment of inertia of the system about an axis passing through the centre of the square and perpendicular to its plane. Find also the radius of gyration of the system.

Four particles each of mass 100g are placed at the corners of a square

1.	Four particles each of mass 100g are placed at the corners of a square of side 10cm. Find the moment of inertia of the system about an axis passing through the centre of the square and perpendicular to its plane. Find also the radius of gyration of the system.
Answer» Solution :mass `=m=100g`, RADIUS `r=5sqrt(2)cm` MOMENT of inertia `I=4mr^(2)` `=4xx100xx(5sqrt(2))^(2)=2XX10^(-3)kgm^(2)` `k=SQRT((I)/(M))=sqrt((2xx10^(-3))/(0.4))=0.07m=7cm`