IA and IB are the moment of inertia of two bodies A and B. They have same geometrical shape. If the first one A is made of gold and the second one B is made of steel, then
As the geometrical shape of the two bodies is same, so both of them have same volumes. So, the mass of body A=VA⋅ρA and the mass of body B=VB⋅ρB The moment of inertia of body A, IA=(VAρA)( distance )2 and the moment of inertia of body B, IB=(VBρB)( distance )2 As the volume and distance of both the bodies are same, then ∴I∝ρ So, body having higher density have greater moment of inertia. As the density of gold is greater than that of steel So, IA>IB