Home
Class 11
PHYSICS
Two solid sphere (A and B) are made of m...

Two solid sphere (`A` and `B`) are made of metals of different densities `rho_A` and `rho_B` respectively. If their masses are equal, the ratio of their moments of inertia `(I_A/I_B)` about their respective diameter is

Text Solution

Verified by Experts

As two solid spheres are equal in masses, so
`m_(A)=m_(B)implies4/3piR_(A)^(3)rho_(A)=4/3piR_(B)^(3)rho_(B)rArr(R_(A))/(R_(B))=((rho_(B))/(rho_(A)))^(1//3)`
The moment of inertia of sphere about diameter
`I=2/5 mR^(2)rArr(I_(A))/(I_(B))=((R_(A))/(R_(B)))^(2)rArr(I_(A))/(I_(B))=((rho_(B))/(rho_(A)))^(2//3)`
Promotional Banner

Similar Questions

Explore conceptually related problems

Two solid spheres are made of the same material. The ratio of their diameters is 2: 1. The ratio of their moments of inertia about their respective diameters is

Two solid spheres are made up of the same material of density rho . The ratio of their radii is 1 : 2 . The ratio of their moments of inertia about their respective diameters is

Two solid spheres A and B each of radius R are made of materials of densities rho_A and rho_B respectively. Their moments of inertia about a diameter are I_A and I_B respectively. The value of I_A/I_B is

Two circular disc of same mass and thickness are made from metals having densities rho_(1) and rho_(2) respectively. The ratio of their moment of inertia about an axis passing through its centre is,

Two solid spheres of the same are made of metals of different densities. Which of them has a larger moment of inertia about a diameter ?

If two liquids of same mass but densities rho_1 and rho_2 respectively are mixed, then the density of the mixture is:

A solid sphere and a hollow sphere are identical in mass and radius. The ratio of their moment of inertia about diameter is :

What is moment of inertia of a solid sphere about its diameter ?

Two discs A and B have same mass and same thickness. If d_1 and d_2 are the densities of the materials of the discs A and B respectively, then the ratio of the moment of inertia of the discs A and B about their geometrical axis is