Class 11 Physics System of Particles and Rotational Motion moment of inertia By Seekh Raha Hoon

Class 11 Physics System of Particles and Rotational Motion moment of inertia of the eight point masses about an axis passing through one edge by Seekh Raha Hoon

Eight point objects, each of mass M, are the vertices of a rigid, massless framework in the form of a cube; each side is of length a. What is the moment of inertia of this arrangement about an axis passing through one edge of the cube?

The moment of inertia of the arrangement about an axis passing through one edge of the cube is 8Ma2.

The moment of inertia, otherwise known as the mass moment of inertia, angular/rotational mass, second moment of mass, or most accurately, rotational inertia, of a rigid body is defined relative to a rotational axis. It is the ratio between the torque applied and the resulting angular acceleration about that axis

o find the moment of inertia of the eight point masses about an axis passing through one edge of the cube, we need to consider the distances of each mass from the axis. The cube has eight vertices, and the axis passes through one edge, which means it goes through two vertices of the cube. The remaining six vertices will have different distances from this axis.