Question

Moment of inertia of spherical shell about its tangent

Answer 1

Answer:

The moment of inertia is smallest when we take a axis passing through the centre of mass. Since centre of mass and of sphere is centre of sphere, the moment of inertia is smallest about an axis paasing through the centre of sphere.

The formula relating moment of inertia of any body about an axis passing through the centre of mass and moment of inertia about an axis parallel to the axis passing through the centre of mass is,

Ic+md2=Ip

Where d=distance between parallel axes

Ic=moment of inertia about axis passing through the centre of mass

Ip=axis parallel to axis passing through the centre of mass

This is called Parallel axis theorem