Question

Derived the expression for moment of initia of sphere

Answer 1

Moment of Inertia: Sphere




The moment of inertia of a sphere about its central axis and a thin spherical shell are shown.

For mass M =  kg
and radius R = cm
the moment of inertia of a solid sphere is
I(solid sphere) = kg m2
and the moment of inertia of a thin spherical shell is
I(spherical shell) = kg m2

Answer 2

The formula for moment of inertia is the “sum of the product of mass” of each particle with the “square of its distance from the axis of the rotation”. The formula of Moment of Inertia is expressed as I = Σ miri2.