Question

The mass of a hollow sphere is 1 kg and its inner and outer radius are 0.1 m and 0.2 m respectively. Calculate the moment of inertia of the sphere along the diameter and radius of gyration.

Answer 1

Given M = 1 kg; outer radius R₁ = 0.2 m; inner radius, R₂ = 0.1m; I = ?; K = ?
Moment of inertia of the hollow sphere about its diameter,

If the radius of gyration be K, then