Question

The moment of inertia of a spherical shell about a tangent axis is

• A. $\frac{2}{5}M{R}^2$
• B. $\frac{7}{5}M{R}^2$
• C. $\frac{2}{3}M{R}^2$
• D. $\frac{5}{3}M{R}^2$

Answer 1

The correct option is D $\frac{5}{3}M{R}^2$

The moment of inertia of spherical shell about its centroidal axis is $\frac{2}{3}M{R}^2$. Thus using parallel axis theorem we get the moment of inertia about a tangent axis is $\frac{2}{3}M{R}^2+M{R}^2=\frac{5}{3}M{R}^2$