Question

If a solid sphere and solid cylinder of same mass and density rotate about their own axis the moment of inertia will be greater for

• A. Solid sphere
• B. Solid Cylinder
• C. Both a and b
• D. Equal both

Answer 1

The correct option is B Solid Cylinder

Moment of inertia of solid cylinder about z-axis passing through its centre and parallel to its height is given by: $I_C=\frac{1}{2}M{R}^2=0.5M{R}^2$

Moment of inertia of solid cylinder about an axis passing through its centre s given by:

$I_S=\frac{2}{5}M{R}^2=0.4M{R}^2$

So, $I_C>I_S$