1. Tardigrade
  2. Question
  3. Physics
  4. The moment of inertia of a solid sphere of mass M and radius R about a tangent to the sphere is

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. The moment of inertia of a solid sphere of mass $M$ and radius $R$ about a tangent to the sphere is

System of Particles and Rotational Motion

Solution:

image
Moment of inertia of the solid sphere of mass $M$ and radius $R$ about any diameter is
$I_{\text{diameter}} = \frac{2}{5}MR^2$
According to theorem of parallel axes
$I_{\text{tangent}} = I_{\text{diameter}} + MR^2$
$ = \frac{2}{5} MR^2 + MR^2 $
$= \frac{7}{5}MR^2$