Question

The moment of inertia of a body depends UponThe moment of inertia of a solid sphere of mass M and radius R about a tangent to the sphere is

• A. $\frac{2}{5}MR^{2}$
• B. $\frac{6}{5}MR^{2}$
• C. $\frac{4}{5}MR^{2}$
• D. $\frac{7}{5}MR^{2}$

Answer 1

Answer: (D)

$\frac{7}{5}MR^{2}$

Answer 2

Moment of inertia of the solid sphere of mass M and radius R about any diameter is

$I_{diamete} = \frac{2}{5}MR^{2}$

According to theorem of parallel axes

$I_{\tan gent} = I_{diameter} + MR^{2}$,$I_{Li'kZT;k} = I_{O;kl} + MR^{2} = \frac{2}{5}MR^{2} + MR^{2} = \frac{7}{5}MR^{2}$