Question

The M.I. of uniform solid sphere about its diameter is 'I'. Its moment of inertia about a tangent is ___________.

• A. $\frac{4}{3}I$
• B. $\frac{5}{4}I$
• C. $\frac{5}{3}I$
• D. $\frac{7}{2}I$

Answer 1

The correct option is D $\frac{7}{2}I$

$I=\frac{2}{5}M{R}^2{I}_T=I+M{R}^2=I+\frac{5}{2}I=\frac{7}{2}I$