Question

The moment of inertia of a uniform semicircular wire of mass $M$ and radius $r$ about a line perpendicular to the plane of the wire through the centre is

• A. $M{r}^2$
• B. $\frac{1}{2}M{r}^2$
• C. $\frac{1}{4}M{r}^2$
• D. $\frac{2}{5}M{r}^2$

Answer 1

Answer: (A)

$I=\frac{2M{r}^2}{2}=M{r}^2$