Question

A wheel of radius $r$ consists of a thin uniform rim of mass $m$ and six thin spokes of mass $m$. What is the moment of inertia of the wheel about axis passing through $A$ and perpendicular to the plane?

• A. $6m{r}^2$
• B. $4m{r}^2$
• C. $3m{r}^2$
• D. $10m{r}^2$

Answer 1

The correct option is A $6m{r}^2$

For a wheel about symmetry axis $I=m{r}^2$

$\Rightarrow$ No. of spokes $=6$

$\therefore I=6m{r}^2$

Hence, the answer is $6m{r}^2.$