Question

Moment of inertia of a square plate of mass $'m'$ and side $'a'$ about the given axis is equal to (axis is in the plane of the plate and passing through its geometric centre).

• A. $\frac{m a^{2}}{6}$
• B. $\frac{m a^{2}}{12}$
• C. $\frac{m a^{2}}{24}$
• D. $\frac{m a^{2}}{48}$

Answer 1

Answer: (B)

Using perpendicular axis theorem
$I_{z}=I+I$
$\Rightarrow 2I=\frac{m a^{2}}{6}$
$\Rightarrow I=\frac{m a^{2}}{12}$