Question

A uniform thin rod of length $L$ and mass $M$ is bent at the middle point $O$ as shown in figure. Consider an axis passing through its middle point $O$ and perpendicular to the plane of the bent rod. Then moment of inertia about this axis is :

• A. $\frac{2}{3}m{L}^2$
• B. $\frac{1}{3}m{L}^2$
• C. $\frac{1}{12}m{L}^2$
• D. dependent on $\theta$

Answer 1

The correct option is C $\frac{1}{12}m{L}^2$

Step 1, Given data and related image

Mass of the rod = M

Length of the rod = L