Question

Moment of inertia of uniform rod with an axis of rotation passing through the end of the rod

Answer 1

$\textbf{\large{Answer -}}$

The moment of inertia of uniform rod with an axis of rotation passing through the end of the rod is

$\boxed{I = \frac {1}{3}M{L}^{2}}$

Refer to the attachment for explanation.

Answer 2

$\textbf{Answer is in attachment!}$