Question

moment of inertia of a thin uniform rod

Answer 1

well moment of inertia of a thin rid perpendicular to its plane and passing through its centre is given by. I =ML²/12
While moment of inertia passing through its axis and parallel to the centre of gravity is miven by. I = ML²/ 4

Answer 2

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

We can calculate the moment of inertia of rod along three axis.

1. An axis perpendicular to the rod and passing through the one end.

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

2. An axis perpendicular to the rod and passing through the middle point.

$\boxed {I=\frac{{ML}^{2}}{12}}$

3. An axis perpendicular to the rod passing through L/4 distance from one end of rod.

$\boxed{I=\frac{{7ML}^{2}}{48}}$