Thin rod about axis through center perpendicular to length

A thin rod is rotating about an axis that passes through its center perpendicular to its length.

Conditions:

1. The rod is uniform.

2. The rod is thin, i.e. its diameter is much less than its length.

Links:

1. Wikipedia, third row of table.

rotational_inertia

rotational_inertia of the rod.

Symbol:

I

Latex:

$I$

Dimension:

length**2*mass

length

length of the rod.

Symbol:

l

Latex:

$l$

Dimension:

length

mass

The mass of the rod.

Symbol:

m

Latex:

$m$

Dimension:

mass

law

I = m * l^2 / 12

Latex:

$$I=\frac{m{l}^2}{12}$$