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:

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

Links:

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:: \[I = \frac{m l^{2}}{12}\]