Slab about perpendicular axis through center

A solid slab is rotating about an axis that is perpendicular to the slab and goes through its center.

Conditions:

1. The slab is uniform.

Links:

1. Wikipedia, see table.

rotational_inertia

rotational_inertia of the slab.

Symbol:

I

Latex:

\(I\)

Dimension:

length**2*mass

length

length, or first slab dimension perpendicular to the axis.

Symbol:

l_1

Latex:

\(l_{1}\)

Dimension:

length

width

Width, or second slab dimension perpendicular to the axis. See length.

Symbol:

l_2

Latex:

\(l_{2}\)

Dimension:

length

mass

The mass of the slab.

Symbol:

m

Latex:

\(m\)

Dimension:

mass

law

I = m * (l_1^2 + l_2^2) / 12

Latex:

\[I = \frac{m \left(l_{1}^{2} + l_{2}^{2}\right)}{12}\]