Rotational inertia is additive

For a system composed of several parts, its total rotational inertia is the sum of the rotational inertia of each part of the system.

Conditions:

1. The rotational inertia is calculated for the same axis for all parts of the system.

Links:

1. Wikipedia, see second paragraph.

total_rotational_inertia

Total rotational inertia of the system.

Symbol:

I

rotational_inertia

Rotational inertia of the \(k\)-th part of the system.

Symbol:

I_k

Latex:

\(I_k\)

law

I = Sum(I_k, k)

Latex:

\[I = \sum_k I_k\]