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:
The rotational inertia is calculated for the same axis for all parts of the system.
Links:
- total_rotational_inertia¶
Total
rotational_inertia
of the system.
- Symbol:
I
- Latex:
\(I\)
- Dimension:
length**2*mass
- index¶
Index assigned to each part of the system.
- rotational_inertia¶
rotational_inertia
of the \(k\)-th part of the system.
- Symbol:
I[k]
- Latex:
\({I}_{k}\)
- Dimension:
length**2*mass
- law¶
I = Sum(I[k], k)
- Latex:
- \[I = \sum_k {I}_{k}\]