Rotational inertia about axis and through center of mass

The parallel-axis theorem relates the rotational inertia of a body about any axis to that of the same body about a parallel axis that extends through the body’s center of mass of mass).

Conditions:

1. The two axes must be parallel to each other.

2. The axis used in the calculation of \(I_\text{com}\) must pass through the body’s center of mass.

Links:

1. Wikipedia.

rotational_inertia

rotational_inertia about some axis.

Symbol:

I

Latex:

\(I\)

Dimension:

length**2*mass

rotational_inertia_through_com

rotational_inertia about an axis that is parallel to the given one and passes through the center of mass.

Symbol:

I_com

Latex:

\(I_\text{com}\)

Dimension:

length**2*mass

mass

The mass of the body.

Symbol:

m

Latex:

\(m\)

Dimension:

mass

distance_between_axes

euclidean_distance between the axes.

Symbol:

d

Latex:

\(d\)

Dimension:

length

law

I = I_com + m * d^2

Latex:

\[I = I_\text{com} + m d^{2}\]