Does the radius of gyration depend on the speed of the rigid body?

Explanation

To determine whether the radius of gyration depends on the speed of a rigid body, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Definition of Radius of Gyration**:
The radius of gyration (denoted as \( k \)) is defined as the distance from an axis at which the entire mass of the body can be considered to be concentrated, such that the moment of inertia about that axis remains the same. Mathematically, it is expressed as:
\[
k = \sqrt{\frac{I}{M}}
...