Moment of inertia of a body does not depend on

Options

A. mass of the body
B. angular velcoity of the body
C. axis of rotation of the body
D. distribution of the mass of the body

Explanation

To determine what the moment of inertia of a body does not depend on, we can analyze the factors that influence it. The moment of inertia (I) is defined as the sum of the products of the mass of each point in the body and the square of its distance from the axis of rotation.

### Step-by-step Solution:

1. **Understanding Moment of Inertia**:
- The moment of inertia (I) is given by the formula:
\[ I = \sum m_i r_i^2 \]
where \( m_i \) is the mass of the point and \( r_i \) is the perpendicular distance from the axis of rotation to the point mass.

2. **Factors Affecting Moment of Inertia**:
- The moment of inertia depends on:
- The **mass** of the body (more mass means more inertia).
- The **distribution of mass** relative to the axis of rotation (how far the mass is from the axis).

3. **Identifying Non-dependence**:
- The moment of inertia does **not depend** on:
- The **angular velocity** of the body. Angular velocity is the rate of rotation and does not affect the distribution of mass or the mass itself.

4. **Conclusion**:
- Therefore, the moment of inertia of a body does not depend on the angular velocity of the body.

### Final Answer:
The moment of inertia of a body does not depend on the **angular velocity** of the body.

---