Only rotating bodies can have angular momentum.

Answer

To determine whether the statement "Only rotating bodies can have angular momentum" is true or false, we can analyze the concept of angular momentum and the conditions under which it exists.

### Step-by-Step Solution:

1. **Understanding Angular Momentum**:
- Angular momentum (L) is defined as the product of the moment of inertia (I) and the angular velocity (ω) of a rotating body.
- The formula for angular momentum is given by:
\[ L = I \cdot \omega \]
- For a body to have angular momentum, it is commonly thought that it must be rotating about its own axis.

2. **Considering Non-Rotating Bodies**:
- A body can also have angular momentum if it is moving in a circular path, even if it is not rotating about its own axis.
- For example, consider a mass moving in a circular motion. The angular momentum can be calculated using the formula:
\[ L = m \cdot v \cdot r \]
where \(m\) is the mass, \(v\) is the linear velocity, and \(r\) is the radius of the circular path.

3. **Applying Torque**:
- If a torque is applied to a body, it can change the angular momentum of that body. The relationship is given by:
\[ \tau = \frac{dL}{dt} \]
where \(\tau\) is the torque.
- If torque is applied to a non-rotating body moving in a circular path, it will have a change in angular momentum, indicating that the angular momentum is non-zero.

4. **Conclusion**:
- Since we have established that a body can possess angular momentum while moving in a circular path without rotating about its own axis, the statement "Only rotating bodies can have angular momentum" is **false**.
- Therefore, a non-rotating body can indeed have angular momentum.

### Final Answer:
The statement "Only rotating bodies can have angular momentum" is **false**.

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