What is the velocity ratio of a single fixed Pulley?

Answer

To find the velocity ratio of a single fixed pulley, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Definition of Velocity Ratio (VR)**:
- The velocity ratio is defined as the ratio of the distance moved by the effort to the distance moved by the load.
- Mathematically, it can be expressed as:
\[ \text{Velocity Ratio (VR)} = \frac{\text{Distance moved by effort}}{\text{Distance moved by load}} \]

2. **Identify the Movement in a Single Fixed Pulley**:
- In the case of a single fixed pulley, the distance moved by the effort (the rope pulled) is equal to the distance moved by the load (the weight being lifted).
- Therefore, we can denote:
\[ \text{Distance moved by effort} = \text{Distance moved by load} \]

3. **Set Up the Ratio**:
- Since both distances are equal, we can substitute them into the velocity ratio formula:
\[ \text{VR} = \frac{\text{Distance moved by effort}}{\text{Distance moved by load}} = \frac{d}{d} = 1 \]

4. **Conclusion**:
- The velocity ratio of a single fixed pulley is therefore:
\[ \text{VR} = 1 \]