A machine works as a (i) force multiplier, (ii) speed multiplier. In each case state whether the velocity ratio is more than or less than 1.

Answer

To solve the question, we need to analyze the two cases of machines: one that works as a force multiplier and another that works as a speed multiplier. We will determine the velocity ratio (VR) for each case.

### Step-by-Step Solution:

1. **Understanding Force Multiplier:**
- A machine that acts as a force multiplier allows a smaller input force (effort) to lift a larger load.
- In this case, the displacement of the load is less than the displacement of the effort. This means that for a given distance moved by the effort, the load moves a shorter distance.

2. **Calculating Velocity Ratio for Force Multiplier:**
- The velocity ratio (VR) is defined as the ratio of the distance moved by the effort to the distance moved by the load.
- Mathematically, VR = (Distance moved by effort) / (Distance moved by load).
- Since the distance moved by the load is less than the distance moved by the effort, VR will be greater than 1.

**Conclusion for Force Multiplier:**
- Velocity Ratio (VR) > 1.

3. **Understanding Speed Multiplier:**
- A machine that acts as a speed multiplier allows the load to move faster than the effort.
- In this case, the displacement of the load is greater than the displacement of the effort. This means that for a given distance moved by the effort, the load moves a longer distance.

4. **Calculating Velocity Ratio for Speed Multiplier:**
- Again, using the definition of velocity ratio, VR = (Distance moved by effort) / (Distance moved by load).
- Since the distance moved by the load is greater than the distance moved by the effort, VR will be less than 1.

**Conclusion for Speed Multiplier:**
- Velocity Ratio (VR) < 1.

### Final Answer:
- (i) For a force multiplier, the velocity ratio is **more than 1**.
- (ii) For a speed multiplier, the velocity ratio is **less than 1**.