Where can the fulcrum of a lever not be ?

Options

A. the end of the bar
B. the middle of the bar
C. between the middle and the end
D. not touching the bar

Explanation

**Step-by-Step Solution:**

1. **Understanding the Fulcrum:**
- A fulcrum is the fixed point around which a lever rotates. It is essential for the functioning of a lever as it provides the pivot point for movement.

2. **Analyzing the Options:**
- We have four options to consider for the position of the fulcrum:
1. At the end of the bar
2. In the middle of the bar
3. Between the middle and the end of the bar
4. Not touching the bar

3. **Evaluating Each Option:**
- **Option 1: At the end of the bar**
- The fulcrum can be placed at the end of the bar. This allows the lever to rotate around it effectively. Therefore, this option is valid.

- **Option 2: In the middle of the bar**
- The fulcrum can also be placed in the middle of the bar. This allows for balanced movement on both sides of the fulcrum. Hence, this option is also valid.

- **Option 3: Between the middle and the end of the bar**
- The fulcrum can be placed anywhere between the middle and the end of the bar. This position allows for the lever to function properly, making this option valid as well.

- **Option 4: Not touching the bar**
- If the fulcrum does not touch the bar, it cannot provide a pivot point for rotation. Therefore, this option is invalid.

4. **Conclusion:**
- The only position where the fulcrum cannot be is "not touching the bar." Thus, the answer is that the fulcrum of a lever cannot be not touching the bar.

**Final Answer:**
The fulcrum of a lever cannot be not touching the bar.

---