Responder
When John is the load on the see-saw:
1. **With Sipho as the fulcrum and an equal effort:** The lever is balanced (MA = 1).
2. **With Peter as the effort (heavier than John):** The lever has a mechanical disadvantage (MA < 1).
3. **With Sureshin as the effort (lighter than John):** The lever has a mechanical advantage (MA > 1).
So, the **Mechanical Advantage (MA)** depends on the relative weights of the effort and the load:
- **MA = 1** when effort equals load.
- **MA < 1** when effort is greater than load.
- **MA > 1** when effort is less than load.
Solución
Let's analyze each scenario involving John, Sipho, Peter, and Sureshin on the see-saw (acting as a lever). We'll determine the **Mechanical Advantage (MA)** in each case based on the weights (forces) involved.
**Mechanical Advantage (MA)** in a lever system is defined as the ratio of the **Load Force** (weight to be moved) to the **Effort Force** (force applied to move the load):
\[
\text{MA} = \frac{\text{Load Force}}{\text{Effort Force}}
\]
- **MA > 1**: The lever provides a mechanical advantage, meaning the effort force is less than the load force.
- **MA = 1**: The lever is balanced; effort and load forces are equal.
- **MA < 1**: The lever has a mechanical disadvantage, meaning the effort force is greater than the load force.
Let's examine each scenario:
---
### **1. John as the Load and Sipho as the Joint (Fulcrum)**
- **Scenario Description:**
- **Load:** John remains on the see-saw.
- **Fulcrum:** Sipho acts as the pivot point.
- **Effort:** Not explicitly mentioned, but assuming another person (let's say Effortator) is applying force on the opposite side to balance or move the load.
- **Analysis:**
- Since the fulcrum is managed by Sipho and John is on one side, the position of the effort relative to the fulcrum will determine the MA.
- **If Effortator applies a force equal to John's weight at an equal distance from the fulcrum:**
- **MA = 1** (Balanced see-saw).
- **If Effortator applies a force greater or lesser than John's weight or at different distances:**
- **MA > 1 or MA < 1** accordingly.
- **Conclusion:**
- **Without specific weights and distances,** it's likely that if they're simply sitting symmetrically, **MA ≈ 1**.
---
### **2. John as the Load and Peter as the Effort (Sipho Off the See-Saw)**
- **Scenario Description:**
- **Load:** John remains on the see-saw.
- **Effort:** Peter joins, and his weight is **heavier than John's**.
- **Fulcrum:** Remains unchanged (assuming central position).
- **Analysis:**
- **Effort Force > Load Force** (Peter is heavier than John).
- **MA = Load / Effort < 1** because the effort needed is greater to lift or balance the load.
- **Implications:**
- **Mechanical Disadvantage (MA < 1):** More effort is required to move or balance John's weight due to Peter's heavier effort force.
- **Conclusion:**
- **MA < 1**
---
### **3. John as the Load and Sureshin as the Effort (Peter Off the See-Saw)**
- **Scenario Description:**
- **Load:** John remains on the see-saw.
- **Effort:** Sureshin joins, and his weight is **less than John's**.
- **Fulcrum:** Remains unchanged.
- **Analysis:**
- **Effort Force < Load Force** (Sureshin is lighter than John).
- **MA = Load / Effort > 1** because less effort is needed to lift a heavier load.
- **Implications:**
- **Mechanical Advantage (MA > 1):** Sureshin can lift or balance John's weight more easily, possibly by applying less force over a longer distance or through leveraging arms.
- **Conclusion:**
- **MA > 1**
---
### **Summary Table**
| **Scenario** | **Load** | **Effort** | **MA** |
|---------------------------------------------|----------|------------|----------|
| John as Load, Effort Equal (Balanced) | John | Equal to John | **= 1** |
| John as Load, Peter (Heavier Effort) | John | Peter (heavier) | **< 1** |
| John as Load, Sureshin (Lighter Effort) | John | Sureshin (lighter) | **> 1** |
---
### **Key Takeaways**
1. **Balanced Lever (MA = 1):** When effort and load forces are equal and applied at equal distances from the fulcrum, the lever remains balanced.
2. **Mechanical Disadvantage (MA < 1):** When the effort force is greater than the load force, more effort is needed to move the load.
3. **Mechanical Advantage (MA > 1):** When the effort force is less than the load force, less effort is required to move a heavier load, which is advantageous for lifting or balancing heavy objects with minimal effort.
Understanding the **Mechanical Advantage** helps in designing systems that optimize force usage, making tasks easier based on the lever's configuration.
Revisado y aprobado por el equipo de tutoría de UpStudy
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