Suppose you use an ideal pulley of the type shown in Figure 5.18(c) to support a car engine of mass 130 kg. What would the tension in the rope be?  N What force must the ceiling supply, assuming you pull straight up on the rope? The pulley system's mass is 5.00 kg.  N (upward)

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Suppose you use an ideal pulley of the type shown in Figure 5.18(c) to support a car engine of mass 130 kg.

What would the tension in the rope be?
 N
What force must the ceiling supply, assuming you pull straight up on the rope? The pulley system's mass is 5.00 kg.
 N (upward)

### Understanding Different Pulley Systems

Pulley systems are used to lift heavy loads with reduced force. Here, we examine three different pulley systems. Each system consists of fixed and movable pulleys arranged in various configurations that impact the effort required to lift a load.

#### Pulley System I
- **Configuration:** This setup includes a single fixed pulley and a single movable pulley. A rope passes over the fixed pulley, continues downward around the movable pulley, and is then secured to the fixed support.
- **Function:** The fixed pulley changes the direction of the force applied. The movable pulley allows the load to be lifted with less force.
- **Force Distribution:** The force is distributed between the rope sections, effectively halving the required input force to lift the load compared to lifting it directly.

#### Pulley System II
- **Configuration:** This system employs two movable pulleys paired with a single fixed pulley at the top. The rope loops around the fixed pulley, continues down and around the movable pulleys.
- **Function:** This setup further reduces the force needed to lift the load. Each additional movable pulley decreases the required input force.
- **Force Distribution:** The load is supported by four sections of the rope, so each section carries one-fourth of the load weight, thereby quartering the effort needed to lift the load.

#### Pulley System III
- **Configuration:** This system includes two fixed pulleys and two movable pulleys. The rope passes through all pulleys in a more complex loop.
- **Function:** This arrangement maximizes the mechanical advantage, greatly reducing the force needed to lift the load.
- **Force Distribution:** The load is supported by multiple rope sections. Each section bears a fraction of the load, significantly reducing the required lifting force.

### Key Takeaways
- Pulley systems reduce the force needed to lift heavy objects.
- The more pulleys added to the system, the less force is required to lift a given load.
- Fixed pulleys change the direction of applied force, while movable pulleys decrease the necessary input force.

The diagrams depict different pulley configurations and illustrate how the force exerted by pulling on the rope is distributed across the various pulley setups, highlighting the mechanical advantages provided by each system. Understanding these principles is crucial for efficiently designing systems for lifting heavy objects in practical applications.
Transcribed Image Text:### Understanding Different Pulley Systems Pulley systems are used to lift heavy loads with reduced force. Here, we examine three different pulley systems. Each system consists of fixed and movable pulleys arranged in various configurations that impact the effort required to lift a load. #### Pulley System I - **Configuration:** This setup includes a single fixed pulley and a single movable pulley. A rope passes over the fixed pulley, continues downward around the movable pulley, and is then secured to the fixed support. - **Function:** The fixed pulley changes the direction of the force applied. The movable pulley allows the load to be lifted with less force. - **Force Distribution:** The force is distributed between the rope sections, effectively halving the required input force to lift the load compared to lifting it directly. #### Pulley System II - **Configuration:** This system employs two movable pulleys paired with a single fixed pulley at the top. The rope loops around the fixed pulley, continues down and around the movable pulleys. - **Function:** This setup further reduces the force needed to lift the load. Each additional movable pulley decreases the required input force. - **Force Distribution:** The load is supported by four sections of the rope, so each section carries one-fourth of the load weight, thereby quartering the effort needed to lift the load. #### Pulley System III - **Configuration:** This system includes two fixed pulleys and two movable pulleys. The rope passes through all pulleys in a more complex loop. - **Function:** This arrangement maximizes the mechanical advantage, greatly reducing the force needed to lift the load. - **Force Distribution:** The load is supported by multiple rope sections. Each section bears a fraction of the load, significantly reducing the required lifting force. ### Key Takeaways - Pulley systems reduce the force needed to lift heavy objects. - The more pulleys added to the system, the less force is required to lift a given load. - Fixed pulleys change the direction of applied force, while movable pulleys decrease the necessary input force. The diagrams depict different pulley configurations and illustrate how the force exerted by pulling on the rope is distributed across the various pulley setups, highlighting the mechanical advantages provided by each system. Understanding these principles is crucial for efficiently designing systems for lifting heavy objects in practical applications.
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