Two hangers are attached by a string to a vertically mounted pulley system as shown. One  disk is bigger than the other, and the disks are attached to each other such that they rotate  together. The axle has negligible friction. The mass of the large disk is 1200 grams and the radius is 11 cm. The mass of the small disk is 400 grams and the radius is 4 cm. The high hanger has a mass of 200  grams and starts 80 cm above the ground. The lower mass starts on the ground and has a  mass of 100 grams. The hangers are released from rest. What is the velocity of the 200  gram hanger when it hits the floor?

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Two hangers are attached by a string to a vertically mounted pulley system as shown. One 
disk is bigger than the other, and the disks are attached to each other such that they rotate 
together. The axle has negligible friction. The mass of the large disk is 1200 grams and the radius is 11 cm. The mass of the small disk is 400 grams and the radius is 4 cm. The high hanger has a mass of 200 
grams and starts 80 cm above the ground. The lower mass starts on the ground and has a 
mass of 100 grams. The hangers are released from rest. What is the velocity of the 200 
gram hanger when it hits the floor?

### Pulley System Diagram

**Description:**
The image depicts a simple pulley system used to lift weights. It consists of the following components:

- **Pulley Wheel:** Located at the top center of the diagram, the pulley allows the string or rope to move freely.
- **Support Structure:** A vertical support column is shown in blue underneath the pulley wheel. This provides stability to the system.
- **Weights:** There are two weights depicted as blue rectangles, one on each side of the pulley. They are suspended by strings running over the pulley wheel.
- **Strings:** Two green strings are connected to each weight, running over the pulley wheel.

**Purpose:**
This setup demonstrates a basic mechanical advantage, allowing for easier lifting of weights. Pulleys redirect the force applied, reducing the effort needed to lift heavy objects. 

**Applications:**
Understanding pulley systems is fundamental in physics and engineering, especially in areas related to mechanics and machinery. They are widely used in construction, elevators, and various lifting devices.

### Educational Objective:
Study this diagram to enhance comprehension of mechanical systems and their real-world applications. Analyze how altering the weight or number of pulleys can impact the required input force.
Transcribed Image Text:### Pulley System Diagram **Description:** The image depicts a simple pulley system used to lift weights. It consists of the following components: - **Pulley Wheel:** Located at the top center of the diagram, the pulley allows the string or rope to move freely. - **Support Structure:** A vertical support column is shown in blue underneath the pulley wheel. This provides stability to the system. - **Weights:** There are two weights depicted as blue rectangles, one on each side of the pulley. They are suspended by strings running over the pulley wheel. - **Strings:** Two green strings are connected to each weight, running over the pulley wheel. **Purpose:** This setup demonstrates a basic mechanical advantage, allowing for easier lifting of weights. Pulleys redirect the force applied, reducing the effort needed to lift heavy objects. **Applications:** Understanding pulley systems is fundamental in physics and engineering, especially in areas related to mechanics and machinery. They are widely used in construction, elevators, and various lifting devices. ### Educational Objective: Study this diagram to enhance comprehension of mechanical systems and their real-world applications. Analyze how altering the weight or number of pulleys can impact the required input force.
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