A stone is suspended from the free end of a wire that is wrapped around the outer rim of a pulley, similar to what is shown in (Figure 1). The pulley is a uniform disk with mass 10.0 kg and radius 23.0 cm and turns on frictionless bearings. You measure that the stone travels a distance 12.2 m during a time interval of 3.00 s starting from rest.

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A stone is suspended from the free end of a wire that is wrapped around the outer rim of a pulley, similar to what is shown in Figure 1. The pulley is a uniform disk with mass 10.0 kg and radius 23.0 cm and turns on frictionless bearings. You measure that the stone travels a distance of 12.2 m during a time interval of 3.00 s starting from rest.
Transcribed Image Text:A stone is suspended from the free end of a wire that is wrapped around the outer rim of a pulley, similar to what is shown in Figure 1. The pulley is a uniform disk with mass 10.0 kg and radius 23.0 cm and turns on frictionless bearings. You measure that the stone travels a distance of 12.2 m during a time interval of 3.00 s starting from rest.
The diagram illustrates a pulley system used in physics to demonstrate principles of mechanics and energy transfer.

1. **Components**:
   - A circular pulley with mass \( M \) and radius \( R \) is depicted at the top of the diagram.
   - The pulley is fixed to a pivot point, allowing it to rotate.
   - A solid block with mass \( m \) hangs vertically from the pulley by a string.

2. **Measurements**:
   - The vertical distance from the bottom of the block to the ground is denoted as \( h \).
   - The string is shown as a solid line, indicating the connection between the pulley and the block.

3. **Explanation**:
   - This setup can be used to explore concepts such as gravitational potential energy, kinetic energy, and rotational motion.
   - As the block is released, it falls under the influence of gravity, causing the pulley to rotate.
   - The system exemplifies energy conservation principles where potential energy is converted into kinetic energy of both translational and rotational forms.
Transcribed Image Text:The diagram illustrates a pulley system used in physics to demonstrate principles of mechanics and energy transfer. 1. **Components**: - A circular pulley with mass \( M \) and radius \( R \) is depicted at the top of the diagram. - The pulley is fixed to a pivot point, allowing it to rotate. - A solid block with mass \( m \) hangs vertically from the pulley by a string. 2. **Measurements**: - The vertical distance from the bottom of the block to the ground is denoted as \( h \). - The string is shown as a solid line, indicating the connection between the pulley and the block. 3. **Explanation**: - This setup can be used to explore concepts such as gravitational potential energy, kinetic energy, and rotational motion. - As the block is released, it falls under the influence of gravity, causing the pulley to rotate. - The system exemplifies energy conservation principles where potential energy is converted into kinetic energy of both translational and rotational forms.
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