A mobile is shown in the figure. The horizontal supports have negligible mass. Assume that all the numbers given in the figure are accurate to two significant figures. What mass M is required to balance the mobile?

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A mobile is shown in the figure. The horizontal supports have negligible mass. Assume that all the numbers given in the figure are accurate to two significant figures. What mass is required to balance the mobile? 

### Lever System Diagram

The image depicts a diagram of a lever system with various weights and distances from a fulcrum. The diagram consists of a horizontal lever with multiple connections at different points along its length, each holding a weight. Below is a detailed description of the lever system:

1. **Horizontal Lever:** The horizontal bar at the top serves as the lever arm.

2. **First Weight:**
   - Distance from the left end: 4 cm
   - Weight: M (unidentified mass)

3. **Second Weight:**
   - Distance from the left end: 8 cm (total lever length calculated from the left end)
   - Distance from the nearest point on the lever: 5 cm (vertically downward)
   - Weight: Unidentified

4. **Third Weight:**
   - Distance from the left end: 9 cm (total lever length calculated from the left end)
   - Distance from the nearest point on the lever: 2 cm (vertically downward)
   - Weight: Unidentified

5. **Fourth Weight:**
   - Distance from the left end: 13 cm (total lever length calculated from the left end)
   - Distance from the nearest point on the lever: 4 cm (vertically downward)
   - Weight: 5 g

Each vertical arm is connected perpendicularly to weights at a specific distance from the central horizontal lever. The weights and distances are crucial for understanding the balancing of forces in the system. 

This setup is useful for studying principles of mechanical advantage, equilibrium, and torque in the context of a physics education.
Transcribed Image Text:### Lever System Diagram The image depicts a diagram of a lever system with various weights and distances from a fulcrum. The diagram consists of a horizontal lever with multiple connections at different points along its length, each holding a weight. Below is a detailed description of the lever system: 1. **Horizontal Lever:** The horizontal bar at the top serves as the lever arm. 2. **First Weight:** - Distance from the left end: 4 cm - Weight: M (unidentified mass) 3. **Second Weight:** - Distance from the left end: 8 cm (total lever length calculated from the left end) - Distance from the nearest point on the lever: 5 cm (vertically downward) - Weight: Unidentified 4. **Third Weight:** - Distance from the left end: 9 cm (total lever length calculated from the left end) - Distance from the nearest point on the lever: 2 cm (vertically downward) - Weight: Unidentified 5. **Fourth Weight:** - Distance from the left end: 13 cm (total lever length calculated from the left end) - Distance from the nearest point on the lever: 4 cm (vertically downward) - Weight: 5 g Each vertical arm is connected perpendicularly to weights at a specific distance from the central horizontal lever. The weights and distances are crucial for understanding the balancing of forces in the system. This setup is useful for studying principles of mechanical advantage, equilibrium, and torque in the context of a physics education.
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