Consider the figure above, where a rigid beam of negligible mass and 10 m long is supported by a cable attached to a spring.  When NO block is hung from the beam, the length L (cable-spring) is equal to 5 m.  Assume that immediately after block (weight of 250 N) is hung at the end of the beam the spring  does not stretch, calculate the tension under this assumption.  Using this tension find how much the spring stretches.  Express the amount the spring is stretched in cm.  k =8275 N/m.

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Consider the figure above, where a rigid beam of negligible mass and 10 m long is supported by a cable attached to a spring.  When NO block is hung from the beam, the length L (cable-spring) is equal to 5 m.  Assume that immediately after block (weight of 250 N) is hung at the end of the beam the spring  does not stretch, calculate the tension under this assumption.  Using this tension find how much the spring stretches.  Express the amount the spring is stretched in cm.  k =8275 N/m.

The image depicts a mechanical system involving a horizontal beam supported by a wall and a spring. The dimensions and components are detailed as follows:

1. **Beam and Wall**:
   - The beam is horizontally oriented and attached to a vertical wall on the left side.
   - It spans a total length of 10.00 meters, divided into two sections: 3.00 meters from the wall to the spring's attachment point, and 7.00 meters from the spring to the point where the force \( F_g \) is applied at the beam’s right end.

2. **Spring System**:
   - A spring is connected between the wall and the beam.
   - The spring is depicted with a coil, suggesting it can be compressed or expanded.
   - It is labeled with \( L \), indicating the spring’s length, and positioned such that it forms an angle \( \theta \) with the beam.

3. **Force (\( F_g \))**:
   - At the end of the beam, 7.00 meters from the spring attachment, there is a downward force labeled \( F_g \).
   - This is represented as acting perpendicular to the beam.

4. **Dimensions**:
   - The vertical distance from the spring connection on the wall to the ground or reference point is noted as 4.00 meters.

This setup could be used to study concepts such as torque, equilibrium, and mechanical advantage, depending on the properties of the spring and the magnitude of the force \( F_g \).
Transcribed Image Text:The image depicts a mechanical system involving a horizontal beam supported by a wall and a spring. The dimensions and components are detailed as follows: 1. **Beam and Wall**: - The beam is horizontally oriented and attached to a vertical wall on the left side. - It spans a total length of 10.00 meters, divided into two sections: 3.00 meters from the wall to the spring's attachment point, and 7.00 meters from the spring to the point where the force \( F_g \) is applied at the beam’s right end. 2. **Spring System**: - A spring is connected between the wall and the beam. - The spring is depicted with a coil, suggesting it can be compressed or expanded. - It is labeled with \( L \), indicating the spring’s length, and positioned such that it forms an angle \( \theta \) with the beam. 3. **Force (\( F_g \))**: - At the end of the beam, 7.00 meters from the spring attachment, there is a downward force labeled \( F_g \). - This is represented as acting perpendicular to the beam. 4. **Dimensions**: - The vertical distance from the spring connection on the wall to the ground or reference point is noted as 4.00 meters. This setup could be used to study concepts such as torque, equilibrium, and mechanical advantage, depending on the properties of the spring and the magnitude of the force \( F_g \).
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