A beam of length 11 m is supported as shown below. There is a pin in the bottom end of the beam and a mass hanging from the top end of the beam. If the mass of the beam is mb =264 kg, the hanging block has a mass of m1 =81.8 kg, theta = 50.1 degrees, and phi = 35.1 degrees, what is magnitude of the tension in the wire attaching the beam to the ground?

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A beam of length 11 m is supported as shown below. There is a pin in the bottom end of the beam and a mass hanging from the top end of the beam. If the mass of the beam is mb =264 kg, the hanging block has a mass of m1 =81.8 kg, theta = 50.1 degrees, and phi = 35.1 degrees, what is magnitude of the tension in the wire attaching the beam to the ground?

The diagram depicts a mechanical system involving an inclined plane and a hinged rod. 

Key elements in the diagram:

1. **Inclined Plane**: A sloped surface is shown, making an angle \(\theta\) with the horizontal base.

2. **Rod**: A rod labeled \(m_b\) is positioned along the inclined plane. Its lower end is hinged at the base of the plane, allowing it to pivot. 

3. **Angles**: 
   - \(\theta\): The angle between the inclined plane and the horizontal surface. 
   - \(\phi\): The angle between the rod \(m_b\) and the inclined plane.

4. **Hanging Mass**: A mass labeled \(m_1\) is attached at the upper end of the rod, hanging vertically.

This setup is often used to analyze forces in mechanics, considering tensions, gravitational forces, and moments about the pivot point.
Transcribed Image Text:The diagram depicts a mechanical system involving an inclined plane and a hinged rod. Key elements in the diagram: 1. **Inclined Plane**: A sloped surface is shown, making an angle \(\theta\) with the horizontal base. 2. **Rod**: A rod labeled \(m_b\) is positioned along the inclined plane. Its lower end is hinged at the base of the plane, allowing it to pivot. 3. **Angles**: - \(\theta\): The angle between the inclined plane and the horizontal surface. - \(\phi\): The angle between the rod \(m_b\) and the inclined plane. 4. **Hanging Mass**: A mass labeled \(m_1\) is attached at the upper end of the rod, hanging vertically. This setup is often used to analyze forces in mechanics, considering tensions, gravitational forces, and moments about the pivot point.
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