4. A uniform beam of mass m; and length L is supported as shown below. There is a pin in the b bottom end of the beam and a mass of mass m¡ hanging from the top end of the beam. Find the magnitude of the tension in the wire attaching the beam to the ground and force from the pin on the beam.

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a. Draw an extended FBD for the beam.
b. Choose a point of rotation and write Newton’s 2nd Law for rotation about that point of rotation.
c. Solve for the magnitude of the tension in the wire attaching the beam to the ground.
d. Solve for the force from the pin on the beam.

No graphs or diagrams are present in the image.
Transcribed Image Text:a. Draw an extended FBD for the beam. b. Choose a point of rotation and write Newton’s 2nd Law for rotation about that point of rotation. c. Solve for the magnitude of the tension in the wire attaching the beam to the ground. d. Solve for the force from the pin on the beam. No graphs or diagrams are present in the image.
**Problem 4**

A uniform beam of mass \(m_b\) and length \(L\) is supported as shown below. There is a pin in the bottom end of the beam and a mass of \(m_1\) hanging from the top end of the beam. Find the magnitude of the tension in the wire attaching the beam to the ground and the force from the pin on the beam.

**Diagram Explanation**

- The diagram shows a beam inclined at an angle \(\theta\) with respect to the ground. 
- There is a mass \(m_1\) hanging from the top end of the beam.
- The beam itself has mass \(m_b\) and is supported at the bottom by a pin. 
- A wire attaches from the top end of the beam to the ground, forming an angle \(\phi\) with the beam. 

The task is to calculate the tension in the wire and the resultant force exerted by the pin.
Transcribed Image Text:**Problem 4** A uniform beam of mass \(m_b\) and length \(L\) is supported as shown below. There is a pin in the bottom end of the beam and a mass of \(m_1\) hanging from the top end of the beam. Find the magnitude of the tension in the wire attaching the beam to the ground and the force from the pin on the beam. **Diagram Explanation** - The diagram shows a beam inclined at an angle \(\theta\) with respect to the ground. - There is a mass \(m_1\) hanging from the top end of the beam. - The beam itself has mass \(m_b\) and is supported at the bottom by a pin. - A wire attaches from the top end of the beam to the ground, forming an angle \(\phi\) with the beam. The task is to calculate the tension in the wire and the resultant force exerted by the pin.
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