The figure shows a horizontal steel beam with mass M = 500 kg and length L = 2.0 m held against a vertical wall by a taut cable with 0= 60°. A ball with mass m = 200 kg is attached via a short cable at a distance x = 1.5 m from the wall. Draw an extended force diagram for the steel beam, drawing the direction of the forces and the location of the forces acting on the beam.

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**Physics Problem: Horizontal Steel Beam with Attached Mass**

**Problem Statement:**

1. The figure shows a horizontal steel beam with mass \(M = 500 \text{ kg}\) and length \(L = 2.0 \text{ m}\) held against a vertical wall by a taut cable with \(\theta = 60^\circ\). A ball with mass \(m = 200 \text{ kg}\) is attached via a short cable at a distance \(x = 1.5 \text{ m}\) from the wall.

    ![Diagram](link-to-image) *(The figure depicts a horizontal beam labeled with \(L\) and \(x\) as described. The vertical wall and the angle \(\theta\) made by the cable are also indicated.)*

    a. **Draw an extended force diagram for the steel beam**, indicating the direction of the forces and the location of the forces acting on the beam.
    
    b. **Using the contact point between the wall and the beam as your pivot point for torque calculations**, balance the torques created by all the forces acting on the beam to determine the magnitude of the tension force that the cable exerts on the beam.

    c. **Balance the forces in the \(x\)- and \(y\)-directions** to determine the \(x\)- and \(y\)-components of the force that the wall exerts on the beam.

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**Explanation of Diagram:**

The accompanying diagram illustrates the forces acting on a horizontal beam fixed to a wall. Key features include:

- The horizontal beam is held to the wall on the left side, with the right side supported by a cable at an angle \(\theta = 60^\circ\).
- The beam’s length \(L = 2.0 \text{ m}\).
- A mass \(m = 200 \text{ kg}\) is attached 1.5 meters from the wall.
- Key distances \(x\) and angles \(\theta\) are labeled clearly.

This setup will be used to analyze the forces and torques exerted on the beam.

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Transcribed Image Text:--- **Physics Problem: Horizontal Steel Beam with Attached Mass** **Problem Statement:** 1. The figure shows a horizontal steel beam with mass \(M = 500 \text{ kg}\) and length \(L = 2.0 \text{ m}\) held against a vertical wall by a taut cable with \(\theta = 60^\circ\). A ball with mass \(m = 200 \text{ kg}\) is attached via a short cable at a distance \(x = 1.5 \text{ m}\) from the wall. ![Diagram](link-to-image) *(The figure depicts a horizontal beam labeled with \(L\) and \(x\) as described. The vertical wall and the angle \(\theta\) made by the cable are also indicated.)* a. **Draw an extended force diagram for the steel beam**, indicating the direction of the forces and the location of the forces acting on the beam. b. **Using the contact point between the wall and the beam as your pivot point for torque calculations**, balance the torques created by all the forces acting on the beam to determine the magnitude of the tension force that the cable exerts on the beam. c. **Balance the forces in the \(x\)- and \(y\)-directions** to determine the \(x\)- and \(y\)-components of the force that the wall exerts on the beam. --- **Explanation of Diagram:** The accompanying diagram illustrates the forces acting on a horizontal beam fixed to a wall. Key features include: - The horizontal beam is held to the wall on the left side, with the right side supported by a cable at an angle \(\theta = 60^\circ\). - The beam’s length \(L = 2.0 \text{ m}\). - A mass \(m = 200 \text{ kg}\) is attached 1.5 meters from the wall. - Key distances \(x\) and angles \(\theta\) are labeled clearly. This setup will be used to analyze the forces and torques exerted on the beam. ---
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