rea. One piece is shown in the figure. The 140-N uniform beam is pinned to the ground by a pivot. The beam is supported by a cable (attached to the center of the beam) to allow for each of the shoes to hang freely. Each individual shoe has a weight of 9.5-N. 1.If one shoe is attached two-fifths of the way up the beam and another shoe is attached and three-fifths of the way up the beam, with θc = 19.5° and θb = 33.5° as shown in the figure, what is the tension in the cable, in newtons?

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A new art exhibit featuring mobile works is going up in the Holland, MI, area. One piece is shown in the figure. The 140-N uniform beam is pinned to the ground by a pivot. The beam is supported by a cable (attached to the center of the beam) to allow for each of the shoes to hang freely. Each individual shoe has a weight of 9.5-N.

1.If one shoe is attached two-fifths of the way up the beam and another shoe is attached and three-fifths of the way up the beam, with θc = 19.5° and θb = 33.5° as shown in the figure, what is the tension in the cable, in newtons? 

The image depicts a mechanical system involving pendulums and a sloped surface. Here is a detailed description suitable for an educational setting:

**Diagram Explanation:**

1. **Coordinate System:**
   - An X-Y coordinate system is shown in the top left corner, where the x-axis extends horizontally to the right, and the y-axis extends vertically upward. 

2. **Inclined Plane:**
   - A slope is depicted with a solid bold line, which represents an inclined plane. The angle of inclination with respect to the horizontal is labeled as θ.

3. **Pendulums:**
   - Two pendulums are illustrated hanging downwards from points along the inclined plane.
   - The pendulums consist of rods with circular masses at their ends.

4. **Angles:**
   - Each pendulum has an angle associated with it, denoted by θ_b and θ_c. These angles likely represent the angles between the pendulum rods and a vertical line perpendicular to the inclined surface.

5. **Base Surface:**
   - The bottom part of the image shows a horizontal surface, which could represent the ground or base upon which the inclined plane is resting.

This diagram may be used to study mechanical systems with pendulums on inclined planes, focusing on concepts like gravitational force resolution, pendulum motion, and angular dynamics.
Transcribed Image Text:The image depicts a mechanical system involving pendulums and a sloped surface. Here is a detailed description suitable for an educational setting: **Diagram Explanation:** 1. **Coordinate System:** - An X-Y coordinate system is shown in the top left corner, where the x-axis extends horizontally to the right, and the y-axis extends vertically upward. 2. **Inclined Plane:** - A slope is depicted with a solid bold line, which represents an inclined plane. The angle of inclination with respect to the horizontal is labeled as θ. 3. **Pendulums:** - Two pendulums are illustrated hanging downwards from points along the inclined plane. - The pendulums consist of rods with circular masses at their ends. 4. **Angles:** - Each pendulum has an angle associated with it, denoted by θ_b and θ_c. These angles likely represent the angles between the pendulum rods and a vertical line perpendicular to the inclined surface. 5. **Base Surface:** - The bottom part of the image shows a horizontal surface, which could represent the ground or base upon which the inclined plane is resting. This diagram may be used to study mechanical systems with pendulums on inclined planes, focusing on concepts like gravitational force resolution, pendulum motion, and angular dynamics.
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