Show your work on a separate document. Block or highlight your answers. 1. Refer to figure 1. A mass is hung by two cables. Calculate the tension in each cable, the vertical and horizontal components of each cable, and describe what type of equilibrium is illustrated. 27.5° 18.7° 300.0 kg Figure 1

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**Physics Problem Set: Tension in Cables**

### Problem 1

Refer to **Figure 1**. A mass is hung by two cables. Calculate the tension in each cable, the vertical and horizontal components of each cable, and describe what type of equilibrium is illustrated.

- **Figure 1:**
  - A mass of 300.0 kg is suspended by two cables.
  - The angles formed by the cables with the horizontal are θ₁ = 27.5° and θ₂ = 18.7°.

***

### Problem 2

Refer to **Figure 2**. A mass is hung by two cables. Calculate the tension in each cable, the vertical and horizontal components of each cable, and describe what type of equilibrium is illustrated.

- **Figure 2:**
  - A mass of 300.0 kg is suspended by two cables.
  - The angles formed by the cables with the horizontal are θ₁ = 25.0° and θ₂ is not specified but inferred as less than θ₁ (by the depiction).

**Explanation of Diagrams:**

- **Figure 1** features a black circle representing a 300.0 kg mass. Two cables support this mass, each forming an angle with the horizontal (θ₁ = 27.5° and θ₂ = 18.7°). The angles are shown where the cables meet the mass and the horizontal axis.

- **Figure 2** also features a black circle representing a 300.0 kg mass. Again, two cables support this mass, with one cable forming an angle of 25.0° (θ₁) with the horizontal. The other angle (θ₂) is not specified in the diagram but is necessary for solving the problem.

***
Transcribed Image Text:**Physics Problem Set: Tension in Cables** ### Problem 1 Refer to **Figure 1**. A mass is hung by two cables. Calculate the tension in each cable, the vertical and horizontal components of each cable, and describe what type of equilibrium is illustrated. - **Figure 1:** - A mass of 300.0 kg is suspended by two cables. - The angles formed by the cables with the horizontal are θ₁ = 27.5° and θ₂ = 18.7°. *** ### Problem 2 Refer to **Figure 2**. A mass is hung by two cables. Calculate the tension in each cable, the vertical and horizontal components of each cable, and describe what type of equilibrium is illustrated. - **Figure 2:** - A mass of 300.0 kg is suspended by two cables. - The angles formed by the cables with the horizontal are θ₁ = 25.0° and θ₂ is not specified but inferred as less than θ₁ (by the depiction). **Explanation of Diagrams:** - **Figure 1** features a black circle representing a 300.0 kg mass. Two cables support this mass, each forming an angle with the horizontal (θ₁ = 27.5° and θ₂ = 18.7°). The angles are shown where the cables meet the mass and the horizontal axis. - **Figure 2** also features a black circle representing a 300.0 kg mass. Again, two cables support this mass, with one cable forming an angle of 25.0° (θ₁) with the horizontal. The other angle (θ₂) is not specified in the diagram but is necessary for solving the problem. ***
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