30. After a mishap, a 76.0-kg circus performer clings to a trapeze, which is being pulled to the side by another circus artist, as shown here. Calculate the tension in the two ropes if the person is momentarily motionless. Include a free-body diagram in your solution. 15⁰° T₁ CO T₂ 10°

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**Problem 30:**

After a mishap, a 76.0-kg circus performer clings to a trapeze, which is being pulled to the side by another circus artist, as shown here. Calculate the tension in the two ropes if the person is momentarily motionless. Include a free-body diagram in your solution.

**Diagram Explanation:**

The diagram depicts a circus performer hanging from a trapeze. Two ropes support the performer:

- **\[ T_1 \]**: This rope forms a 15-degree angle with the vertical. The arrow indicating \[ T_1 \] points upwards and to the left.

- **\[ T_2 \]**: This rope forms a 10-degree angle with the horizontal. The arrow indicating \[ T_2 \] points horizontally to the right.

The performer is positioned vertically, while the second artist pulls on the rope from the side.
Transcribed Image Text:**Problem 30:** After a mishap, a 76.0-kg circus performer clings to a trapeze, which is being pulled to the side by another circus artist, as shown here. Calculate the tension in the two ropes if the person is momentarily motionless. Include a free-body diagram in your solution. **Diagram Explanation:** The diagram depicts a circus performer hanging from a trapeze. Two ropes support the performer: - **\[ T_1 \]**: This rope forms a 15-degree angle with the vertical. The arrow indicating \[ T_1 \] points upwards and to the left. - **\[ T_2 \]**: This rope forms a 10-degree angle with the horizontal. The arrow indicating \[ T_2 \] points horizontally to the right. The performer is positioned vertically, while the second artist pulls on the rope from the side.
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