A 300-N weight hangs from two cables that are attached to the ceiling, and it is in static equilibrium, meaning that the sum of the force vectors is zero. [Figure is not drawn to scale.] 02 Cable 1 Cable 2 Weight Cable 1 makes a 55° angle with the ceiling, and cable 2 makes a 35° angle with the ceiling. Find the magnitude of the force in each cable, The magnitude of the force in Cable 1 is: The magnitude of the force in Cable 2 is: N.

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Chapter1: Units, Trigonometry. And Vectors
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### Static Equilibrium Problem

A 300-N weight hangs from two cables that are attached to the ceiling. The system is in static equilibrium, which means that the sum of the force vectors is zero. **Note:** The figure is not drawn to scale.

#### Diagram Description

- **Weight:** A vertical arrow labeled "Weight" points downward, representing the gravitational force of 300 N.
  
- **Cable 1:** A line extends from the weight to the ceiling, forming an angle \( \theta_1 \) with the ceiling. This cable is labeled "Cable 1."

- **Cable 2:** Another line extends from the weight to the ceiling, forming an angle \( \theta_2 \) with the ceiling. This cable is labeled "Cable 2."

- **Angles:** 
  - \( \theta_1 \) is the angle between Cable 1 and the ceiling.
  - \( \theta_2 \) is the angle between Cable 2 and the ceiling.

#### Problem Statement

Cable 1 makes a 55° angle with the ceiling, and cable 2 makes a 35° angle with the ceiling. Determine the magnitude of the force in each cable.

1. **The magnitude of the force in Cable 1 is:** _____ N
2. **The magnitude of the force in Cable 2 is:** _____ N
Transcribed Image Text:### Static Equilibrium Problem A 300-N weight hangs from two cables that are attached to the ceiling. The system is in static equilibrium, which means that the sum of the force vectors is zero. **Note:** The figure is not drawn to scale. #### Diagram Description - **Weight:** A vertical arrow labeled "Weight" points downward, representing the gravitational force of 300 N. - **Cable 1:** A line extends from the weight to the ceiling, forming an angle \( \theta_1 \) with the ceiling. This cable is labeled "Cable 1." - **Cable 2:** Another line extends from the weight to the ceiling, forming an angle \( \theta_2 \) with the ceiling. This cable is labeled "Cable 2." - **Angles:** - \( \theta_1 \) is the angle between Cable 1 and the ceiling. - \( \theta_2 \) is the angle between Cable 2 and the ceiling. #### Problem Statement Cable 1 makes a 55° angle with the ceiling, and cable 2 makes a 35° angle with the ceiling. Determine the magnitude of the force in each cable. 1. **The magnitude of the force in Cable 1 is:** _____ N 2. **The magnitude of the force in Cable 2 is:** _____ N
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