A 400-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 30° 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:
A 400-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 30° 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:
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![### Understanding Equilibrium in Physics
#### Problem Description
A 400-N weight hangs from two cables attached to the ceiling, and the system is in static equilibrium. This means the sum of the force vectors acting on the weight is zero. [Note: The figure is not drawn to scale.]
#### Diagram Analysis
- **Cable 1**: Forms an angle \( \theta_1 \) with the ceiling.
- **Cable 2**: Forms an angle \( \theta_2 \) with the ceiling.
- The forces from both cables counteract the weight's downward force, maintaining equilibrium.
#### Angles:
- Cable 1 makes a \( 55^\circ \) angle with the ceiling.
- Cable 2 makes a \( 30^\circ \) angle with the ceiling.
#### Task:
Calculate the magnitude of the force in each cable.
#### Calculation:
- **Variables:**
- Weight (downward force) = 400 N
- Angle \( \theta_1 \) = 55°
- Angle \( \theta_2 \) = 30°
The magnitudes of the forces are calculated based on the equilibrium condition:
- The vertical components of the tension in both cables together balance the weight.
- The horizontal components of the tension must be equal in magnitude but opposite in direction.
#### Solution:
1. **Force in Cable 1**:
\[
\text{Insert formula or solution steps here.}
\]
The magnitude of the force in Cable 1 is: \(\_\_\_\) N
2. **Force in Cable 2**:
\[
\text{Insert formula or solution steps here.}
\]
The magnitude of the force in Cable 2 is: \(\_\_\_\) N
This analysis demonstrates the application of vector components to solve equilibrium problems in physics.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F18608e9e-bffe-4b38-84b4-3b337a037743%2F2c260791-5198-4701-b518-869abab22965%2F3cn4ygd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Understanding Equilibrium in Physics
#### Problem Description
A 400-N weight hangs from two cables attached to the ceiling, and the system is in static equilibrium. This means the sum of the force vectors acting on the weight is zero. [Note: The figure is not drawn to scale.]
#### Diagram Analysis
- **Cable 1**: Forms an angle \( \theta_1 \) with the ceiling.
- **Cable 2**: Forms an angle \( \theta_2 \) with the ceiling.
- The forces from both cables counteract the weight's downward force, maintaining equilibrium.
#### Angles:
- Cable 1 makes a \( 55^\circ \) angle with the ceiling.
- Cable 2 makes a \( 30^\circ \) angle with the ceiling.
#### Task:
Calculate the magnitude of the force in each cable.
#### Calculation:
- **Variables:**
- Weight (downward force) = 400 N
- Angle \( \theta_1 \) = 55°
- Angle \( \theta_2 \) = 30°
The magnitudes of the forces are calculated based on the equilibrium condition:
- The vertical components of the tension in both cables together balance the weight.
- The horizontal components of the tension must be equal in magnitude but opposite in direction.
#### Solution:
1. **Force in Cable 1**:
\[
\text{Insert formula or solution steps here.}
\]
The magnitude of the force in Cable 1 is: \(\_\_\_\) N
2. **Force in Cable 2**:
\[
\text{Insert formula or solution steps here.}
\]
The magnitude of the force in Cable 2 is: \(\_\_\_\) N
This analysis demonstrates the application of vector components to solve equilibrium problems in physics.
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