Three forces are applied to a tree sapling, as shown in (Figure 1), to stabilize it. Suppose that FA = 345 N and FB = 535 N. ▼ Part A Determine the magnitude of Fc. Express your answer to three significant figures and include the appropriate units. OM Ti μA ? Boo Fc= Value Units Submit Request Answer
Three forces are applied to a tree sapling, as shown in (Figure 1), to stabilize it. Suppose that FA = 345 N and FB = 535 N. ▼ Part A Determine the magnitude of Fc. Express your answer to three significant figures and include the appropriate units. OM Ti μA ? Boo Fc= Value Units Submit Request Answer
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Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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![### Understanding Force Equilibrium in a Tree Sapling Stabilization Exercise
**Problem Statement:**
Three forces are applied to a tree sapling to stabilize it as shown in Figure 1. Suppose that:
- \(\vec{F}_A = 345 \, \text{N}\)
- \(\vec{F}_B = 535 \, \text{N}\)
**Objective:**
1. **Determine the magnitude of \(\vec{F}_C\):**
Express your answer to three significant figures and include the appropriate units.
- Input Field: \[ \vec{F}_C = \ \text{Value} \ \text{Units} \]
- Action Button: Submit / Request Answer
2. **Determine the angle \(\theta\) between \(\vec{F}_A\) and \(\vec{F}_C\), measured clockwise:**
Express your answer using three significant figures.
- Input Field: \[ \theta = \ \]
- Action Button: Submit / Request Answer
**Figure Explanation:**
The diagram shows a tree sapling with three forces applied at different angles to achieve stabilization. The angles and directions of the forces \(\vec{F}_A\), \(\vec{F}_B\), and \(\vec{F}_C\) are depicted as follows:
- \(\vec{F}_A\) is shown pointing to the right.
- \(\vec{F}_B\) is applied at an angle of 105° counterclockwise from \(\vec{F}_A\).
- \(\vec{F}_C\) is applied such that it closes the vector triangle to ensure equilibrium.
**Details:**
- Forces \(\vec{F}_A\) and \(\vec{F}_B\) are known vectors with given magnitudes.
- Angle between \(\vec{F}_A\) and \(\vec{F}_B\) is \(105^\circ\).
- Force \(\vec{F}_C\) and angle \(\theta\) need to be determined for equilibrium conditions.
This exercise aims to apply principles of vector addition and equilibrium to determine the necessary force vectors for stabilization tasks.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F658f5f0c-3143-47f8-9a3f-a2c28256f853%2F0bb78ed3-ca9b-4d54-a62c-b18cc66337d9%2Fgj0zqp4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Understanding Force Equilibrium in a Tree Sapling Stabilization Exercise
**Problem Statement:**
Three forces are applied to a tree sapling to stabilize it as shown in Figure 1. Suppose that:
- \(\vec{F}_A = 345 \, \text{N}\)
- \(\vec{F}_B = 535 \, \text{N}\)
**Objective:**
1. **Determine the magnitude of \(\vec{F}_C\):**
Express your answer to three significant figures and include the appropriate units.
- Input Field: \[ \vec{F}_C = \ \text{Value} \ \text{Units} \]
- Action Button: Submit / Request Answer
2. **Determine the angle \(\theta\) between \(\vec{F}_A\) and \(\vec{F}_C\), measured clockwise:**
Express your answer using three significant figures.
- Input Field: \[ \theta = \ \]
- Action Button: Submit / Request Answer
**Figure Explanation:**
The diagram shows a tree sapling with three forces applied at different angles to achieve stabilization. The angles and directions of the forces \(\vec{F}_A\), \(\vec{F}_B\), and \(\vec{F}_C\) are depicted as follows:
- \(\vec{F}_A\) is shown pointing to the right.
- \(\vec{F}_B\) is applied at an angle of 105° counterclockwise from \(\vec{F}_A\).
- \(\vec{F}_C\) is applied such that it closes the vector triangle to ensure equilibrium.
**Details:**
- Forces \(\vec{F}_A\) and \(\vec{F}_B\) are known vectors with given magnitudes.
- Angle between \(\vec{F}_A\) and \(\vec{F}_B\) is \(105^\circ\).
- Force \(\vec{F}_C\) and angle \(\theta\) need to be determined for equilibrium conditions.
This exercise aims to apply principles of vector addition and equilibrium to determine the necessary force vectors for stabilization tasks.
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