If F = 450 lb in (Figure 1), determine the tension developed in cables AB, AC, and AD. Figure DR 60° 120° 45° A 60° 30° 1 of 1 ▼ Part A Determine the tension developed in cable AB. Express your answer to three significant figures and include the appropriate units. FAB = Submit Part B μA Value Request Answer μA Determine the tension developed in cable AC. Express your answer to three significant figures and include the appropriate units. FAC = Value Units Submit Request Answer ? Units ?

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Parts A, B, and C
**Problem Statement:**

If \( F = 450 \, \text{lb} \) in (Figure 1), determine the tension developed in cables \( AB \), \( AC \), and \( AD \).

**Part A:**

Determine the tension developed in cable \( AB \).

- Express your answer to three significant figures and include the appropriate units.

\[ F_{AB} = \text{Value} \, \text{Units} \]

- [Submit] [Request Answer]

**Part B:**

Determine the tension developed in cable \( AC \).

- Express your answer to three significant figures and include the appropriate units.

\[ F_{AC} = \text{Value} \, \text{Units} \]

- [Submit] [Request Answer]

**Diagram Explanation:**

The figure shows a three-dimensional setup with cables labeled \( AB \), \( AC \), and \( AD \) connected at point \( A \):

- The axis system is shown with \( x \), \( y \), and \( z \) axes.
- Cable \( AC \) is directed in the \( z \)-direction at \( 60^\circ \) to the \( x \)-axis.
- Cable \( AD \) is directed at \( 45^\circ \) from the vertical \( z \)-axis and \( 60^\circ \) from the \( x \)-axis.
- Cable \( AB \) makes a \( 30^\circ \) angle with the \( y \)-axis and intersects with the negative \( x \)-axis at \( 120^\circ \).

The diagram illustrates the spatial orientation necessary for calculations related to tensions in the cables.
Transcribed Image Text:**Problem Statement:** If \( F = 450 \, \text{lb} \) in (Figure 1), determine the tension developed in cables \( AB \), \( AC \), and \( AD \). **Part A:** Determine the tension developed in cable \( AB \). - Express your answer to three significant figures and include the appropriate units. \[ F_{AB} = \text{Value} \, \text{Units} \] - [Submit] [Request Answer] **Part B:** Determine the tension developed in cable \( AC \). - Express your answer to three significant figures and include the appropriate units. \[ F_{AC} = \text{Value} \, \text{Units} \] - [Submit] [Request Answer] **Diagram Explanation:** The figure shows a three-dimensional setup with cables labeled \( AB \), \( AC \), and \( AD \) connected at point \( A \): - The axis system is shown with \( x \), \( y \), and \( z \) axes. - Cable \( AC \) is directed in the \( z \)-direction at \( 60^\circ \) to the \( x \)-axis. - Cable \( AD \) is directed at \( 45^\circ \) from the vertical \( z \)-axis and \( 60^\circ \) from the \( x \)-axis. - Cable \( AB \) makes a \( 30^\circ \) angle with the \( y \)-axis and intersects with the negative \( x \)-axis at \( 120^\circ \). The diagram illustrates the spatial orientation necessary for calculations related to tensions in the cables.
**Educational Content: Determining Cable Tension**

**Diagram Explanation:**

The figure illustrates a three-dimensional system with cables and forces. There are four points labeled A, B, C, and D. The z-axis is vertical, while the x and y axes are horizontal. The force F is directed downward from point A. Angles between the cables and axes are marked as follows:
- The angle between cable \(AD\) and the z-axis is \(45^\circ\).
- The angle between cable \(AD\) and the x-axis is \(60^\circ\).
- The angle between cable \(AB\) and the x-axis is \(120^\circ\).
- The angle between cable \(AC\) and the z-axis is \(60^\circ\), and with the y-axis is \(30^\circ\).

**Task:**

- **Part B:**
  Determine the tension developed in cable \(AC\).
  - Express your answer to three significant figures and include the appropriate units.
  - Formula: \( F_{AC} = \text{Value} \, \text{Units} \)
  - [Submit] [Request Answer]

- **Part C:**
  Determine the tension developed in cable \(AD\).
  - Express your answer to three significant figures and include the appropriate units.
  - Formula: \( F_{AD} = \text{Value} \, \text{Units} \)
  - [Submit] [Request Answer]

Use the diagram to identify the coordinates, forces, and angles necessary to calculate the tension in each cable using vector resolution and equilibrium equations. Ensure all calculations maintain precision with three significant figures for accuracy in professional engineering contexts.
Transcribed Image Text:**Educational Content: Determining Cable Tension** **Diagram Explanation:** The figure illustrates a three-dimensional system with cables and forces. There are four points labeled A, B, C, and D. The z-axis is vertical, while the x and y axes are horizontal. The force F is directed downward from point A. Angles between the cables and axes are marked as follows: - The angle between cable \(AD\) and the z-axis is \(45^\circ\). - The angle between cable \(AD\) and the x-axis is \(60^\circ\). - The angle between cable \(AB\) and the x-axis is \(120^\circ\). - The angle between cable \(AC\) and the z-axis is \(60^\circ\), and with the y-axis is \(30^\circ\). **Task:** - **Part B:** Determine the tension developed in cable \(AC\). - Express your answer to three significant figures and include the appropriate units. - Formula: \( F_{AC} = \text{Value} \, \text{Units} \) - [Submit] [Request Answer] - **Part C:** Determine the tension developed in cable \(AD\). - Express your answer to three significant figures and include the appropriate units. - Formula: \( F_{AD} = \text{Value} \, \text{Units} \) - [Submit] [Request Answer] Use the diagram to identify the coordinates, forces, and angles necessary to calculate the tension in each cable using vector resolution and equilibrium equations. Ensure all calculations maintain precision with three significant figures for accuracy in professional engineering contexts.
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