A tugboat tows a ship at a constant velocity. The tow harness consists of a single tow cable attached to the tugboat at point A that splits at point B and attaches to the ship at points C and D. The two rope segments BC and BD angle away from the center of the ship at angles of ø = 27.0 ° and 0 = 23.0 ° , respectively. The tugboat pulls with a force of B 4800 lb . What are the tensions TBC and TBp in the rope segments BC and BD? Express your answers numerically in pounds to three significant figures separated by a comma. • View Available Hint(s) vec TBC,TBD = lb

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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### Part B

#### Problem Statement:

A tugboat tows a ship at a constant velocity. The tow harness consists of a single tow cable attached to the tugboat at point \( A \) that splits at point \( B \) and attaches to the ship at points \( C \) and \( D \). The two rope segments \( BC \) and \( BD \) angle away from the center of the ship at angles of \( \phi = 27.0^\circ \) and \( \theta = 23.0^\circ \), respectively. The tugboat pulls with a force of 4800 lb. 

**Question:** What are the tensions \( T_{BC} \) and \( T_{BD} \) in the rope segments \( BC \) and \( BD \)?

Express your answers numerically in pounds to three significant figures separated by a comma.

#### Diagram:

There is a diagram showing the ship being towed. The important points marked in the diagram are:

- Point \(A\) on the tugboat from where the single tow cable starts.
- Point \(B\) where the cable splits into two segments, \(BC\) and \(BD\).
- Point \(C\) on the ship where rope segment \(BC\) is attached.
- Point \(D\) on the ship where rope segment \(BD\) is attached.

The angle \( \phi = 27.0^\circ \) is between the rope segments \( BC \) and the vertical line.
The angle \( \theta = 23.0^\circ \) is between the rope segments \( BD \) and the vertical line.

A force \( F = 4800 \) lb is exerted by the tugboat.

#### Required Answer Format:

\( T_{BC}, T_{BD} = \) [Tensions Values in pounds]

(Three significant figures are required.)

#### Available Hints:

You can view the available hints by clicking the "View Available Hint(s)" button provided.

### Solution Input Box:
\[ T_{BC}, T_{BD} = \]

(Note: The reader should calculate the exact numeric values and enter them in the text box corresponding to this prompt.)

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Transcribed Image Text:### Part B #### Problem Statement: A tugboat tows a ship at a constant velocity. The tow harness consists of a single tow cable attached to the tugboat at point \( A \) that splits at point \( B \) and attaches to the ship at points \( C \) and \( D \). The two rope segments \( BC \) and \( BD \) angle away from the center of the ship at angles of \( \phi = 27.0^\circ \) and \( \theta = 23.0^\circ \), respectively. The tugboat pulls with a force of 4800 lb. **Question:** What are the tensions \( T_{BC} \) and \( T_{BD} \) in the rope segments \( BC \) and \( BD \)? Express your answers numerically in pounds to three significant figures separated by a comma. #### Diagram: There is a diagram showing the ship being towed. The important points marked in the diagram are: - Point \(A\) on the tugboat from where the single tow cable starts. - Point \(B\) where the cable splits into two segments, \(BC\) and \(BD\). - Point \(C\) on the ship where rope segment \(BC\) is attached. - Point \(D\) on the ship where rope segment \(BD\) is attached. The angle \( \phi = 27.0^\circ \) is between the rope segments \( BC \) and the vertical line. The angle \( \theta = 23.0^\circ \) is between the rope segments \( BD \) and the vertical line. A force \( F = 4800 \) lb is exerted by the tugboat. #### Required Answer Format: \( T_{BC}, T_{BD} = \) [Tensions Values in pounds] (Three significant figures are required.) #### Available Hints: You can view the available hints by clicking the "View Available Hint(s)" button provided. ### Solution Input Box: \[ T_{BC}, T_{BD} = \] (Note: The reader should calculate the exact numeric values and enter them in the text box corresponding to this prompt.) ---
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