A barge is pulled by two tugboats. If the resultant of the forces exerted by the tugboats is 3500 lb directed along the axis of the barge, determine the tension in each of the ropes for a= 35° 30° a

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Chapter1: Units, Trigonometry. And Vectors
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A barge is pulled by two tugboats. If the resultant of the forces exerted by the tugboats is 3500 lb directed along the axis of the barge, determine the tension in each of the ropes for α = 35o

**Problem Statement:**

A barge is pulled by two tugboats. If the resultant of the forces exerted by the tugboats is 3500 lb directed along the axis of the barge, determine the tension in each of the ropes for α = 35°.

**Diagram Explanation:**

The diagram illustrates a top-down view of a barge being pulled by two tugboats labeled A and C. The ropes from the tugboats converge at point B on the barge.

- Tugboat A's rope makes an angle of 30° with the axis of the barge.
- Tugboat C's rope makes an angle labeled as α with the barge, which is given as 35°.
- The diagram shows two vectors labeled as 1 and 2, representing the tensions in the ropes from the tugboats.

The objective is to calculate the tension in each rope based on the given angles and the resultant force on the barge.
Transcribed Image Text:**Problem Statement:** A barge is pulled by two tugboats. If the resultant of the forces exerted by the tugboats is 3500 lb directed along the axis of the barge, determine the tension in each of the ropes for α = 35°. **Diagram Explanation:** The diagram illustrates a top-down view of a barge being pulled by two tugboats labeled A and C. The ropes from the tugboats converge at point B on the barge. - Tugboat A's rope makes an angle of 30° with the axis of the barge. - Tugboat C's rope makes an angle labeled as α with the barge, which is given as 35°. - The diagram shows two vectors labeled as 1 and 2, representing the tensions in the ropes from the tugboats. The objective is to calculate the tension in each rope based on the given angles and the resultant force on the barge.
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