5. A barge is pulled by two tugboats. If the resultant of the forces exerted by the tugboats is 5000 lb directed along the axis of the barge, determine the tension in each of the ropes for a 65° 30
5. A barge is pulled by two tugboats. If the resultant of the forces exerted by the tugboats is 5000 lb directed along the axis of the barge, determine the tension in each of the ropes for a 65° 30
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Transcribed Image Text:**Problem 5:**
A barge is pulled by two tugboats. If the resultant of the forces exerted by the tugboats is 5000 lb directed along the axis of the barge, determine the tension in each of the ropes for \( \alpha = 65^\circ \).
**Diagram Explanation:**
The image shows a top view of a barge labeled 'B' in water with two tugboats 'A' and 'C' pulling on it with ropes. The force from tugboat A makes an angle of \(30^\circ\) with the axis of the barge, while the angle between the forces from the two tugboats is labeled as \( \alpha \), given as \(65^\circ\).
- **Tugboat A** is on the upper side, attached to the barge with **Rope 1**.
- **Tugboat C** is on the lower side, attached to the barge with **Rope 2**.
- The forces exerted are depicted as vectors pointing towards the tugboats. The goal is to find the tension in each rope while maintaining a resultant force of 5000 lb directed along the barge’s axis.
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