Given: A barge may be assumed as a rectangular prism (or cuboid) with a length between perpendiculars of 70 ft., a beam of 30 ft., and a depth of ship of 6 ft. The ship weighs 150 tons (US “short ton”) and this weight may be assumed uniformly distributed in the volume of the ship. The following Cargo was loaded along the center line of the ship relative to the deck (top) of the ship. Required: Considering ONLY transverse stability, a) Find the buoyant force and draft of the vessel.
Given: A barge may be assumed as a rectangular prism (or cuboid) with a length between perpendiculars of 70 ft., a beam of 30 ft., and a depth of ship of 6 ft. The ship weighs 150 tons (US “short ton”) and this weight may be assumed uniformly distributed in the volume of the ship. The following Cargo was loaded along the center line of the ship relative to the deck (top) of the ship. Required: Considering ONLY transverse stability, a) Find the buoyant force and draft of the vessel.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Problem 4.1
Given: A barge may be assumed as a rectangular prism (or cuboid) with a length between perpendiculars of 70 ft., a beam of 30 ft., and a depth of ship of 6 ft. The ship weighs 150 tons (US “short ton”) and this weight may be assumed uniformly distributed in the volume of the ship. The following Cargo was loaded along the center line of the ship relative to the deck (top) of the ship.
Required: Considering ONLY transverse stability,
a) Find the buoyant force and draft of the vessel.
![### Cargo Data Table
This table presents information about different cargo items, specifically their weight and the center of gravity (CG) from the top of the deck. Understanding these parameters is essential for efficiently loading and balancing cargo on a vehicle or vessel.
#### Table Columns:
1. **Cargo Item (lbs):**
- This column lists the weight of each cargo item in pounds.
2. **CG of Cargo from Top of Deck (ft.):**
- This column measures the center of gravity of each cargo item in feet from the top of the deck. A negative value indicates that the CG is below the deck level.
#### Cargo Data:
- **470 lbs:** CG is -1 ft.
- **500 lbs:** CG is -0.75 ft.
- **525 lbs:** CG is -1.2 ft.
- **600 lbs:** CG is -1.5 ft.
- **800 lbs:** CG is -6 ft.
Understanding the center of gravity is crucial for maintaining stability, especially in maritime and aerospace applications. Proper distribution of weight affects performance, safety, and fuel efficiency.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8c8c30dd-8618-4d51-9f32-993bb170f9da%2F60742ea1-362b-43de-93ae-1aa52031d94a%2F8h25mt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Cargo Data Table
This table presents information about different cargo items, specifically their weight and the center of gravity (CG) from the top of the deck. Understanding these parameters is essential for efficiently loading and balancing cargo on a vehicle or vessel.
#### Table Columns:
1. **Cargo Item (lbs):**
- This column lists the weight of each cargo item in pounds.
2. **CG of Cargo from Top of Deck (ft.):**
- This column measures the center of gravity of each cargo item in feet from the top of the deck. A negative value indicates that the CG is below the deck level.
#### Cargo Data:
- **470 lbs:** CG is -1 ft.
- **500 lbs:** CG is -0.75 ft.
- **525 lbs:** CG is -1.2 ft.
- **600 lbs:** CG is -1.5 ft.
- **800 lbs:** CG is -6 ft.
Understanding the center of gravity is crucial for maintaining stability, especially in maritime and aerospace applications. Proper distribution of weight affects performance, safety, and fuel efficiency.
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