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A large metacentric height in a vessel
- a)improves stability and makes periodic time of oscillations longer
- b)impairs stability and makes periodic time of oscillation shorter
- c)has no effect on stability or periodic time of oscillation
- d)improves stability and makes periodic time of oscillation shorter
Correct answer is option 'D'. Can you explain this answer?
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A large metacentric height in a vessela)improves stability and makes p...
Increase the metacentric height gives stability of floating, but an increase in the metacentric height reduced the time period of rolling of the body
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A large metacentric height in a vessela)improves stability and makes p...
Metacentric Height and its Effects on Stability and Periodic Time of Oscillation
Metacentric height is a critical parameter that determines the stability of a ship. It is the distance between the ship's center of gravity (G) and its metacenter (M). The metacenter is the intersection point of the vertical line passing through the center of buoyancy (B) of the ship when it is in upright position and the vertical line passing through the center of buoyancy when the ship is tilted. A higher metacentric height implies that the ship is more stable and has a longer periodic time of oscillation.
Effects of Large Metacentric Height on Stability and Periodic Time of Oscillation
A large metacentric height has the following effects on the stability and periodic time of oscillation of a vessel:
- Improves stability: A large metacentric height increases the stability of a vessel by providing a greater restoring moment. This means that the ship will be able to resist external forces that can cause it to tilt or capsize. As a result, the ship will be more stable and less susceptible to accidents.
- Shortens periodic time of oscillation: A large metacentric height also shortens the periodic time of oscillation of a vessel. Periodic time of oscillation is the time taken by a ship to complete one cycle of oscillation after being subjected to an external force. A shorter periodic time of oscillation means that the ship will be able to recover quickly from external forces and return to its upright position.
Conclusion
In summary, a large metacentric height improves the stability of a ship and shortens its periodic time of oscillation. However, it is important to note that a very high metacentric height can also impair the stability of a ship by making it too stiff and less responsive to external forces. Therefore, the optimal metacentric height for a ship depends on several factors such as its size, shape, and intended use.
Metacentric height is a critical parameter that determines the stability of a ship. It is the distance between the ship's center of gravity (G) and its metacenter (M). The metacenter is the intersection point of the vertical line passing through the center of buoyancy (B) of the ship when it is in upright position and the vertical line passing through the center of buoyancy when the ship is tilted. A higher metacentric height implies that the ship is more stable and has a longer periodic time of oscillation.
Effects of Large Metacentric Height on Stability and Periodic Time of Oscillation
A large metacentric height has the following effects on the stability and periodic time of oscillation of a vessel:
- Improves stability: A large metacentric height increases the stability of a vessel by providing a greater restoring moment. This means that the ship will be able to resist external forces that can cause it to tilt or capsize. As a result, the ship will be more stable and less susceptible to accidents.
- Shortens periodic time of oscillation: A large metacentric height also shortens the periodic time of oscillation of a vessel. Periodic time of oscillation is the time taken by a ship to complete one cycle of oscillation after being subjected to an external force. A shorter periodic time of oscillation means that the ship will be able to recover quickly from external forces and return to its upright position.
Conclusion
In summary, a large metacentric height improves the stability of a ship and shortens its periodic time of oscillation. However, it is important to note that a very high metacentric height can also impair the stability of a ship by making it too stiff and less responsive to external forces. Therefore, the optimal metacentric height for a ship depends on several factors such as its size, shape, and intended use.
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A large metacentric height in a vessela)improves stability and makes periodic time of oscillations longerb)impairs stability and makes periodic time of oscillation shorterc)has no effect on stability or periodic time of oscillationd)improves stability and makes periodic time of oscillation shorterCorrect answer is option 'D'. Can you explain this answer?
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A large metacentric height in a vessela)improves stability and makes periodic time of oscillations longerb)impairs stability and makes periodic time of oscillation shorterc)has no effect on stability or periodic time of oscillationd)improves stability and makes periodic time of oscillation shorterCorrect answer is option 'D'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about A large metacentric height in a vessela)improves stability and makes periodic time of oscillations longerb)impairs stability and makes periodic time of oscillation shorterc)has no effect on stability or periodic time of oscillationd)improves stability and makes periodic time of oscillation shorterCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A large metacentric height in a vessela)improves stability and makes periodic time of oscillations longerb)impairs stability and makes periodic time of oscillation shorterc)has no effect on stability or periodic time of oscillationd)improves stability and makes periodic time of oscillation shorterCorrect answer is option 'D'. Can you explain this answer?.
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