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The metacentric heights of two floating bodies A and B are 1 m and 1.5 m respectively. Select thecorrect statement.
- a)The bodies A and B have equal stability
- b)The body A is more stable than body B
- c)The body B is more stable than body A
- d)The bodies A and B are unstable
Correct answer is option 'C'. Can you explain this answer?
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The metacentric heights of two floating bodies A and B are 1 m and 1.5...
Higher the metacentric height ,higher will be the stability of the body
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The metacentric heights of two floating bodies A and B are 1 m and 1.5...
Explanation:
In fluid mechanics, the metacentric height is a measurement of the stability of a floating body. It is the distance between the center of gravity of the body and the metacenter, which is the intersection point of the vertical line passing through the center of buoyancy and the centerline of the body when it is in equilibrium.
The metacentric height is an important parameter in determining the stability of a floating body. It indicates how quickly a body returns to its original position after being tilted or disturbed. A higher metacentric height signifies greater stability, while a lower metacentric height indicates lower stability.
Now let's analyze the given information:
- The metacentric height of body A is 1 m.
- The metacentric height of body B is 1.5 m.
Comparison:
To determine which body is more stable, we need to compare their metacentric heights.
- Body A has a metacentric height of 1 m.
- Body B has a metacentric height of 1.5 m.
The body with a higher metacentric height is more stable. Therefore, we can conclude that:
The body B is more stable than body A.
This means that when body B is tilted or disturbed, it will return to its original position more quickly and with less oscillation compared to body A.
Summary:
The correct statement is option 'C': The body B is more stable than body A. This is determined by comparing their metacentric heights, where body B has a higher metacentric height of 1.5 m compared to body A's 1 m.
In fluid mechanics, the metacentric height is a measurement of the stability of a floating body. It is the distance between the center of gravity of the body and the metacenter, which is the intersection point of the vertical line passing through the center of buoyancy and the centerline of the body when it is in equilibrium.
The metacentric height is an important parameter in determining the stability of a floating body. It indicates how quickly a body returns to its original position after being tilted or disturbed. A higher metacentric height signifies greater stability, while a lower metacentric height indicates lower stability.
Now let's analyze the given information:
- The metacentric height of body A is 1 m.
- The metacentric height of body B is 1.5 m.
Comparison:
To determine which body is more stable, we need to compare their metacentric heights.
- Body A has a metacentric height of 1 m.
- Body B has a metacentric height of 1.5 m.
The body with a higher metacentric height is more stable. Therefore, we can conclude that:
The body B is more stable than body A.
This means that when body B is tilted or disturbed, it will return to its original position more quickly and with less oscillation compared to body A.
Summary:
The correct statement is option 'C': The body B is more stable than body A. This is determined by comparing their metacentric heights, where body B has a higher metacentric height of 1.5 m compared to body A's 1 m.
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The metacentric heights of two floating bodies A and B are 1 m and 1.5 m respectively. Select thecorrect statement.a)The bodies A and B have equal stabilityb)The body A is more stable than body Bc)The body B is more stable than body Ad)The bodies A and B are unstableCorrect answer is option 'C'. Can you explain this answer?
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The metacentric heights of two floating bodies A and B are 1 m and 1.5 m respectively. Select thecorrect statement.a)The bodies A and B have equal stabilityb)The body A is more stable than body Bc)The body B is more stable than body Ad)The bodies A and B are unstableCorrect answer is option 'C'. 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 The metacentric heights of two floating bodies A and B are 1 m and 1.5 m respectively. Select thecorrect statement.a)The bodies A and B have equal stabilityb)The body A is more stable than body Bc)The body B is more stable than body Ad)The bodies A and B are unstableCorrect answer is option 'C'. 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 The metacentric heights of two floating bodies A and B are 1 m and 1.5 m respectively. Select thecorrect statement.a)The bodies A and B have equal stabilityb)The body A is more stable than body Bc)The body B is more stable than body Ad)The bodies A and B are unstableCorrect answer is option 'C'. Can you explain this answer?.
The metacentric heights of two floating bodies A and B are 1 m and 1.5 m respectively. Select thecorrect statement.a)The bodies A and B have equal stabilityb)The body A is more stable than body Bc)The body B is more stable than body Ad)The bodies A and B are unstableCorrect answer is option 'C'. 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 The metacentric heights of two floating bodies A and B are 1 m and 1.5 m respectively. Select thecorrect statement.a)The bodies A and B have equal stabilityb)The body A is more stable than body Bc)The body B is more stable than body Ad)The bodies A and B are unstableCorrect answer is option 'C'. 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 The metacentric heights of two floating bodies A and B are 1 m and 1.5 m respectively. Select thecorrect statement.a)The bodies A and B have equal stabilityb)The body A is more stable than body Bc)The body B is more stable than body Ad)The bodies A and B are unstableCorrect answer is option 'C'. Can you explain this answer?.
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The metacentric heights of two floating bodies A and B are 1 m and 1.5 m respectively. Select thecorrect statement.a)The bodies A and B have equal stabilityb)The body A is more stable than body Bc)The body B is more stable than body Ad)The bodies A and B are unstableCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for The metacentric heights of two floating bodies A and B are 1 m and 1.5 m respectively. Select thecorrect statement.a)The bodies A and B have equal stabilityb)The body A is more stable than body Bc)The body B is more stable than body Ad)The bodies A and B are unstableCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of The metacentric heights of two floating bodies A and B are 1 m and 1.5 m respectively. Select thecorrect statement.a)The bodies A and B have equal stabilityb)The body A is more stable than body Bc)The body B is more stable than body Ad)The bodies A and B are unstableCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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