Question 4402 Deck General

70% to pass

When the height of the metacenter has the same value as the height of the center of gravity, the metacentric height is equal to _______________.

A the height of the metacenter
B zero
C the height of the center of gravity
D the same as half the height of the metacenter
AI Explanation

The correct answer is B) zero. When the height of the metacenter is the same as the height of the center of gravity, the metacentric height (GM) becomes zero. This is because the metacentric height is defined as the distance between the center of gravity (G) and the metacenter (M). If the heights of these two points are the same, then the distance between them is zero, resulting in a metacentric height of zero. The other options are incorrect because: A) the height of the metacenter is not equal to the metacentric height when they are the same; C) the height of the center of gravity is not equal to the metacentric height in this scenario; and D) half the height of the metacenter is not the same as the metacentric height when it is zero.

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