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Daily Question for Feb. 13, 2018

When the height of the metacenter is the same as the height of the center of gravity, the metacentric height is equal to __________.

A. the height of the metacenter

B. the height of the center of gravity

C. half the height of the metacenter

D. zero

Comments

  1. UnknownFebruary 13, 2018 at 2:45 PM

    D

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  2. Friends of STABILITY AND TRIM FOR THE SHIP'S OFFICERFebruary 13, 2018 at 5:47 PM

    GM = Metacentric Height
    KM = Height of Metacenter measured from the Keel, K.
    KG = Height of the Cernter of Gravity, G, measured from the Keel, K.

    GM = KM- KG

    If KM = KG, then GM = 0.

    The best answer is D.

    ReplyDelete
  3. UnknownFebruary 14, 2018 at 4:35 AM

    Looking up the definition of "Metacentric Height" It is the distance between G and M. Since their heights are equal... There is NO difference. Delta: Zero

    Might be close to an angle of lull ?

    These three terms took me a while to grasp and keep them straight.
    How I finally grasped the concept is once I realized when the word height came first that is the height of M or G. when it came after as in "Metacentric Height" then this was GM or the difference.

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  4. Friends of STABILITY AND TRIM FOR THE SHIP'S OFFICERFebruary 14, 2018 at 4:40 PM

    John Rose you make a very good point if the GM = 0 you are just on the edge of negative initial stability and the vessel could be heeled over easily by the wind alone. The rolling period will be almost infinitely long. Once the GM becomes negative the vessel will flop to one side but will refuse to stay upright. Again keep in mind a very small negative GM can cause a very large angle of loll!

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