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\begin{tabular}{|l|l|l|l|l|} \hline Height of adjustable weight, \( y_{n} \) [mm] & Height of G above water surface.CG [mm] & dxi/d? [mm/n] & Metacentric Height GM [mm] & Height of M above water surface CM [mm] \\ \hline y1 & & & & \\ \hline y2 & & & & \\ \hline y3 & & & & \\ \hline \( y^{4} \) & & & & \\ \hline \( y^{5} \) & & & & \\ \hline \end{tabular} Plot the values of \( \mathrm{dx} / \mathrm{d} \theta \) against CG, the height of G above the water level. Determine the limiting value of CG at which the pontoon losses its stable equilibrium.

          \begin{tabular}{|l|l|l|l|l|}
\hline Height of adjustable weight, \( y_{n} \) [mm] & Height of G above water surface.CG [mm] & dxi/d? [mm/n] & Metacentric Height GM [mm] & Height of M above water surface CM [mm] \\
\hline y1 & & & & \\
\hline y2 & & & & \\
\hline y3 & & & & \\
\hline \( y^{4} \) & & & & \\
\hline \( y^{5} \) & & & & \\
\hline
\end{tabular}

Plot the values of \( \mathrm{dx} / \mathrm{d} \theta \) against CG, the height of G above the water level. Determine the limiting value of CG at which the pontoon losses its stable equilibrium.
        
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Height of adjustable weight, yn [mm]     Height of G above water surface.CG [mm]     dxi/d? [mm/n]     Metacentric Height GM [mm]     Height of M above water surface CM [mm] 

y1                 

y2                 

y3                 

y^4                 

y^5                 



Plot the values of dx / dθ against CG, the height of G above the water level. Determine the limiting value of CG at which the pontoon losses its stable equilibrium.

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Fluid Mechanics
Fluid Mechanics
John F. Douglas, Janusz M. Gasiorek,… 5th Edition
Chapter 3
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\begin{tabular}{|l|l|l|l|l|} \hline Height of adjustable weight, \( y_{n} \) [mm] & Height of G above water surface.CG [mm] & dxi/dθ [mm/n] & Metacentric Height GM [mm] & Height of M above water surface CM [mm] \\ \hline y1 & & & & \\ \hline y2 & & & & \\ \hline y3 & & & & \\ \hline \( y^{4} \) & & & & \\ \hline \( y^{5} \) & & & & \\ \hline \end{tabular} Plot the values of \( \mathrm{dx} / \mathrm{d} \theta \) against CG, the height of G above the water level. Determine the limiting value of CG at which the pontoon losses its stable equilibrium.
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