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y coordinates of center of buoyancy

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Lila
Lila 2021 年 3 月 29 日
回答済み: Are Mjaavatten 2021 年 3 月 29 日
Hello,
I have plotted a ship that is partially immersed in water.
With the following code, I calculated the area of the ship :
ship=polyshape(x,y)
figure(1)
hold on
plot(ship)
axis equal
plot(0,0,'*')
[xc,yc]=centroid(ship)
plot(centroid(ship),'x','Color','k')
rectangle=polyshape([-12 -12 12 12],[-6 6 6 -6])
plot(rectangle)
area(intersect(rectangle,coque_bateau))
Now, I need to find the y coordinate of the centroid of the immersed volume
I only know the total value of the immersed volume is Vim = 34,14 m^3
How can I find the centroid ? I am guessing I need to use again the intersect method, but I don't see how
I hope my question is clear enough, thank you in advance

回答 (1 件)

Are Mjaavatten
Are Mjaavatten 2021 年 3 月 29 日
Is this what you want?
x = [-8,-8,-6,0,6,8,8,-8];
y = [10,5,1,0,1,5,10,10];
ship=polyshape(x,y);
figure(1)
clf
hold on
plot(ship)
axis equal
[xc,yc]=centroid(ship);
plot(xc,yc,'xk')
rectangle=polyshape([-12 -12 12 12],[-6 6 6 -6]);
plot(rectangle)
submerged = intersect(rectangle,ship);
[xs,ys] = centroid(submerged);
A = area(submerged);
plot(xs,ys,'ok')
fprintf('Area = %.2f\n',A);
fprintf('Centroid y = %.2f\n',ys)

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