y coordinates of center of buoyancy

3 views (last 30 days)
Lila
Lila on 29 Mar 2021
Answered: Are Mjaavatten on 29 Mar 2021
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

Answers (1)

Are Mjaavatten
Are Mjaavatten on 29 Mar 2021
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)

Categories

Find more on Interactive Control and Callbacks in Help Center and File Exchange

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!