Plot two functions with several changing variables

I want to plot two functions against each other, however I currently have two changing variables (more to be added) however I get a couple error messages I cannot understand:

Matrix dimensions must agree.

Error in Footbridge_2 (line 9)

k = (p.*g + m.*g - n.*(m.*g) - (N-n).*m.*g) ./ -Lext;

Any help would be appreciated

p = 80;
m = 10;
n = 1:1:10;
g = 9.81;
N = 11;
Lext = 68:0.1:80;
L = 68;


k = (p.*g + m.*g - n.*(m.*g) - (N-n).*m.*g) ./ -Lext;

Arrays have incompatible sizes for this operation.

x = sqrt(Lext.^2 - L.^2);


plot(x,k)
xlabel('x')
ylabel('k')

Answer 1

[KSSV]

p = 80;
m = 10;
n = 1:1:10;
g = 9.81;
N = 11;
Lext = 68:0.1:80;
L = 68;

[n,Lext] = meshgrid(n,Lext) ; 
k = p.*g + m.*g - n.*(m.*g) - (N-n).*(m.*g) ./ -Lext;
x = sqrt(Lext.^2 - L.^2);


plot(x,k)
xlabel('x')
ylabel('k')

[the cyclist]

@KSSV, I ran your code revision, to show @Danny Brett what the output looks like.

Answer 2

[the cyclist]

I ran your code inline here. I'm guessing the slightly different error message is due to different MATLAB versions.

The heart of your problem is that you are trying to divide the vector n by the vector Lext, and they have different lengths. A simplified version of what you are attempting is

x = [2 3 5];
y = [7 11];
z = x./y

Arrays have incompatible sizes for this operation.

What does it mean to divide the 3-element vector by the 2-element vector?

You need to figure out what you actually intended to do here.

Answer 3

[VBBV]

p = 80;
m = 10;
n = 1:1:10;
g = 9.81;
N = 11;
Lext = linspace(68,80,length(n));
L = 68;
k = -(p.*g + m.*g - n.*(m.*g) - (N-n).*m.*g) ./ Lext;
x = sqrt(Lext.^2 - L.^2);
plot(x,k)
xlabel('x')
ylabel('k')

Make the vectors equal and plot it.

[the cyclist]

FYI, @Danny Brett, this solution assumes that n and Lext are linearly related to each other, and not independent of each other. The code will execute, but that doesn't mean it does what you intend.