
How to generate lines between a fixed point and evenly spaced points on a line
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    Fazil Doruk Inanc
 on 3 May 2020
  
    
    
    
    
    Answered: Thiago Henrique Gomes Lobato
      
 on 3 May 2020
            I want to generate lines between a fixed point and evenly distributed points and calculate the length of each line. The reason for this implementation is to see how the length of the line (which represents the length of a cable) changes. Here is the code that I have written that;
1) Creates an evenly distributed points on a line (which is the path that the end of the cable will follow)
2) Creates the initial and final line between the origin(where the cable is winded and released from a pulley)
clc;
xlim([0, 100]);
ylim([0, 100]);
hold on 
Ax=0;
Ay=0;
x=40;
y=20;
plot([Ax x], [Ay y],'b')
hold on
x1=20;
y1=80;
plot([Ax x1], [Ay y1],'g')
hold on
L1 = sqrt((x1-x)^2 + (y1-y)^2);
m = abs(y1-y)/abs(x1-x);
if x<x1
X=x:5:x1;
else
X=x1:5:x;
n=length(X);  
Y=m*abs(X-x)+y;
for k=1:n
    plot(X,Y,'-*')
end
end
hold off

There should be 5 lines in the given figure and the lengths of those lines should be calculated by the use of the equation (code line:22) (L1 = sqrt(...))
Also, (if this knowladge is in any use) the spacing of the points will be much smaller in the real implementation.
Thank you for your time,
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Accepted Answer
  Thiago Henrique Gomes Lobato
      
 on 3 May 2020
        If I understood your question right you mean something like this?  
clc;
xlim([0, 100]);
ylim([0, 100]);
hold on 
Ax=0;
Ay=0;
x=40;
y=20;
plot([Ax x], [Ay y],'b')
hold on
x1=20;
y1=80;
plot([Ax x1], [Ay y1],'g')
hold on
L1 = sqrt((x1-x)^2 + (y1-y)^2);
m = abs(y1-y)/abs(x1-x);
if x<x1
X=x:5:x1;
else
X=x1:5:x;
n=length(X);  
Y=m*abs(X-x)+y;
plot(X,Y,'-*')
for k=2:n-1
    plot([Ax X(k)], [Ay Y(k)],'k')
end
Distances = sqrt( (X-Ax).^2+(Y-Ay).^2 )
end
hold off
Distances =
   82.4621   69.6419   58.3095   49.4975   44.7214

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