Use line design parameters to obtain coordinates

hi everyone, I would like to obtain the coordinate points that would produce the line in black in my image, given that I have R, R2, theta 1-3 as values. any help would be appreciated and I hope the image is clear

Answer 1

[Tushar]

Hi Ahmed,

I understand that you want to plot the 'black' line in the figure above.

I have reproduced the figure on my end. Here is the code snippet for it:

% Given values
R1=3; R2=0.2; theta1=60; theta2=30; theta3=45; 
% Adjust the tolerance as per your requirement
tolerance=0.05;

% Define the x-domain as [0,3] with a refinement of 0.01 (define as per
% your requirement)
x = 0:0.01:3;

% plot the blue line
m1  = 1/sqrt(3);  % Specify your slope
x1 = 0; % Specify your starting x
y1 = 0;  % Specify your starting y
y1_ = m1*(x - x1) + y1;
hPlot1 = plot(x,y1_,'blue'); % plot the graph, and store line reference in a variable.
xlabel('x');
ylabel('y');
hold on;

% plot the purple line
m2  = sqrt(3);  % Specify your slope
x2 = 0; % Specify your starting x
y2 = 0;  % Specify your starting y
y2_ = m2*(x - x2) + y2;
hPlot2 = plot(x,y2_,'red'); % plot the graph, and store line reference in a variable.
hold on;

% horizontal part of the black line
y3_=0*x + 3;
% find out the intersection of black and purple line
black_purple_index=find(abs(y2_-y3_)<tolerance);
black_purple_index=black_purple_index(1);
black_purple = [x(black_purple_index),y3_(black_purple_index)];
y3_=y3_(1:black_purple_index);
hPlot3 = plot(x(1:length(y3_)),y3_,'black','LineWidth',2);
hold on;

% other part of the black line
m4 = tand(75);
x4=black_purple(1);
y4=black_purple(2);
y4_ = m4*(x - x4) + y4;
% find out the intersection of black and blue line
black_blue_index=find(abs(y4_-y1_)<tolerance);
black_blue_index=black_blue_index(1);
black_blue = [x(black_blue_index),y1_(black_blue_index)];
y4_=y4_(black_blue_index:black_purple_index);
hPlot4 = plot(x(black_blue_index:black_purple_index),y4_,'black','LineWidth',2);
hold off;

You can review the code and adjust parameters such as 'tolerance' and the 'x' refinement as needed for your specific requirements.

Hope this helps!