create a Moving Box Simulation in 1D

I am trying to create a simulation like this one:

And I have problems making the rectangular box moves, here is the function I wrote:

function ac_plot(~, marker, color, size)

plot(rectangle('Position',[0 0 0.2 0.2],'EdgeColor','b','LineWidth',2),...
    rectangle('Position',[0 0 0.2 0.2],'EdgeColor','b','LineWidth',2),...
    marker, 'Color', color, 'MarkerSize', size)

The input should be an Array of positions, I don't know how to plug it in the input of the function, and I still have to work on the function so that the box moves.

I would appreciate any help!

[Jan]

The question is not clear yet. You show some code, but do not explain, what you want to do in the next step. Why is the first input of your function ignored?

rectangle is a matlab command, which draws a rectangle. You cannot insert in inside a plot command. What do you want to achieve?

[Hidd_1]

I saved the positions of the box in an array called q_Matrix, I don't know how to plug it in the input of the function, and I still have to find a way to make the box moves.

It would be great if you know how to create a colorful box like the one in the simulation.

[dez]

Do you know what the source of the gif is? I want to know the equations that were used to describe the motion.

Answer 1

[Jan]

axes('Xlim', [-1, 12], 'YLim', [0, 3]);
axis equal
BoxH = myBox(0, []);
dx = 0.1
for k = 1:100
   pause(0.3);
   myBox(dx, BoxH);
end

function BoxH = myBox(dx, BoxH)
  if isempty(BoxH)
      x = 1;
      y = 1;
      L = 1;
      
      BoxH = gobjects(4);
      BoxH(1) = line([x,   x+L], [y,   y],   'Color', 'b');
      BoxH(2) = line([x+L, x+L], [y,   y+L], 'Color', 'g');
      BoxH(3) = line([x+L, x],   [y+L, y+L], 'Color', 'r');
      BoxH(4) = line([x,   x],   [y+L, y],   'Color', 'm');
  else
      for k = 1:4
          BoxH(k).XData = BoxH(k).XData + dx;
      end
  end
end

[Hidd_1]

It really works!! Thank you

Answer 2

[Harshvardhan]

% Set up initial conditions
x = [0 10];    % Box starts at position 0, ends at position 10
v = 1;         % Box moves at a constant velocity of 1 unit per timestep
dt = 0.1;      % Timestep size
t = 0;         % Start time

% Set up plot
figure;
xlim([-5 15]);
ylim([-1 1]);
xlabel('Position');
title('Moving Box Simulation');

% Main loop
while x(2) < 15    % Keep moving until the box reaches position 15
    % Update position
    x = x + v*dt;

    % Clear plot and draw box
    clf;
    plot(x, [0 0], 'k-', 'LineWidth', 2);
    drawnow;
    pause(0.01);

    % Update time
    t = t + dt;
end