How can I define the time steps of an x-y plot?

Hi! I'm trying to make a script, which plots this equations.

https://www.wolframalpha.com/input/?i=plot+x%3D100*t%2B1.2*sin(2*pi*200*t)+and+y%3D0.6*sin(2*pi*200*t%2Bpi%2F2)+for+t+from+0+to+0.4

my code so far:

clc;clear;
t=0 % Time
tend=0.40 % end time
dt=0.01; % Time step
f=200; % Frequency in Hz
vs=100; %Velocity in x in mm/s
A1=1.2; %Amplitude in y-direction
A2=0.6; %Amplitude in x-dirction

for t=0:dt:tend;
    X=vs*t+A1*sin(2*pi*f*t);
    Y=A2*sin(2*pi*f*t+pi/2);
    plot (X, Y,'-b')
end

How can I define my time steps so that I get the same plot like like the one from the link? There is sth wrong with my time step.

Thnaks in advance

Answer 1

[infinity]

Hello,

To get the same figure, you should refine the time step and then you should store value of X and Y with respect to t before you plot them. For example, some lines below will give the same figure

clc;
clear;
close all

tend=0.40; % end time
dt=0.0001; % Time step
f=200; % Frequency in Hz
vs=100; %Velocity in x in mm/s
A1=1.2; %Amplitude in y-direction
A2=0.6; %Amplitude in x-dirction
t = 0:dt:tend;
X=vs*t+A1*sin(2*pi*f*t);
Y=A2*sin(2*pi*f*t+pi/2);
plot(X,Y,'-b')
xlabel('x')
ylabel('y')

% for t=0:dt:tend
%     X(i)=vs*t+A1*sin(2*pi*f*t);
%     Y(i)=A2*sin(2*pi*f*t+pi/2);
%     plot (X, Y,'-b')
%     hold on
% end

Answer 2

[Vladimir Palukov]

Thanks for the reply :)

Is it possible to use some form of for loop or sth to add the real time movement ot the oscillation? This is why I put the plot inside the loop on first place

[infinity]

Yes,

You can put the data X, Y inside the loop like this

clc;
clear;
close all
tend=0.40; % end time
dt=0.0005; % Time step
f=200; % Frequency in Hz
vs=100; %Velocity in x in mm/s
A1=1.2; %Amplitude in y-direction
A2=0.6; %Amplitude in x-dirction
t = 0:dt:tend;
X=vs*t+A1*sin(2*pi*f*t);
Y=A2*sin(2*pi*f*t+pi/2);

figure
for i = 1:1:length(t)-1
plot(X(1,i:i+1),Y(1,i:i+1),'-*b')
hold on
xlabel('x')
ylabel('y')
pause(1)
end
hold off

It will give you the movement of X, Y during the time.