Plotting with 3 variables

Hi! I'm trying to Create a displacement diagram showing x versus y and z versus y if 2.5≦y≦3.5 with an increment of 0.1.

The derived equation is: 2sin(z)+x*cos(z)= -y

Note that z, x, and y are just arbitrary variables

The problem I have is that the only changing variable is y.

I am a little stuck here, please help.

[Star Strider]

Care to expand on that a bit? Are x, y, and z vectors or scalars? Can you give an illustration of how x, y, and z relate?

[per isakson]

See documentation for

    surface(X,Y,Z)

[Pablo Cardenas]

they are vectors. z= Omega, x=r1, y= r2

Answer 1

[TED MOSBY]

Hi @Pablo Cardenas,

To create a displacement diagram with the given equation 2(sin(z)) + x(cos(z) = -y), we'll need to express (x) and (z) in terms of (y), given the range (2.5 <= y <= 3.5) with an increment of 0.1. Since (x) and (z) are arbitrary, we can choose different values for them to illustrate the displacement diagram.

% Constants 
x = 1; % Arbitrary constant value for x 
z = pi / 4; % 45 degrees in radians 

% Range for y 
y_values = 2.5:0.1:3.5; 

% Initialize arrays to store x and z values 
x_values = zeros(size(y_values)); 
z_values = zeros(size(y_values)); 

% Calculate corresponding x and z values 
for i = 1:length(y_values) 
    y = y_values(i); 
    
    % Calculate x based on the equation 
    x_values(i) = - (2 * sin(z) + y) / cos(z); 
    
    % z remains constant in this example 
    z_values(i) = z; 
end 

% Plot x vs y 
figure; 
subplot(1, 2, 1); 
plot(y_values, x_values, '-o'); 
title('x vs y'); 
xlabel('y'); 
ylabel('x'); 

% Plot z vs y 
subplot(1, 2, 2); 
plot(y_values, z_values, '-o'); 
title('z vs y'); 
xlabel('y'); 
ylabel('z'); 

% Adjust layout 
set(gcf, 'Position', [100, 100, 1000, 400]); 

Similarly, you can keep x as constant and calculate z accordingly.

Hope this helps!

Answer 2

[Walter Roberson]

x = linspace(-10,10);
z = linspace(-10,10);
y = -(2.*sin(z)+x.*cos(z));
plot3(x, y, z)
xlabel('x'); ylabel('y'); zlabel('z')