plot an involute curve in matlab

To plot an involute curve in MATLAB, we need to define the parametric equations of the curve. The parametric equations for an involute curve are given by:

x = r*(cos(t) + tsin(t)) y = r(sin(t) - t*cos(t))

where r is the radius of the base circle, and t is the parameter that ranges from 0 to the angle that subtends the desired length of the involute curve.

Here is the MATLAB code to plot an involute curve:

main.m
% radius of the base circle
r = 2;

% angle for the involute curve
theta = 0:pi/180:6*pi;

% parametric equations for the involute curve
x = r*(cos(theta) + theta.*sin(theta));
y = r*(sin(theta) - theta.*cos(theta));

% plotting the involute curve
plot(x,y);
grid on;
xlabel('x');
ylabel('y');
title('Involute Curve');
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In this code, we set the radius of the base circle to 2 and the angle for the involute curve to range from 0 to 6*pi with a step of pi/180. We then use the parametric equations for the involute curve to compute the x and y coordinates for each value of theta. Finally, we plot the curve using the plot function, turn on the grid, and label the axes and title.