Plot a rolling disk

1.1. Write MATLAB Script to animate the motion of the rolling disk for two complete rotations, showing (as a trace) the trajectory of the point on the rim. Take: radius of the disk equal to 10 units, radius of the point is also equal to 10 units. An example is presented below.

1.2 Produce a static plot for your system, showing the rim point's speed using the "quiver" command. An example is presented below.

                    r=10;y=10;
                    figure
                    t=0:pi/64/pi;
                     th = 0:pi/50:2*pi;
                       yline(0)
                    hold on
                   for x=-128:4:0
                       xp=r*cos(th)+x;
                       yp=r*sin(th)+y;
                        plot(xp,yp)
                        pause(0.1)
                   end
                   axis([-140 10 -40 60])
                   set(gca,'xtick',[-120:20:0])
                   set(gca,'ytick',[-50:10:70])
                   hold off`

[Abhishek Tyagi]

Please help me to solve this problem it's really important and urgent

[Geoff Hayes]

Abhishek - what have you tried so far? This looks like homework, so please discuss what you have attempted (showing code where necessary) and ask a specific question about what you don't understand or what errors you are observing with your code.

[Abhishek Tyagi]

@Geoff Hayes

i am not getting how to place trace points on rolling circles. Also how to calculate X and Y coordinates of points to be ploted

Answer 1

[Image Analyst]

Use a line style that places markers at each point, like 'b.-':

plot(xp, yp, 'b.-', 'MarkerSize', 15, 'LineWidth', 1)

[Abhishek Tyagi]

@Image Analyst

it will plot only circles, point showing rotation also has to be plotted

[Image Analyst]

Then get rid of the dot and lot short line segments using plot() or line() (like tick marks along the curved line). You just need to determine the endpoints of the line but that should be easy for you.