# How to move random point on an arc by matlab

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omar th on 24 Nov 2021
Commented: omar th on 4 Dec 2021
I deployed 2 nodes randomly by Binomial point process and
I wanted to move them on arc for specific distance then keep moving on straight line for specific distance and so forth, instead of Only move these nodes in straight lines.
given the turingangle of arc, length of arc, speed, acceleration of that node
could someone help me with that by using Matlab ? or advice me if this can be achieved by using Matlab and how ?

Image Analyst on 24 Nov 2021
Take your two points, and the angle you want to rotate them by, and construct the rotation matrix
r = [cosd(theta), -sind(theta); sind(theta), cosd(theta)];
Then multiply your x,y to get the rotated xy
x = 5;
y = 0
plot([0, x], [0, y], 'b.-', 'MarkerSize', 50, 'LineWidth', 3)
grid on;
% Construct rotation matrix
theta = 25;
r = [cosd(theta), -sind(theta); sind(theta), cosd(theta)];
% Then multiply your x,y to get the rotated xy
xyRotated = r * [x; y];
xr = xyRotated(1);
yr = xyRotated(2);
hold on
plot([0. xr], [0, yr], 'r*-', 'MarkerSize', 30, 'LineWidth', 3)
axis equal; % Need equal so the angle is not squashed.
omar th on 4 Dec 2021
Please, would you give me an example, by coding, if you don't mind?

R2018a

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